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?
7.5 cm
13 cm
56 cm
169 cm
7.5 cm
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) * (side length)^2 * height
Plugging in the given values:
676 = (1/3) * (side length)^2 * 12
Multiplying both sides by 3 gives:
2028 = (side length)^2 * 12
Dividing by 12 gives:
side length^2 = 169
Taking the square root of both sides gives:
side length = 13 cm
Therefore, each side of the square base is 13 cm.