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
24.47 in.3
6.93 in.3
9.01 in.3
20.80 in.3
The volume of a square pyramid is calculated using the formula V = (1/3) * b^2 * h, where b is the base length and h is the height.
In this case, the base length (b) is 2.75 inches and the height (h) is also 2.75 inches.
V = (1/3) * (2.75)^2 * 2.75
V = (1/3) * 7.5625 * 2.75
V = 2.52083 * 2.75
V = 6.927 in.^3
So, the approximate volume of the ornament is 6.93 in.^3.
Therefore, the correct response is:
6.93 in.^3