Question

A rectangular pyramid has a volume of 32 cubic feet. Find one possible set of measurements

for the base area and height of the pyramid.

Answer 1

Ghe possible set of measurements for the base area and height are;

(96, 1)

(48, 2)

(32, 3)

(24, 4)

(16, 6)

(12, 8)

Explanation:

Formula for volume of a rectangular pyramid is;

V = ⅓Bh

Where;

B is area of base

h is height of pyramid

Thus, if volume is 32, then;

32 = ⅓Bh

Multiply both sides by 3 to get;

Bh = 96

Factors of 96 are; 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96

Thus, the possible set of measurements for the base area and height are;

(96, 1)

(48, 2)

(32, 3)

(24, 4)

(16, 6)

(12, 8)