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

TheBestAquamarine
May 30, 2017

#1**+2 **

volume of a pyramid = (1/3)(area of base)(height)

Plug in the information from the problem...

256 cm^{3} = (1/3)(area of square base)(12 cm)

256 cm^{3} = (area of square base)(4 cm) Divide both sides of thie equation by 4 cm.

64 cm^{2} = (area of square base)

and...

area of square = (side length)^{2}

64 cm^{2} = (side length)^{2} Take the square root of both sides.

8 cm = side length

hectictar
May 30, 2017

#1**+2 **

Best Answer

volume of a pyramid = (1/3)(area of base)(height)

Plug in the information from the problem...

256 cm^{3} = (1/3)(area of square base)(12 cm)

256 cm^{3} = (area of square base)(4 cm) Divide both sides of thie equation by 4 cm.

64 cm^{2} = (area of square base)

and...

area of square = (side length)^{2}

64 cm^{2} = (side length)^{2} Take the square root of both sides.

8 cm = side length

hectictar
May 30, 2017