Answer:
Therefore, the length of one side of the square base of the pyramid is 3 inches.
Explanation:
The formula for the volume of a square pyramid is:
V = (1/3) * base^2 * h
where "base" is the length of one side of the square base of the pyramid, and "h" is the height of the pyramid.
We are given that the height of the pyramid is 8 inches, and the volume is 24 in.³. Substituting these values into the formula, we get:
24 = (1/3) * base^2 * 8
Multiplying both sides by 3 gives:
72 = base^2 * 8
Dividing both sides by 8 gives:
9 = base^2
Taking the square root of both sides, we get:
base = 3
Therefore, the length of one side of the square base of the pyramid is 3 inches.