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

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

Answer 2

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:

$B=\dfrac{3\cdot4}{2}=6\ ft^2$

Calculate the volume of the prism:

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

Answer: B. 18 ft³