The possible values for the third side's measurement are3 < x < 17. Any two sides of a triangle's lengths added together must be longer than the third side.
How do you determine a triangle's perimeter?The third side of a triangle must always have a length that is between (but not exactly) the sum and the difference of the other two sides.Any two sides of a triangle's lengths added together must be longer than the third side.Each side of a triangle with sides a, b, and c must fall within the difference and total of the other two.For instance, side a must be between b-c and b+c or b-cab+c. The third side must fall between 10 -7 = 3 and 10 + 7 = 17.To learn more about Possible values third side of a triangle refer to:
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Find the value of x.
Answer:
x = 4
Step-by-step explanation:
3x -1 +13 = 6x Combine like terms
3x + 12 = 6x Subtract 3x from both sides of the equation
12 = 3x Divide both sides of the equation by 3
4 = x
Harry needs wood pieces to complete a project in woodshop class. He needs three pieces of wood that have a length of two and three eighths feet and five pieces of wood that are one and one third feet. What is the total amount of wood that Harry will need for the project?
one and seven ninths feet
three and one sixth feet
three and five sevenths feet
thirteen and nineteen twenty fourths feet
The total amount of wood that Harry will need for the project is D. thirteen and nineteen twenty fourths feet
How to calculate the fraction?From the information illustrated, Henry needs three pieces of wood that have a length of two and three eighths feet and five pieces of wood that are one and one third feet.
The total fraction that's needed will be the addition of the fraction given. This will be:
= (3 × 2 3/8) + (5 × 1 1/3)
= (3 × 19/8) + (20/3)
= 57/8 + 20/3
= 7 1/8 + 6 2/3
= 7 3/24 + 6 16/24
= 13 19/24
Therefore, the correct option is D.
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Two angles in triangle PQR are congruent, ∠P and ∠Q; ∠R measures 34.15°. What is the measure of ∠P?
145.85°
57.45°
34.15°
72.925°
The required measure of angle ∠P is 72.925° which is the correct answer would be an option (D).
What is an Isosceles Triangle?An Isosceles Triangle is defined as a triangle with two sides of equal length is an isosceles triangle.
Two angles in a triangle ΔPQR are congruent, ∠P and ∠Q;
Here ∠R measures 34.15°.
It is an isosceles triangle, hence ∠Q = ∠P.
Let it be x
Now, we know that the sum of the angles of a triangle is 180 degrees.
So,
∠P+ ∠Q + ∠R = 180°
x + x + 34.15° = 180°
2x = 180° − 34.15°
2x = 145.85°
x = 145.85° / 2
x = 72.925°
Therefore, ∠Q = ∠P =72.925°
Hence, the required measure of angle ∠P is 72.925° which is the correct answer would be option (D).
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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!
The correct choice for the given Column A is given below respectively to Column B i.e. 1(a), 2(b), 3(d), 4(f), and 5(c).
What is an angle?
Two straight lines or rays intersecting at the same endpoint is called an angle. The vertex of an angle is the point at which all points meet.
From question,
angle 7 and 6 = Vertical angles
angle 1 and 8 = Alternate Exterior angle
angle 4 and 5 = Alternate Interior angle
angle 2 and 6 = Corresponding angle
angle 6 and 8 = Supplementary angle
Hence, the respective answer for the given column A is provided above in Column B.
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The following angles are supplementary to each other.
m∠A = (2x − 27)° and m∠B = (3x + 27)°
Determine x.
55
36
18
9
Answer:
36
Step-by-step explanation:
(2x - 27) + (3x + 27)= 180 (supplementary)
2x - 27 + 3x + 27 = 180
2x + 3x + 27 - 27 = 180
5x + 0 = 180
180 ÷ 5 = x
36 = x
The value of x in given angles is 36°
What are supplementary angles?When the sum of two angles is 180°, then they are said to be supplements of each other.
