A holiday ornament in the shape of a square pyramid has the following dimensions 2.75 * 2.75 * 2.75 in. What is the approximate volume of the ornament

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
6 months ago

The volume of a square pyramid can be calculated using the formula V = (1/3) * b * h, where b is the area of the base and h is the height of the pyramid.

In this case, the base of the square pyramid has sides of length 2.75 inches, so the area of the base would be 2.75 * 2.75 = 7.5625 square inches.

The height of the pyramid is also given as 2.75 inches.

Substituting these values into the formula, we get:

V = (1/3) * 7.5625 * 2.75 ≈ 6.58 cubic inches.

Therefore, the approximate volume of the ornament is 6.58 cubic inches.