How do you calculate the height of a square pyramid with a volume of 32 cubic feet and a base length of 4 feet?

To determine the height of a square pyramid, you can use the formula for the volume of a pyramid:

Volume = (1/3) × Base Area × Height

For a square pyramid, the base area can be calculated as follows:

Base Area = Base Length × Base Length

Given that the base length is 4 feet, we can calculate the base area:

Base Area = 4 ft × 4 ft = 16 ft²

Now, we can substitute the known values into the volume formula:

32 ft³ = (1/3) × 16 ft² × Height

To find the height, we need to rearrange the formula:

Height = (Volume × 3) / Base Area

Substituting the values we have:

Height = (32 ft³ × 3) / 16 ft²

Height = 96 ft³ / 16 ft²

Height = 6 ft

Therefore, the height of the square pyramid is 6 feet.