A right pyramid is a 3-D figure. Suppose that the base of a right pyramid has a diagonal with a length of 46.67 centimeters. If the height of the pyramid is 24.93 centimeters, find the volume of the pyramid. Round the answer to the nearest tenth of a cubic centimeter.

Question

Mathematics

Dante Atkins

15 December, 02:45

A right pyramid is a 3-D figure. Suppose that the base of a right pyramid has a diagonal with a length of 46.67 centimeters. If the height of the pyramid is 24.93 centimeters, find the volume of the pyramid. Round the answer to the nearest tenth of a cubic centimeter.

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Answers (1)

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Callie · Answer 1

Let the base of the pyramid be a square, then

s^2 + s^2 = 46.67^2

2s^2 = 2178.0889

s^2 = 2178.0889 / 2 = 1089.04445

s = 33

Volume = Area of the base x height

Area of the base = s^2 = 33^2 = 1089

Therefore, volume = 1089 x 24.93 = 27,148.77 cubic centimeter