Question

What is the volume of the prism given below?

Answer 1

C. 456 cubic units

Explanation:

The bases of this prism are two right trianles with legs 6 units and 8 units. The area of the base is

`A_(base)=(1)/(2)\cdot \text{leg}_1\cdot \text{leg}_2\\ \\A_(base)=(1)/(2)\cdot 6\cdot 8=24\ un^2.`

The volume of the prism is

`V=A_(base)\cdot H`

The height of the prism is 19 units, so

`V=24\cdot 19=456\ un^3`