Question
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
24.47 in. cubed
20.80 in.3
20.80 in. cubed
9.01 in.3
9.01 in. cubed
6.93 in.3
Responses
24.47 in.3
24.47 in. cubed
20.80 in.3
20.80 in. cubed
9.01 in.3
9.01 in. cubed
6.93 in.3
Answers
GPT 3.5
The formula for the volume of a square pyramid is V = (1/3)Bh, where B is the area of the base and h is the height of the pyramid.
In this case, the base is a square with sides of 2.75 inches, so the area of the base is 2.75 x 2.75 = 7.5625 square inches.
Plugging in the values, V = (1/3) x 7.5625 x 2.75 = 24.4725 cubic inches.
Rounded to the nearest hundredth, the volume of the ornament is approximately 24.47 in.³.
Therefore, the correct answer is:
24.47 in.³
In this case, the base is a square with sides of 2.75 inches, so the area of the base is 2.75 x 2.75 = 7.5625 square inches.
Plugging in the values, V = (1/3) x 7.5625 x 2.75 = 24.4725 cubic inches.
Rounded to the nearest hundredth, the volume of the ornament is approximately 24.47 in.³.
Therefore, the correct answer is:
24.47 in.³