Question

You are building a wooden box to store your sports gear. Based on the dimensions provided below, how much wood will you need for the outer surface of the box?Rectangle Length: 5 ft.Rectangle Width: 2 ft.Rectangle Height: 2 ft.

Answer 1

Given:

Length = 5 ft

Width = 2 ft

Height = 2 ft

Let's find the amount you will need for the outer surface of the box.

Using the net image shown, we can see the wooden box has the shape of a square prism.

Thus, we are to find the surface area of the prism.

Thus, we have:

$SA=2a^2+4al$

Where:

a = 2 ft

l = 5ft

Thus, we have:

$\begin{gathered} SA=2(2)^2+4(2)(5) \\ \\ SA=8+40 \\ \\ SA=48ft^2 \end{gathered}$

Therefore, the amount of wood you will need for the outer surface of the box is 48 square feet.

ANSWER:

48 square feet.