Question

A rectangular prism and a cylinder both have a height of 8 m, and their cross-sectional areas are equal at every level parallel to their respective bases. A rectangular prism and a cylinder both have a height of 8 meters. The rectangle has base dimensions of 5 meters by x. The cylinder has a radius of 3 meters. Find the volume of the prism.

Answer 1

Answer:

The answer to all of the question is

1)40x

2)72

3)5.7

Step-by-step explanation:

I just did it on edg.

Answer 2

Answer:

The volume of the prism is

$V=72\pi\ m^3$

Step-by-step explanation:

we know that

The volume of the prism is given by the formula

$V=LWh$ ----> equation A

The volume of the cylinder is given by the formula

$V=\pi r^{2}h$ ---> equation B

Remember that

If the height is the same and their cross-sectional areas are equal at every level parallel to their respective bases, then their volumes are equal

so

Find the volume of the cylinder

$V=\pi r^{2}h$

substitute the given values

$V=\pi (3)^{2}(8)$

$V=72\pi\ m^3$

therefore

The volume of the prism is

$V=72\pi\ m^3$