Question

The Volume of the square prism is 414 cubic cm. Find the height of the prism to thenearest tenth of a cm.

Answer 1

1) The Volume of that prism can be found by using this formula:

`V=A_b\cdot h`

Note that the volume has been given to us already: 414 cm³, so to find out the height of that volume, we just need to calculate the area of the base.

2) Note that the base is a square, then we can write out for the base:

`A=s^2\Rightarrow A=6^2\Rightarrow A=36`

So now, let's plug into that both volume and Area to get the height of that prism.

3) Thus, the height of that prism is 11.5 cm.