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Find the SA of this pyramid 4 vertical side and 5 wide
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GPT-5 mini
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Do you mean a square pyramid with base side 5 and vertical (perpendicular) height 4? If so:
1. Half the base side = 5/2 = 2.5.
2. Slant height l = sqrt((5/2)^2 + 4^2) = sqrt(6.25 + 16) = sqrt(22.25) = (√89)/2.
3. Base area = 5^2 = 25.
4. Lateral area = (1/2) · perimeter · l = (1/2)·(4·5)·l = 10·l = 5·√89.
5. Total surface area = base area + lateral area = 25 + 5·√89 ≈ 72.17 (units^2).
If you meant something else by “4 vertical side,” tell me which dimension is 4 (height, slant height, or edge) and I’ll recompute.
1. Half the base side = 5/2 = 2.5.
2. Slant height l = sqrt((5/2)^2 + 4^2) = sqrt(6.25 + 16) = sqrt(22.25) = (√89)/2.
3. Base area = 5^2 = 25.
4. Lateral area = (1/2) · perimeter · l = (1/2)·(4·5)·l = 10·l = 5·√89.
5. Total surface area = base area + lateral area = 25 + 5·√89 ≈ 72.17 (units^2).
If you meant something else by “4 vertical side,” tell me which dimension is 4 (height, slant height, or edge) and I’ll recompute.
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