Given are two angles which are supplements of each other,
Then according to definition of supplementary angles,
m∠A+m∠B = 180°
(2x − 27)°+(3x + 27)° = 180°
2x+3x = 180°
5x = 180°
x = 180°/5
x = 36°
Hence, The value of x in given angles is 36°
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Select the correct answer.
Based on this stock price model, what is the best prediction of what the price will do next?
Price per Share ($)
14,000
7,000
2010
2011 2012 2013
Time (years)
2014
2015
Based on this stock price model, the best prediction of the price will do next B) start decreasing .
What is stock price?
The cost of one sellable equity share of a corporation, or "share," represents its current market value. In simple terms, the stock price is the maximum price that a buyer will accept for the stock or the lowest price at which it can be purchased. The price at which a security was most recently sold on an exchange is known as the "current price." Buyers and sellers use the current price as a starting point. Although current pricing is a good reflection of current worth, supply and demand may cause the actual price of the next sale to vary.
Here we know that if stock price reach specific point , its starts decreasing.
When a stock's price reaches a certain level, a buy stop limit is used to make the purchase. Once they've settled on a reasonable maximum price per share, it aids traders in keeping the purchase price of stock under control. The trader then establishes a stop price and a limit price after stating the highest price they are willing to pay for each stock.
Hence the correct answer is B) start decreasing.
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Determine the domain of the function h(x)=9x/x(x^2-49)
Answer:
(−∞,−7)∪(−7,0)∪(0,7)∪(7,∞)
Step-by-step explanation:
Answer:a. {x|x≠+-7}
Step-by-step explanation:
help me out thank you
The statement can be completed as 3.2^2 - 1 and 10 - 0.33 * 2 should be joined by less than to form an inequality
What is inequality?When the relationship between an expression on the left hand side and on the right hand side is related using the inequality symbol, such expression is referred to as Inequality expression.
The operators used in inequality are of as below
less than or equal togreater than or equal toless thangreater thanThe expression is solved as follows
10 - 0.33 * 2
= 10 - 0.66
= 9.34
3.2^2 - 1
= 10.24 - 1
= 9.24
The statement for the two expression the two is as below
9.24 < 9.34
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What steps should be taken to calculate the volume of the right triangular prism? Select three options. A triangular prism. The triangular base has a base of 8 meters and height of 14 meters. The height of the prism is 7 meters. Use the formula A = one-half b h to find the area of the base. Use the formula A = b h to find the area of the base. The area of the base, A, is One-half (7) (8) = 28 meters squared. The area of the base, A, is One-half (8) (14) = 56 meters squared. The volume of the prism, V is (56) (7) = 392 meters cubed.
Three options which are used to calculate the volume of a right triangular prism, with triangular base whose base = 8meters , height = 14meters and height of the prism = 7meters are as follow:
To calculate area of the base use formula A = One-half (bh)The area of the base is = One-half ( 8) ( 14)= 56 squared meters
Volume of the prism 'V' = ( 56 ) ( 7 )= 392 meters cubed.
As given in the question,
To calculate the volume of the right triangular prism, with triangular base Measures of the triangular base are :
Base = 8meters
Height = 14meters
Height of the prism = 7meters
Three valid options from the given options are as follow:
1. To calculate the area of the base:
Area of the base of triangular prism = 1/2 ( base ) ( height)
Correct option.
2. To calculate the area of the base:
Area of the base of triangular prism = ( base ) ( height)
Incorrect option.
3. To calculate the area of the base:
Area of the base of triangular prism = 1/2 ( 7 ) ( 8)
Height of the base is 14 meters.
Incorrect option.
4. To calculate the area of the base:
Area of the base of triangular prism = 1/2 ( 8 ) ( 14)
= 56 meters squared
Correct option.
5. Volume of the right triangular prism = (56 ) (7)
= 392 meters cubed
Correct option.
Therefore, Three options which are used to calculate the volume of a right triangular prism, with triangular base whose base = 8meters , height = 14meters and height of the prism = 7meters are as follow:
To calculate area of the base use formula A = One-half (bh)The area of the base is = One-half ( 8) ( 14)= 56 squared meters
Volume of the prism 'V' = ( 56 ) ( 7 )= 392 meters cubed.
