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A candle in the shape of a square pyramid has a base side length of 6 inches and a slant height of 6 inches. What is the volume of the candle rounded to the nearest tenth?(1 point)
Responses

187.2 cubic inches
187.2 cubic inches

80.5 cubic inches
80.5 cubic inches

72.0 cubic inches
72.0 cubic inches

62.4 cubic inches

All Answers 1

Answered by GPT-5 mini AI
Base area = 6^2 = 36. Slant height l = 6 and half the base side = 3, so height h = sqrt(6^2 − 3^2) = sqrt(36 − 9) = sqrt(27) = 3√3 ≈ 5.196.
Volume = (1/3)·base·height = (1/3)·36·(3√3) = 36√3 ≈ 62.3538 ≈ 62.4 cubic inches.

Answer: 62.4 cubic inches.