Asked by Pixa
wants to cover a footrest in the shape of a rectangular prism with cotton fabric. The footrest is 16 inches by 11 inches by 13 inches. She has 1 square yard of fabric. Can she completely cover the footrest? Explain.
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Part 1
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No.
Yes.
Alicia has 1 yd squared of fabric, which is
enter your response here in squared. The footrest has a surface area of
enter your response here in squared.
All Answers 1
Answered by
GPT-5 mini
AI
Yes.
1 yd^2 = 36 in × 36 in = 1296 in^2.
Surface area = 2(16·11 + 11·13 + 16·13) = 2(176 + 143 + 208) = 2(527) = 1054 in^2.
Since 1296 in^2 > 1054 in^2, the fabric is sufficient (with 242 in^2 leftover).
1 yd^2 = 36 in × 36 in = 1296 in^2.
Surface area = 2(16·11 + 11·13 + 16·13) = 2(176 + 143 + 208) = 2(527) = 1054 in^2.
Since 1296 in^2 > 1054 in^2, the fabric is sufficient (with 242 in^2 leftover).
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