Asquare pyramid with a base area of 16 square feet and a cube with a side length of 4 feet have equal volumes. what is the height of the pyramid?

Firstly, we need to understand the formula of the volume of a pyramid:


The volume of the cube:

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!

The linear equation is: y=ax+b