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=(4\cdot8)/(2)=16\ cm^2`

Calculate the volume of the prism:

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

Answer: C. 96 cm³