Chapter 0.10, Problem 16E

To determine

The surface area of the cabinet that is being painted.

Answer to Problem 16E

The surface area of the cabinet that is being painted is ${\text{A=66ft}}^{\text{2}}$ .

Explanation of Solution

Given :

l = 2 ft

w = 3 ft

h = 6 ft

Calculation:

Surface area of the box,

Surface area of rectangular prism:

  $\begin{array}{l}\text{A=2}\left[\text{wl+hl+hw}\right]\\ \text{here,}\\ \text{A=Surface}\text{area}\\ \text{h}\text{=}\text{height}\\ \text{w=}\text{width}\\ \text{l=}\text{length}\end{array}$

Now, the base surface is not to be painted.

So, the required surface area is

  $\begin{array}{l}\text{A=2}\left[\text{hl+hw}\right]\text{+wl}\\ \text{A=2}\left[\text{12+18}\right]\text{+6}\\ \text{A=60+6}\\ {\text{A=66ft}}^{\text{2}}\end{array}$

Therefore, the surface area of the cabinet being painted is ${\text{A=66ft}}^{\text{2}}$ .