Question

What is the volume of the following prism?

A prism which has a right triangle for the base and a height of 6 centimeters. The legs of the right triangle are 4 cm and 8 cm.

A. 72 cm³
B. 84 cm³
C. 96 cm³
D. 80 cm³

Answer 1

The formula of a volume of a prism:

$V=BH$

$B$ - the area of a base

$H$ - the height

Calculate the area of a base:

$B=\dfrac{4\cdot8}{2}=16\ cm^2$

Calculate the volume of the prism:

$V=16\cdot6=96\ cm^3$

Answer: C. 96 cm³