Question

Natalie is decorating the outside of a box in the shape of a right rectangular prism. The figure below shows a net for the box. What is the surface area of the box, in square feet, that Natalie decorates?

Answer 1

The figure consists of,

Two rectangles of dimension 6 ft by 8 ft.

Two rectangles of dimension 8 ft by 10 ft.

Two rectangles of dimension 10 ft by 6 ft.

Determine the surface area of box.

$\begin{gathered} A=2\times(6\cdot8)+2\times(8\cdot10)+2\times(10\cdot6) \\ =96+160+120 \\ =376 \end{gathered}$

Thus, surface area of the box is 376 square feet.