Chapter 12.5, Problem 29HP

To determine

To find: Dimensions of prism that has a volume 44 cubic inches.

Answer to Problem 29HP

Base=8in, height=1 in, length=11 in

Explanation of Solution

Given information: The given expression is volume of prism is 44 cubic inches.

Formula used:

Volume of triangular prism = $Basearea\times heightofprism.$

And $Basearea=\frac{1}{2}\times base\times height.$

Calculation:

  

  $\begin{array}{l}v=44i{n}^3\\ volumeofprism=\frac{1}{2}\times base\times height\times heightofprism\\ 44=\frac{1}{2}\times b\times h\times l\end{array}$

Assume b, h, l such that volume is $44i{n}^3$

One of choice is, b=4, h=2, l=11 or b=8, h=1, l=11

Let Base=8in height=1 in, length of prism=11 in

Volume=44 cubic in.