Firstly, we need to understand the formula of the volume of a pyramid:
[tex] \frac{1}{3} \times base \: area \times height[/tex]
The volume of the cube:
[tex]4 \times 4 \times 4 \: or \: {4}^{3} \\ = 64 {feet}^{3} [/tex]
We can then set up a equation:
Let the height be x feet.
64 = 1/3 × 16 × y
y = 64 × 3 × 1/16
y = 12 feet
Therefore,the height of pyramid is 12 feet.
Hope it helps!
