Question

What is the volume of the prism below?

Answer 1

ANSWER

D.

$140 {units}^{3}$

EXPLANATION

The volume of a prism is given by:

$Volume = crossectional \: area \times vertical \: height$

The cross-section of the prism is a triangle.

The area of the cross-section

$= \frac{1}{2} bh$

$= \frac{1}{2} \times 5 \times 7$

The height is 8 units.

The volume of the prism

$= \frac{1}{2} \times 5 \times 7 \times 8$

$= 140 {units}^{3}$