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.
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.