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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

 May 30, 2017

Best Answer 

 #1
avatar+9466 
+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

 May 30, 2017
 #1
avatar+9466 
+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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