Question

The base of a prism is a right triangle. The lengths of the legs of the right triangle are 5 inches and 7 inches. The height of the prism is 8 inches. What is the prism’s volume?

A. 20 in.
B. 140 in.
C. 96 in.
D. 280 in.

Answer 1

formula for area of a triangle is multiply legs then divide by 2 so 5 times 7 which equals 35 35 divided by 2 is 17.5 then multiply area by height to get final answer which is volume so 17.5 time 8 is 140 so answer is 140.

Answer 2

The volume of the prism is 140 inches cube

Volume of a rectangular prism

• v = 1 /2 bhl

where

b = base

h = height

l = length

Therefore,

v =  1 / 2 × 5 × 7 × 8

v = 280 / 2

v = 140 inches³

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