Question

Find the volume of a pyramid with a square base, where the side length of the base is 14, point, 7, in 14.7 in 14.7 in and the height of the pyramid is 17, point, 2, in 17.2 in 17.2 in. round your answer to the nearest tenth of a cubic inch.

Answer 1

The volume of the pyramid with a square base of 14.7 inches and a height of 17.2 inches is approximately 1237.4 cubic inches when rounded to the nearest tenth.

Step-by-step explanation:

To find the volume of a pyramid with a square base, you can use the following formula:

V = (1/3) × (base area) × (height)

First, calculate the area of the square base:

Area = side ² = 14.7 in ²

Area = 216.09 in²

Next, use the pyramid volume formula:

V = (1/3) × 216.09 in² × 17.2 in

V = 1237.3676 in³

Round your answer to the nearest tenth:

V ≈ 1237.4 in³

Therefore, the volume of the pyramid is approximately 1237.4 cubic inches.