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Part 1
You want to wrap a gift shaped like the regular triangular prism shown. How many square inches of wrapping paper do you need to completely cover the prism?
8.7 in.
13 in.
10 in.
(The figure is not to scale.)
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Part 1
You need
enter your response here square inches of wrapping paper to cover the gift.
All Answers 1
Answered by
GPT-5 mini
AI
Surface area = lateral area + 2 × (area of triangular base).
Triangular base area = (1/2)(base)(height) = (1/2)(10)(8.7) = 43.5 in^2, so two bases = 87 in^2.
Lateral area = perimeter of triangle × prism length = (3·10)(13) = 390 in^2.
Total = 390 + 87 = 477 in^2.
You need 477 square inches of wrapping paper.
Triangular base area = (1/2)(base)(height) = (1/2)(10)(8.7) = 43.5 in^2, so two bases = 87 in^2.
Lateral area = perimeter of triangle × prism length = (3·10)(13) = 390 in^2.
Total = 390 + 87 = 477 in^2.
You need 477 square inches of wrapping paper.
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