Mathematics College

A 15 meter long cylinder with a diameter of 7 meters has a square prism with a base length of 3 meters hole going all the way through the center of it as shown in the diagram (not to scale).

Find the volume of the composite shape rounding to the nearest cubic meter.

Hint: while working the problem carry figures at least three decimal places, then round to the nearest cubic meter only once at the very end.

Answers

Answer 1

The square prism's volume is 135 meter

Explain about the volume of the composite shape?

Either the total number of smaller prisms that make up the composite shape, or its volume. the distinction between a larger prism and a smaller prism that was taken out of it.

A composite shape is a shape that was produced from two or more fundamental shapes. Composite shapes are also referred to as compound and complex shapes frequently.

Any shape that is constructed from two or more geometric shapes is referred to as a composite or compound shape. The triangle and square in the following shape are joined together. The square and the rectangle that make up the blue shape. There are two triangles making up the green shape.

Detailed explanation:

The parameters listed are;

L = 15 meters is the cylinder's length.

D = 7 meters is the cylinder's diameter.

B = 3 meters is the square prism's base length.

Consequently, we have;

The square prism's volume is

= B² x  L

= 3² x 15

= 9 x 15

= 135 meter

To learn more about volume of the composite shape refer to:

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Related Questions

Solve for m:-
2(m-5) = m-3

Answers

The value of m in the given equation will be 7.

Steps to solve the linear equation :

⇒2(m-5) = m-3

Bring RHS (Right hand side) terms to LHS(left hand side) of the equation,

⇒2(m-5) - (m-3) = 0

Now open the brackets,

⇒2m - 10 - m + 3  = 0

Now solve for m,

⇒2m - m - 10 + 3 = 0

⇒m - 10 + 3 = 0

⇒m - 7 = 0

Taking 7 to the RHS of the equation,

⇒m = 7

∴ The value of m is 7

Learn more about Linear equation here,

https://brainly.com/question/22122594

To solve for m in the equation 2(m-5) = m-3, we can start by distributing the 2 on the left side of the equation:

2m - 10 = m - 3

Next, we can add 3 to both sides of the equation to get:

2m - 10 + 3 = m

This simplifies to:

2m - 7 = m

Now we can subtract m from both sides:

2m - m - 7 = 0

This simplifies to:

m - 7 = 0

Finally, we can add 7 to both sides to solve for m:

m = 7

So the solution for m is 7.

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