The surface areas of two similar solids are 16m2 and 100 m2. The volume of the larger one is 750m3. What is the volume of the smaller one?

Answers

Answer 1

Answer:

48 m^3

Step-by-step explanation:

If the scale factor of linear dimensions between two solids is k, then the scale factor for areas is k^2, and the scale factor of volumes is k^3.

Let's call the solid with 16 m^2 of area solid A, and the other one solid B.

The scale factor of areas from, A to B is (100 m^2)/(16 m^2) = 25/4

In other words, multiply the area of the solid A by 25/4 to get the area of solid B.

Let's check: 16 m^2 * 25/4 = 16 * 25/4 m^2 = 4 * 25 m^2 = 100 m^2

We do get 100 m^2 for solid B, so the area scale factor of 25/4 is correct.

The area scale factor is k^2, so we have:

k^2 = 25/4

We solve for k:

k = 5/2

Now we cube both sides to get k^3, the scale factor of volumes.

k^3 = 5^3/2^3

k^3 = 125/8

Let V = volume of smaller solid, solid A.

V * 125/8 = 750 m^3

V = 750 * 8/125 m^3

V = 48 m^3


Related Questions

if SOMEONE MAKE 4 SMOOTHIES WITH A RATION OF 2;3 WHAT IS AN EQUIVALENT RATIO

Answers

Answer:

8 smoothies: 4:6

2 smoothies: 1:1.5, etc.

39. Which ordered pair is a solution to the
equation y=-6x? (MAFS.912.A-
REI.4.10)
a. (12,-2)
b.(3,-9)
C. (-10, 60)
d. (18,-3)

Answers

Answer:

Its letter A. (12, -2)

Step-by-step explanation:

The score on a test are normally distributed with a Mean of 140 and a standard deviation of 28 find the score of that is one and a half standard deviation 140 standard deviation 28 score is one and a half standard deviation

Answers

The score that is one and a half standard deviation is 182.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x\ is\ raw\ score, \mu\ is\ mean, \sigma\ is\ standard \ deviation[/tex]

Given that:

μ = 140, σ = 28. For a z score of 1.5(one and a half):

[tex]1.5=\frac{x-140}{28} \\\\x-140=42\\\\x = 182[/tex]

The score that is one and a half standard deviation is 182.

Find out more at: https://brainly.com/question/7449180

find the missing side of each triangle

Answers

Answer:

where is the triangle

Step-by-step explanation:

I don't no where is the triangle

The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.

Fraction:
Decimal:
Percent:

Answers

Answer:

Fraction: 9/10

Decimal: 0.9

Percent: 90%

help asap!!!! please!!

Answers

Answer:

13 blue and 20 yellow

urwelcome

Use the given information to prove that CA = CB.

20 POINTS!!

Answers

The question and image??

Help I will give brainlest

Answers

8(x+18) is less than or equal to 19

how many times larger is 2 x 10[12] than 5 x 10[6]

Answers

Answer:

Step-by-step explanation:

2 x 10¹² / 5 x 10⁶ = 2/5 x 10⁽¹²⁻⁶⁾ = 0.4 x 10⁶ = 4 x 10⁵

In the year 2001, a person bought a new car for $12000. For each consecutive year after that, the value of the car depreciated by 10%. How much would the car be worth in the year 2004, to the nearest hundred dollars? i need this asap

Answers

Answer: $8700.

Step-by-step explanation:

The equation we can use is p  x  r^years.

p is the original value ($12000).

r is our multiplier, it goes down by 10% so our multiplier is 1-0.1 giving us 0.9.

IT is 2001 to 2004 so 3 years so we do r to the power of 3.

So we use 12000 x 0.9^3.

This is equal to 8748, to the nearest 100 dollars its $8700.

-7(-2 ( 3x+1)+ 4) +9​

Answers

Answer:

correct answer is explained in the picture attached

write 164/100 as a mixed number in simplest form.

Answers

Answer:

1 16/25

Step-by-step explanation:

I just recently learned this kind of stuff!

Answer:

1 16/25

Step-by-step explanation:

164-100=64

Common factors of 64 and 100:

1, 2, 4

Greatest common factor: 4

64/4=16

100/4=25

16/25

1 16/25

Find the values of the variables.

Answers

Answer:

  x = 50

  y = 65

Step-by-step explanation:

The marked sides show you that the triangle is isosceles. That means the base angles, y° and 65°, are congruent.

  y = 65

__

The sum of the angles in a triangle is 180°.

  65° +65° +x° = 180°

  x° = 180° -130° = 50° . . . . . . subtract 130°

  x = 50

Directions on a box of 5 cups of wallpaper paste are to mix the contents with 4 qt of water. To mix a smaller batch using 1 cup of paste, how much water (in ounces) should be added? note that 1qt=32oz​

Answers

Step-by-step explanation:

For standard embossed we recommend 8 pints/4.5L for 4-5 rolls. For heavy embossed we recommend 7 pints/4L for 3-4 rolls.

hope that help you

A restaurant has two sizes of milkshakes, small and regular. The ratio of small milkshakes purchased to regular milkshakes purchased is 14 to 6. What percent of milkshakes purchased are small?

