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 6.93 in.3 6.93 in. cubed 24.47 in.3 24.47 in. cubed 9.01 in.3 9.01 in. cubed 20.80 in.3
The volume of a square pyramid can be calculated using the formula V = 1/3 * base area * height.
In this case, the base of the square pyramid is a square with sides of length 2.75 in, and the height is also 2.75 in.
The base area of the square pyramid is 2.75 * 2.75 = 7.5625 in^2.
So, the volume of the square pyramid ornament is V = 1/3 * 7.5625 * 2.75 = 6.8542 in^3.
Rounded to the nearest hundredth, the approximate volume of the ornament is 6.93 in^3.
Therefore, the correct answer is 6.93 in^3.