Answer:
height of each pyramid must be 3h units
Explanation:
As we know that the volume of the cube is same as that of volume of square pyramid
so we have volume of the cube is given as
[tex]V = h^3[/tex]
now if the base area of pyramid and the cube is same
so we will have
[tex]V_{pyramid} = \frac{1}{3} Base\: Area \times height[/tex]
[tex]V_{pyramid} = \frac{1}{3} h^2 \times y[/tex]
now since both have same volume
[tex]\frac{1}{3}h^2 y = h^3[/tex]
[tex]y = 3h[/tex]
height of each pyramid must be 3h units
