Two brothers build a pyramid-shaped fort. If the fort is 8 feet wide at its base, what expression could be used to calculate the height of the fort?

Answer: An expression for the height is: H = (3/64)V

To start with, we will assume that it is a square pyramid, meaning all the sides of the base are 8 feet wide.

Now, we need the formula for the volume of a square pyramid.

V = BH/3

We know the area of the base, it is 8 x 8 = 64, so we can input that.

V = 64H/3   We can multiply by 3/64 to find an expression for the height of the fort.

(3/64)V = H