Chapter 12.5, Problem 30PPS

To determine

Tocalculate : The volume of the model.

Answer to Problem 30PPS

$2i{n}^3$

Explanation of Solution

Given information : A model having two congruent rectangular pyramids. The base of each pyramid is $l=1in$ by $w=1\frac{1}{2}in$ and height is $2in$ .

Formula used : The volume of the rectangular pyramid is $\frac{lwh}{3}$

Calculation : Calculate the volume of the model having two congruent rectangular pyramids.

$\begin{array}{l}V=\frac{lwh}{3}+\frac{lwh}{3}\\ V=\frac{2lwh}{3}\end{array}$

Plug $l=1in$

$w=1.5in$ and $h=2in$ .

$\begin{array}{l}V=\frac{2\times 1\times 1.5\times 2}{3}\\ V=2i{n}^3\end{array}$

The knowledge of volume is important because it gives us an estimation of the material that will be used.