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.
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
1 answer