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A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 86 kilograms. A
delivery of 6 large boxes and 2 small boxes has a total weight of 122 kilograms. How much does each type of box weigh?
Weight of each large box:
Weight of each small box:
kilogram(s)
kilogram(s)
As per the substitution method, the weight of the large box is 6.25 kilograms and the weight of the small box is 42.25 kilograms.
Substitution method:
The process of substitute the value of a variable found by one equation in the second equation is known as substitution method.
Given,
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 86 kilograms. A delivery of 6 large boxes and 2 small boxes has a total weight of 122 kilograms.
Here we need to find the weight of each large box and the weight of each small box.
Let us consider the weight of the large box is x and the weight of the small box is y.
So, according to the given situation, we have 3 large boxes and 5 small boxes has a total weight of 86 kilograms,
So, it can be written as
=> 3x + 5y = 86 -----------------(1)
Similarly, for the 6 large boxes and 2 small boxes has a total weight of 122 kilograms,
We have the equation as,
=> 6x + 2y = 122 ----------------(2)
Here we have to simplify the equation (2), by dividing both sides by 2,
Then we get
=> 3x + y = 61 ---------------------(3)
Now, we have to subtract equation (1) from equation(2), then we get,
=> 4x = 25
=> x = 25/4
Therefore, the value of x = 6.25.
In the value of x is 6.25, then the value of y is calculated as,
=> 3(6.25) + y = 61
=> 18.75+ y = 61
=> y = 61 - 18.75
=> y = 42.25
Therefore, the weight of the large box is 6.25 and the weight of the small box ix 42.25 kilograms
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Ellie's mom has $375 and shares it equally between her 5 children. How much money does each child get?
Answer:
$75
Step-by-step explanation:
$375÷5
=$75
That is each child got $75 after the $375 were been shared between the five children equally
The average high temperatures in degrees for a city are listed. 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57 If a value of 101° is added to the data, how does the mean change?
Answer:
The mean goes up from approximately 80.4 to 82.
Step-by-step explanation:
Before adding 101°, the mean i2:
(58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57)/12 = 80.4
After adding the value 101°, the mean is:
(58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57 + 101)/13 = 82
The mean goes up from approximately 80.4 to 82.
What is the value of the expression cd if c = 7.08 and d = 6.7?
Will give brainlest!!!
Answer: 47.436
Step-by-step explanation:
Two variables next to each other mean that you need to multiply the variables.
So the equation is 7.08 x 6.7.
7.08 x 6.7 = 47.436
About what percent of Davon's monthly budget was NOT spent on his mortgage?
A) 59%
B) 50%
C) 25%
D) 41%
Brian went shopping and spent $16 $ 16 on scarves. If he spent $76 $ 76 total, what percentage did he spend on scarves? Round your answer to the nearest percent.
Answer:
21% spend on scarves
Step-by-step explanation:
Brian went shopping and spent $16 on scarves. If he spent $76 total, what percentage did he spend on scarves? Round your answer to the nearest percent.
16/76 = 0.2105...
as a percentage:
21.05%
rounded:
21% spend on scarves
1
Maria buys 12 boxes of mince pies.
There are 6 mince pies in a box.
She is planning an event for 40 people and would like everyone to have 2 pies.
Did she buy enough boxes of mince pies?
Answer:
Step-by-step explanation:
12x6 = 72
So 40x2
72 pies she needs 80
So awnser is no she needs 2 more boxes
at 1:00, the water level in a pool is 13 inches. At 3:00, the water level is 28 inches. What is the rate of change in inches per hour
The rate of change of water level in inches per hour is 7.5 inches per hour.
According to the question,
We have the following information:
At 1:00, the water level in a pool is 13 inches. At 3:00, the water level is 28 inches.
Now, in order to find the rate of change of water level, we will find the increase in water level in the given time.
