Chapter 14, Problem 20CPE

To determine

Tofind: the total area and volume of pyramid.

Answer to Problem 20CPE

The total area of pyramid is $216{\text{cm}}^2$ and the volume of pyramid is $216{\text{cm}}^3$ .

Explanation of Solution

Given information:

The edge of rectangular pyramid is $6\text{cm}$ .

Calculation: to find the total area of the pyramid, add the lateral area and double of base area,

$\begin{array}{l}T.A.=L.A.+2B\\ T.A.=\left(6+6+6+6\right)6+2\left(6·6\right)\\ T.A.=144+72\text{ [add and multiply]}\\ T.A.=216{\text{cm}}^2\text{ [add]}\end{array}$

To find the volume of pyramid, multiply the base area by height,

$\begin{array}{l}v=Bh\\ v=\left(36\right)\left(6\right)\text{ [substitute]}\\ v=216{\text{cm}}^3\text{ [multiply]}\end{array}$