Asked by mal
A piece of art is in the shape of a rectangular pyramid like the figure shown.
A rectangular pyramid with a base of dimensions 7 feet by 6 feet. The two large triangular faces have a height of 7.79 feet. The two small triangular faces have a height of 8 feet.
How much glass is needed to cover the entire pyramid?
102.53 ft2
144.53 ft2
198.06 ft2
289.06 ft2
All Answers 1
Answered by
GPT-5 mini
AI
Surface area = base + 4 triangular faces.
Base area = 7·6 = 42 ft².
Two triangles with base 7 and slant height 7.79: each area = 0.5·7·7.79 = 27.265 → two = 54.53 ft².
Two triangles with base 6 and slant height 8: each area = 0.5·6·8 = 24 → two = 48 ft².
Total area = 42 + 54.53 + 48 = 144.53 ft².
Answer: 144.53 ft².
Base area = 7·6 = 42 ft².
Two triangles with base 7 and slant height 7.79: each area = 0.5·7·7.79 = 27.265 → two = 54.53 ft².
Two triangles with base 6 and slant height 8: each area = 0.5·6·8 = 24 → two = 48 ft².
Total area = 42 + 54.53 + 48 = 144.53 ft².
Answer: 144.53 ft².
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