So, the elapsed is 2 hours (3-1).
Increase in water level:
28-13
15 inches
Now, rate of change:
Increase in water level/number of hours
15/2
7.5 inches per hour
Hence, the rate of change of water level in inches per hour is 7.5 inches per hour.
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Can anybody please helpe
Answer:
decreased = $2091 ; remaining amount = $6409
Step-by-step explanation:
24.6 : 100 = x : 8500
x = 8500 * 24.6 / 100
x = 85 * 24.6 = $2091
8500 - 2091 = $6409
IXL Help Fast Please !
Answer:
x=4
Step-by-step explanation:
85-2x=93-4x
-2x=8-4x
2x=8
x=4
Hopes this helps please mark brainliest
Amy left for Chicago at 9:30 a.m. She planned on attending a meeting at 2:30. She traveled 480 miles
and arrived at her destination at 1:30 p.m. What is the ratio of miles traveled to hours?
Answer:
1:120
Step-by-step explanation:
It's 4:480 but simplified is 1:120.
The hours have a difference of 4
The miles is just 480.
Answer:
The answer is 4:480, with the number of hours traveled as the first value, and the second value being the number of miles traveled. If you want to simplify the ratio, divide both sides by 4 to get 1:120, meaning for every hour she traveled, she traveled 120 miles.
Step-by-step explanation:
To find out how many hours she traveled, count from the time she left to Chicago, until the time she arrived at her destination. 9:30 AM to 1:30 PM is a total of 4 hours. The amount of miles is already given in the question, which is 480. Meaning the ratio of hours traveled to miles traveled is 4:480. To find out how many miles she traveled for every hour, all we have to do is divide the hours traveled to the miles traveled. Then divide the hours traveled to itself. We then have 1:120.
Question 7(Multiple Choice Worth 2 points)
(Constant of Proportionality MC)
The equation g equals three fifths times m represents the proportional relationship of the number of gallons of water (g) used by a washing machine over a certain period of time, in minutes (m).
Create a written description for the equation.
For each minute the washing machine runs, it uses five thirds gallons of water.
For each minute the washing machine runs, it uses three fifths of a gallon of water.
For each gallon of water the washing machine uses, it runs for three fifths of a minute.
For each gallon of water the washing machine uses, it runs for 8 minutes.
The proportionality is a relation between two quantities. The equation for the given cases can be written as 3g = 5m, 5m = 3g, 5g = 3m and g = 8 m.
What is Proportionality?When two quantities have some dependence in their values they can be said to be proportional to each other.
It can be of two types such as direct and indirect.
The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies that the value of one quantity is increasing while the other is decreasing.
Given that,
The number of gallons of water = g,
The number of minutes = m,
And, the equation for the given condition as,
g = 3 / 5 m
The equation for each minute the washing machine runs, it uses five thirds gallons of water is given as,
g = 5 / 3 m
=> 3g = 5m
The equation for each minute the washing machine runs, it uses three fifths of a gallon of water is given as,
m = 3 / 5 g
=> 5m = 3g
The equation for each gallon of water the washing machine uses, it runs for three fifths of a minute is given as,
g = 3 / 5 m
=> 5g = 3m
The equation for each gallon of water the washing machine uses, it runs for 8 minutes is given as,
g = 8 m
Hence, the equation for the given conditions can be written as,
3g = 5m, 5m = 3g, 5g = 3m and g = 8 m.
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Given the equation of the ellipse in general conic form, convert to standard form.
4x² + y² + 72x+10y + 285 = 0
.
O.
