To find the amount of wood needed for the toy chest, we can calculate the surface area using the formula for the surface area of a rectangular prism:
\[ \text{Surface Area} = 2lw + 2lh + 2wh \]
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.
Now we can substitute these values into the formula.
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Calculate \( 2lw \): \[ 2lw = 2 \times 17 \times 9 = 306 \text{ square inches} \]
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Calculate \( 2lh \): \[ 2lh = 2 \times 17 \times 11 = 374 \text{ square inches} \]
-
Calculate \( 2wh \): \[ 2wh = 2 \times 9 \times 11 = 198 \text{ square inches} \]
Now add these three areas together to find the total surface area:
\[ \text{Surface Area} = 306 + 374 + 198 = 878 \text{ square inches} \]
Thus, the amount of wood they will need is 878 square inches.
The correct response is:
878 square inches.