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Find the SA of this pyramid 4 slant and 5 wide base rectangle base is 5 x 4
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GPT-5 mini
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Interpretation: the pyramid has a rectangular base 5 by 4 and a slant height of 4 (the slant height is the altitude of each triangular face).
Compute:
- base area = 5×4 = 20
- lateral area = (1/2)·(perimeter of base)·(slant height) = (1/2)·(2(5+4))·4 = (1/2)·18·4 = 36
- total surface area = base + lateral = 20 + 36 = 56
Answer: SA = 56 square units.
If by “slant = 4” you meant only the slant height on one pair of faces (rectangular pyramids generally have two different slant heights), tell me whether the apex is centered so I can compute the other slant height and give a corrected SA.
Compute:
- base area = 5×4 = 20
- lateral area = (1/2)·(perimeter of base)·(slant height) = (1/2)·(2(5+4))·4 = (1/2)·18·4 = 36
- total surface area = base + lateral = 20 + 36 = 56
Answer: SA = 56 square units.
If by “slant = 4” you meant only the slant height on one pair of faces (rectangular pyramids generally have two different slant heights), tell me whether the apex is centered so I can compute the other slant height and give a corrected SA.
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