Final answer:
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.