1 Answer

Richlewis · Answer 1 · 2021-03-28T01:02:03+0000

Answer:

The volume of the shipping box is
$V=27\ in^3$

Explanation:

see the attached figure to better understand the problem

The volume of the triangular prism is equal to

V=BH

where

B is the area of the triangular base

H is the height of the prism

In this problem we have

$H=9\ in$

Find the area of the triangular base B

B=(1)/(2)bh

we have

$b=3\ in\\h=2\ in$

substitute

$B=(1)/(2)(3)(2)=3\ in^2$

Find the volume of the triangular prism

V=BH

we have

$B=3\ in^2$

$H=9\ in$

substitute

$V=(3)(9)=27\ in^3$

Please log in or register to add a comment.