Chapter 0.10, Problem 14E

To determine

The amount of fabric needed.

Answer to Problem 14E

The amount of fabric needed is ${\text{A=296in}}^{\text{2}}$

Explanation of Solution

Given :

l = 14in

w = 5 in

h = 4 in

Calculation:

For covering box, we need to calculate the surface area of the box.

Surface area of rectangular prism:

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

So,

Surface area of rectangular prism:

  $\begin{array}{l}\text{A=2}\left[\text{wl+hl+hw}\right]\\ \text{A=2}\left[\text{70+56+20}\right]\\ \text{A=2}\left[\text{146}\right]\\ {\text{A=296in}}^{\text{2}}\end{array}$

Therefore, the required amount of fabric needed to cover the box is ${\text{A=296in}}^{\text{2}}$ .