Question

What is the volume of the triangular prism? Round to the nearest tenth.

A. 118.6in cubed
B. 748.8in cubed
C. 1,085.6in cubed
D. 1,184.6in cubed

Answer 1

`V=1,185.6\ in^3`

Explanation:

we know that

The volume of the triangular prism is equal to

`V=BL`

where

B is the area of the triangular face

L is the length of the prism

we have that

`B=(1)/(2)(b)(h)`

substitute the given values

`B=(1)/(2)(12)(10.4)=62.4\ in^2`

`L=19\ in`

substitute in the formula of volume

`V=62.4(19)=1,185.6\ in^3`