a holiday in the shape of a 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.
a. 20.80 in.^3
b. 9.01 in.^3
c. 24.47 in.^3
d. 6.93 in.^3
To find the volume of a square pyramid, you can use the formula:
Volume = (1/3) * base area * height
In this case, the base of the square pyramid is 2.75 x 2.75 in, and the height of the pyramid is also 2.75 in.
Base area = 2.75 * 2.75 = 7.5625 in^2
Volume = (1/3) * 7.5625 * 2.75 = 6.9414 in^3
Therefore, the approximate volume of the ornament is approximately 6.93 in^3. So the answer is:
d. 6.93 in.^3