Question

A regular pyramid has a height of 12 centimeters 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 its base

Answer 1

Let the length of one side of the base square be a cm.

The Volume of a pyramid is
`(1)/(3)*area_b_a_s_e *height`

the area of the base is a^2,

we apply the formula


`256= (1)/(3)*a^(2)*12`


`256= 4a^(2)`


`256= (2a)^(2)`


`2a= √(256)=16`

a=8 (cm)

Answer: 8 cm