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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.

You are building a wooden box to store your sports gear. Based on the dimensions provided-example-1
User JonEasy
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1 Answer

11 votes
11 votes

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.

User El Marcel
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