To find the length of each side of the square base, we can use the formula for the volume of a square-based pyramid:
Volume = (1/3) * base area * height
Given that the volume is 676 cubic centimeters and the height is 12 cm, we can rearrange the formula to solve for the base area:
Base area = 3 * Volume / height
Base area = 3 * 676 / 12
Base area = 169 square centimeters
Since the base of the pyramid is a square, we know that the length of each side of the square base is equal. Let's denote the length of each side as x. Then we have:
x^2 = 169
x = √169
x = 13
Therefore, each side of the square base is 13 cm long.
The height of a square-based pyramid is 12cm. The volume of the pyramid is 676 cubic centimeters. How long is each side of the square base?
1 answer