Chapter 12.2, Problem 24PPS

To determine

Use the given lateral area to find the missing measure of the solid .

Answer to Problem 24PPS

h = 4 in.

Explanation of Solution

Given:

  

Formula Used:

The Lateral area L of solid is

L = Ph , where h is the height of the solid and P is the perimeter of a base.

Calculation:

The given solid has base as rectangle with length 5 in. and width 1 in.

Given :

Lateral area = $48i{n}^2$

Perimeter of the base = 2(length+width) = 2 ( 5 + 1 )= 12 in.

  $\begin{array}{l}L=Ph=12h=\mathrm{48...........}[given]\\ \Rightarrow 12h=48\\ \Rightarrow \frac{12h}{12}=\frac{48}{12}\mathrm{..................}[\text{divide each side by 12]}\\ \Rightarrow h=4in.\end{array}$