Question

What is the volume of the following prism?

A prism which has a right triangle for the base and a height of 3 feet. The legs of the right triangle are 3 feet and 4 feet.

A.
60 ft³


B.
18 ft³


C.
30 ft³

D.
36 ft³

Answer 1

The formula of the volume of a prism:

`V=BH`

`B` - the area of a base

`H` - the height

Calculate the area of the base:

`B=(3\cdot4)/(2)=6\ ft^2`

Calculate the volume of the prism:

`V=6\cdot3=18\ ft^3`

Answer: B. 18 ft³

Answer 2

18 cubic feet because the triangle's area is (3x4)/2 and then multiply that by the height, 3, to get 18 cubic feet:)