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

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.