Question

Elise wants to build a wooden box to store her art supplies. She has decided that the length of the box will be 12 in
, the width will be 10 in
and the height will be 8 in
.

What is the minimum amount of wood Elise will need to build her box?

Responses
A
960 in squared
B
592 in squared
C
296 in squared
D

Answer 1

To determine the minimum amount of wood Elise will need to build her box, we need to calculate the surface area of the box. The surface area \( S \) of a rectangular box can be calculated with the formula:

\[
S = 2lw + 2lh + 2wh
\]

where:
- \( l \) is the length
- \( w \) is the width
- \( h \) is the height

Given:
- Length \( l = 12 \) in
- Width \( w = 10 \) in
- Height \( h = 8 \) in

Let's plug the values into the formula:

1. Calculate each term:
- \( 2lw = 2 \times 12 \times 10 = 240 \) in²
- \( 2lh = 2 \times 12 \times 8 = 192 \) in²
- \( 2wh = 2 \times 10 \times 8 = 160 \) in²

2. Sum them up:
\[
S = 240 + 192 + 160 = 592 \text{ in²}
\]

Thus, the minimum amount of wood Elise will need to build her box is **592 in²**.

The correct response is **B: 592 in squared**.