a regular pyramid has a height of 12 cm and a square base. if the volume of the pyramid is 256 cubic centimeters, how many centimeters are in the length of one side of the base
volume of a pyramid = (1/3)(area of base)(height)
Plug in the information from the problem...
256 cm3 = (1/3)(area of square base)(12 cm)
256 cm3 = (area of square base)(4 cm) Divide both sides of thie equation by 4 cm.
64 cm2 = (area of square base)
and...
area of square = (side length)2
64 cm2 = (side length)2 Take the square root of both sides.
8 cm = side length
volume of a pyramid = (1/3)(area of base)(height)
Plug in the information from the problem...
256 cm3 = (1/3)(area of square base)(12 cm)
256 cm3 = (area of square base)(4 cm) Divide both sides of thie equation by 4 cm.
64 cm2 = (area of square base)
and...
area of square = (side length)2
64 cm2 = (side length)2 Take the square root of both sides.
8 cm = side length