A holiday ornament in the shape of a square pyramid has the following dimensions 2.75 X 2.75 X 2.75 inches.What is the approximate volume of the ornament? round your answer to the nearest hundredth
A. 20.80 in^3
B. 9.01 in^3
C. 6.93 in^3
D. 24.47 in^3
To calculate the volume of a square pyramid, you use the formula V = (1/3) * base area * height.
First, calculate the base area of the square pyramid:
Base area = length * width
Base area = 2.75 * 2.75
Base area = 7.5625 square inches
Now, calculate the volume:
V = (1/3) * 7.5625 * 2.75
V = 6.9271 cubic inches
Rounded to the nearest hundredth, the volume of the ornament is 6.93 in^3.
Therefore, the answer is C. 6.93 in^3.