(x-6)²
16
(x+5)²
16
(x+9)²
16
(x+9)²
64
+ (y+8)²
64
+
+
+
(y-9)²
64
(y+5)²
64
(y+5)²
16
= 1
1
= 1
= 1
The equation of ellipse in standard form is:
[(2x + 18)² /8²] + [(y + 5)² /8²] = 1
The equation of the ellipse in general conic form is,
4x² + y² + 72x+10y + 285 = 0
comparing given equation with Ax^2+Bxy+Cy^2+Dx+Ey+F=0 we get,
A = 4, B = 0, C = 1, D = 72, E = 10, F = 285
Consider given equation of conic,
4x² + y² + 72x+10y + 285 = 0
4x² +72x + y² + 10y = - 285
4x² +72x + 324 + y² + 10y = - 285 + 324
(2x + 18)² + y² + 10y + 25 = - 285 + 324 + 25
(2x + 18)² + (y + 5)² = 64
(2x + 18)² + (y + 5)² = 8²
(2x + 18)² /8² + (y + 5)² /8² = 1
Therefore, the equation of ellipse in standard form is:
[(2x + 18)² /8²] + [(y + 5)² /8²] = 1
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Calculate the cardinal number of the set Q containing all digits that make up the number q=58,368,964,277.
the right answer should be A
The cardinal number of the set Q containing all digits that make up the number q=58,368,964,277 is 8.
What is Cardinal Number of a Set?Cardinal number of a set is defined as the number of distinct elements in the set. A finite set has a finite number of elements, let it be n. Then the cardinal number of that set is N.
Given number is q=58,368,964,277.
The set containing the digits of q can be represented as,
Q = {5, 8, 3, 6, 9, 4, 2, 7}
The repeated elements are only written once.
Number of elements in the set = 8
So the cardinal number of the set = 8
Hence the cardinal number of the set containing the digits of q=58,368,964,277 is 8.
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A plant is already 11 centimeters tall, and it will grow one centimeter every month. Let H be the plant's height (in centimeters) after M months. Write an equation relating H to M . Then graph your equation using the axes below.
You and your friend are talking about your solutions to problem 2. Your friend said that there are exactly 12 different pairs of numbers with a difference of 12 and that he had found them all. How would you respond to him?
Since there are an unlimited number of such pairs of integers, we are unable to locate all conceivable numbers with a difference of 12.
What is difference?
The method or collection of characteristics by which one item is distinguished from another within a relational field or a certain conceptual system is known as difference, which is a significant notion in philosophy.
My friend is mistaken, I would reply, as there are an endless number of pairings of numbers with a difference of 12.
25 - 13 = 12
26 - 14 = 12
27 - 15 = 12
28 - 16 = 12
....
By increasing the first and second numbers in this situation by 1, we can obtain a result where their difference is equal to 12 as a result.
In the same way, negative numbers are also possible:
-1 - (-13) = 12
-2 - (-14) = 12
-3 - (-15) = 12
...
Truth be told, we can also do this with decimals.
15.5 - 3.5 = 12
16.5 - 4.5 = 12
17.5 - 5.5 = 12
Therefore, due to the infinite amount of real numbers, such pairs of numbers exist, and we are unable to locate all conceivable numbers with a difference of 12.
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Find the length of side x in simplest radical form with a rational denominator.
30°
10
X
60°
Answer:
50
Step-by-step explanation:
30 divided by 10 + x in the from of 60, 10-10=0 60-10=50
5500 pesos is $290 US Dollars, if a game costs 1200 pesos, how much will it cost in US dollars?
Kevin needs to read 3 novels each month.
Let N be the number of novels Kevin needs to read in M months.
Write an equation relating N to M. Then use this equation to find the number of novels Kevin needs to read in 19 months.
The equation relating N to M be N = 3M and
Kevin needs to read 57 Novels in 19 months.
Given, Kevin needs to read 3 novels each month.
Let N be the number of novels Kevin needs to read in M months.
According to question,
1 month = 3 novels
M months = 3M novels
Now, as he needs to read a total of N novels.
So, N = 3M.
Also, the number of novels he needs to read in 19 months be,
N = 3×19
N = 57 novels.
Hence, the equation relating N to M be N = 3M and the number of novels Kevin needs to read in 19 months be 57.
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Tiffany, Gary and Noland start at the same time walking around a circular track in the same direction. Tiffany takes ½ hour to walk around the track. Gary takes 5/12 hour, and Noland takes 1/3 hour.
