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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

Best Answer 

 #1
avatar+7155 
+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
 #1
avatar+7155 
+2
Best Answer

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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