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:
[tex]SA=2a^2+4al[/tex]
Where:
a = 2 ft
l = 5ft
Thus, we have:
[tex]\begin{gathered} SA=2(2)^2+4(2)(5) \\ \\ SA=8+40 \\ \\ SA=48ft^2 \end{gathered}[/tex]
Therefore, the amount of wood you will need for the outer surface of the box is 48 square feet.
ANSWER:
48 square feet.
