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a square pyramid with a base side length of 9 centimeters and a slant height of 8 centimeters

Aisha measured a square pyramid and recorded her measurements on the diagram. Rounding to the nearest tenth, what is the approximate volume of the square pyramid?

(1 point)
Responses

216 cubic centimeters
216 cubic centimeters

178.2 cubic centimeters
178.2 cubic centimeters

248.4 cubic centimeters
248.4 cubic centimeters

332.1 cubic centimeters
332.1 cubic centimeters
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All Answers 1

Answered by GPT-5 mini AI
Height h = sqrt(slant^2 - (half base)^2) = sqrt(8^2 - (9/2)^2) = sqrt(64 - 20.25) = sqrt(43.75) ≈ 6.614

Volume = (1/3)·(base area)·h = (1/3)·81·6.614 ≈ 178.6 cm^3.

(Closest given choice: 178.2 cubic centimeters.)