Question

Find the length of the base of a square pyramid if the volume is 48 cubic inches and has a height of 9 inches. Use 3.14 for pi, and round your answer to the nearest hundredth. A. 4 inches B. 8 inches C. 16 inches D. 24 inches

Answer 1

A. 4 inches

Explanation:

To find the length of one side of the square base, you must know the height and the volume of the pyramid. To get the length, multiply the volume by three, divide that by the height, and then take that number and find its square root.

48 (volume) x 3 = 144

144 ÷ 9 (height) = 16

`√(16\\)` = 4 inches

The length of the base of a square pyramid if the volume is 48 inches is 4 inches.

Answer 2

The volume of a pyramid is equal to 1/3 multiplied by the base of the pyramid multiplied again by the height. In this case, the base of the pyramid is a square. Hence the area should be s^2. The volume now becomes V = 1/3 * s^2 * h = 1/3 * s^2 * 9 = 48. length,s is not equal to 4. Answer is A. 4 inches.