Question

Tommy and Cole are planning to build a wooden toy chest. If the dimensions of the toy chest are 17 inches long, 9 inches wide, and 11 inches tall, how much wood will they need?

Surface Area of a Rectangular Prism: 2lw + 2lh + 2wh (1 point)
Responses

37 square inches
37 square inches

878 square inches
878 square inches

504 square inches
504 square inches

1683 square inches

Answer 1

To find the amount of wood needed, we need to calculate the surface area of the rectangular prism (the toy chest) using the formula:

\[ \text{Surface Area} = 2lw + 2lh + 2wh \]

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

Given the dimensions:
- \( l = 17 \) inches
- \( w = 9 \) inches
- \( h = 11 \) inches

We can plug in the values into the formula:

1. Calculate each term:
- \( 2lw = 2 \times 17 \times 9 = 306 \)
- \( 2lh = 2 \times 17 \times 11 = 374 \)
- \( 2wh = 2 \times 9 \times 11 = 198 \)

2. Add these values together:
\[
\text{Surface Area} = 306 + 374 + 198 = 878 \text{ square inches}
\]

Therefore, Tommy and Cole will need **878 square inches** of wood for the toy chest.