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.(1 point) Responses 20.80 in.3 20.80 in. cubed 24.47 in.3 24.47 in. cubed 6.93 in.3 6.93 in. cubed 9.01 in.3
The volume of a square pyramid is given by the formula V = 1/3 * base area * height.
First, we need to calculate the base area of the square pyramid:
base area = 2.75 in. * 2.75 in. = 7.5625 in.^2
Now, plug in the values into the volume formula:
V = 1/3 * 7.5625 in.^2 * 2.75 in.
V ≈ 6.933 in.^3
Therefore, the approximate volume of the ornament is 6.93 in.^3.