A holiday ornament in the shape of a square pyramid has the following dimensions: 2.75×2.75×2.75in. what is the approximate volume of the ornament? Round your answer to the nearest hundredth.
To find the volume of a square pyramid, you can use the formula:
V = (1/3) * base area * height
First, calculate the base area of the square pyramid:
Base area = length * width = 2.75 * 2.75 = 7.5625 square inches
Now, plug the base area and height into the formula:
V = (1/3) * 7.5625 * 2.75
V ≈ (1/3) * 20.7969
V ≈ 6.9323 cubic inches
Therefore, the approximate volume of the ornament is 6.93 cubic inches.