A holiday ornament in the shape of a square pyramid has the following dimensions: 2.75 x 2.75 x 2.75 in. What is the approximate volume of the ornament? Round your answer to the nearest hundredth.

Answer 1

To find the volume of the square pyramid ornament, we can use the formula for the volume of a pyramid:

Volume = (1/3) * base area * height

Since the base of the square pyramid is a square, we can find the base area by squaring one of the side lengths:

Base area = 2.75 * 2.75 = 7.5625 square inches

Now we can plug in the values into the formula:

Volume = (1/3) * 7.5625 * 2.75
Volume = (1/3) * 20.796875
Volume ≈ 6.93 cubic inches

Therefore, the approximate volume of the holiday ornament in the shape of a square pyramid is 6.93 cubic inches.