Answers

Answer:

70%

Step-by-step explanation:

the ratio is 14 to 6 so if you have 14 small milkshakes you would also have 6 regular milkshakes

to find a percentage we can buff up the ratio to add up to 100

14 + 6 = 20

100 / 20 = 5

that means we must multiply each side by 5

14 * 5 = 70

6 * 5 = 30

the ratio is now 70 to 30

you would have 70% of milkshakes that are small

Find the domain of the graphed function.

Answers

Answer:

A

Step-by-step explanation:

the domain is all the possible numbers that the x can be, so to find this from the graph you find the x-value of the leftmost point, which is -1 in this case, and the x-value of the rightmost point, which is 3. this means the range of values would be -1 <= x <= 3

1/4 plus 4/9 divided by -2/3
NO MIXED NUMBERS

Answers

Answer:

The answer is -.17 and that is rounded to the nearest hundredth.

Step-by-step explanation:

Let me know if you need it!

A gumball machine has 240 red gumballs. If the red gumballs are 50% of the total number of gumballs, how many gumballs are in the gumball machine?

Answers

Answer:

480 because 50% is just haf and half has to be equal to the 240 so you just add 240 to 240

Step-by-step explanation:

480
This is because 50% is half of the total. So to find the total, multiply 240 by 2.

4*5=5*4
Distributive property

Answers

expanded form true

Step-by-step explanation:

How many eighty-fours are in 672

Answers

672 / 84 = 8.

There are “8” 84’s in 672.

Liam cuts a 48-inch piece of string into two pieces. One piece is 12 inches longer than the other. If s represents the length of the shorter string, which diagram best represents this scenario?

Answers

The length of the shorter string is 18 inch while that of the longer string is 30 inch.

An equation is an expression used to show the relationship between two or more variables and numbers.

Let s represent the length of the shorter string.

One piece is 12 inches longer than the other

Length of longer string = s + 12

Since a 48-inch piece of string is cut into two pieces. Hence:

s + (s + 12) = 48

2s + 12 = 48

2s = 36

s = 18

Length of longer string = 18 + 12 = 30

The length of the shorter string is 18 inch while that of the longer string is 30 inch.

Find out more on equation at: https://brainly.com/question/2972832

Solve for X I will mark brainliest

Answers

ANSWER: x= 3/11

EXPLANATION:
5/6x-1/10x=2/15
= (25x-3x)/30=3/15 (FINDING COMMON DENOMINATORS)
= 22x/30=2/15
= 11x/15=2/15 (SIMPLIFYING THE NUMBERS)
= x=2/15*15/11 (MOVING THE NUMBERS) (11/15 will be 15/11 when it is moved to the other side)
= x=30/165
= x= 2/11 (SIMPLIFYING)

Hope it helps!

a shape is made of 12 right triangles of equal size each right triangle has a base of 4 cm and a height of 5 cm what is the total area in square centimeter of the shape

Answers

Answer:

Step-by-step explanation:

The area  of a triangle is equal to half the product of its length (L) because of its height (h).

The base of the triangles is  

The height of the triangles is  

Then the area of one of the triangles is:

The figure is formed by 12 equal triangles, then the area of the figure  is:

please help ill mark brainliest​

Answers

Answer:

x=28

Step-by-step explanation:

Yep me pls thanks you so much

Answers

Answer:

32

Step-by-step explanation:

To solve, simply put 4 in place of x. 8 times 4 is 32

The price of a refrigerator is 2,199.99 for an 18 month loan. If a $300 down payment has been made, what is the monthly payment?

$122.22
$131.92
$105.55
$105.56​

Answers

Answer:

This is verry easy! Is 105.56,do u need expabation?

May someone help me with this please?

Answers

Answer:

the first one

Step-by-step explanation:

plz give brainliest

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided
What is the expression in factored form?

2x^2 + 16x + 24

Answers

Solution : 2(+2)(+6)

Explanation : First, look for the common factor; use the sum-product pattern, then for the common factor from the two pairs, lastly, rewrite in factored form.

6x +16 >=51 kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Answers

Answer:

5.83333333

Step-by-step explanation:

6x + 16 = 51 (If that is what you actually intended to put)

6x + 16 - 16 = 51 -16

6x/6 = 35/6

x=5.83333333

Does any know how to do paragraph proofs?

Answers

Answer:

A good paragraph should contain at least the following four elements: Transition, Topic sentence, specific Evidence and analysis, and a Brief wrap-up sentence (also known as a warrant) –TTEB!

Step-by-step explanation:

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