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# pyramids

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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
+4777
+2

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

hectictar  May 30, 2017
Sort:

#1
+4777
+2

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

hectictar  May 30, 2017

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