Question

Find the volume of the given prism. Round to the nearest tenth if necessary.

Answer 1

Given:

The base of the prism is a right triangle with legs 1 m and 2 m.

The height of the prism is 17 m.

To find:

The volume of the given prism.

Solution:

The area of a triangle is:

$Area=\dfrac{1}{2}\times base\times height$

So, the area of base of the prism is:

$Area=\dfrac{1}{2}\times 1\times 2$

$Area=1$

Now, the volume of the prism is:

$V=Bh$

Where, B is the base area and h is the height of the prism.

Substituting $B=1,h=17$, we get

$V=(1)(17)$

$V=17$

The volume of the prism is 17 cubic m. Therefore, the correct option is (d).