1) How many minutes does it take each person to walk around the track?
2) How many times will each person go around the track before all three meet again at the starting line?
3) Explain how you arrived at the solution for question 2.
The 1/2, 5/12, and 1/2 hour duration it takes Tiffany, Gary, and Noland to walk round the park provides the following;
1) The time in minutes it takes Tiffany to walk round the park is 30 minutes
Gary takes 25 minutes and Noland takes 20 minutes to walk round the park
2) Tiffany will go round 12 times, Gary will go round 12 times and Noland will go round the park 15 times before all three will meet again.
3) The solution to question 2 is arrived at by dividing the least common multiple of 30, 25, and 20, which is 300 by 30, 25, and 20 respectively
What is the least common multiple of two or more numbers?The least common multiple also known as the L.C.M. is the least number two or more numbers have as their multiples.
The time it takes Tiffany to walk around the track = 1/2 hour
The time it takes Gary to walk round the park = 5/12 hour
The time it takes Noland to walk round the park = 1/3 hour
1) The duration in minutes it takes each person to walk round the park are found using the conversion factor for minutes and hours as follows;
60 minutes = 1 hour
Therefore;
1/2 hour = 30 minutes
It takes Tiffany 30 minutes to walk around the track
5/12 hour = 25 minutes
It takes Gary 25 minutes to walk around the track
1/3 hours = 20 minutes
It takes Noland 20 minutes to walk round the park
2) The number of times each person will go round the track before all three meet again is given by the least common multiple of 30, 25, and 20, which is 300
Therefore;
The number of times Tiffany would walk round the park before all three meet again is 300 ÷ 30 = 10
The number of times Gary would walk round the park = 300 ÷ 25 = 12
The number of times Noland walks round the park = 300 ÷ 20 = 15
When all three meet again, Tiffany will halve walked 10 times, Gary would have walked 12 times and Noland would have walked 15 times round the park.
3) The solution for question 2 was arrived at by looking for the lowest common multiple of the durations it takes each of the three persons to walk round the park. The least common multiple provides the time at which all three will have made complete cycles simultaneously.
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How can I find the height of a shape?
The volume of an object is entirely dependent on its height. You need to know an object's geometric shape, such as its cube, rectangle, or pyramid, in order to calculate its height.
What are geometric shapes?
Geometric shapes are closed figures created using points, line segments, circles, and curves. Such shapes can be seen everywhere around us.
Rectangular Objects' Height
Height x Depth x Width is the equation for a solid rectangle's volume. To get the height of a rectangular item, divide the volume by the product of the length and width.
Size of Cube
A cube is a type of rectangle with identical sides. Therefore, cube the length of any side to find the volume. Calculate the cube root of a cube's volume to determine the height.
Cylinder's height
A cylinder is a straight rod or peg with a circular cross-section that is circular from top to bottom and has the same radius. The circle's area (pi x radius2) multiplied by the height gives the object's volume. To determine the height of a cylinder, divide its volume by the radius's squared value multiplied by pi.
Size of the Pyramid
A square pyramid has four triangular sides that come together at a point on the summit and a flat square base. Volume is calculated as follows: length x width x height. To get a pyramid's height, multiply the volume by three and then divide the result by the base's surface area.
Height of Pyramid
A square pyramid has a flat square base and four triangular sides that meet at a point on the top. The volume formula is length x width x height ÷ 3. Triple the volume of a pyramid and then divide that amount by the area of the base to calculate its height.
size of the prism
Prisms come in a variety of shapes, some have bases that are triangular, while others have bases that are rectangular. Both times, the cross-section is the same throughout, just like a cylinder. The area of the base times the height equals the prism's volume. Therefore, multiply the base area of a prism by its volume to determine its height.
Therefore, the volume of an object is entirely dependent on its height. You need to know an object's geometric shape, such as its cube, rectangle, or pyramid, in order to calculate its height.
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