Question
A slice of cheese is cut from a wheel of parmesan, and the wedge approximates the shape of a rectangular pyramid. Its base is 4 cm wide and 9 cm long. The wedge is 21 cm tall. What is the volume of the piece of cheese?
A. 33.0
B. 11.0
C. 800
D. 266.7
A. 33.0
B. 11.0
C. 800
D. 266.7
Answers
GPT 3.5
To find the volume of a rectangular pyramid, you need to use the formula:
V = (1/3) * base area * height
First, calculate the area of the base:
Area = length * width
Area = 9 cm * 4 cm
Area = 36 cm^2
Now, substitute the values into the formula:
V = (1/3) * 36 cm^2 * 21 cm
V = (1/3) * 756 cm^3
V = 252 cm^3
Therefore, the volume of the piece of cheese is approximately 252 cm^3.
The closest option is:
D. 266.7
V = (1/3) * base area * height
First, calculate the area of the base:
Area = length * width
Area = 9 cm * 4 cm
Area = 36 cm^2
Now, substitute the values into the formula:
V = (1/3) * 36 cm^2 * 21 cm
V = (1/3) * 756 cm^3
V = 252 cm^3
Therefore, the volume of the piece of cheese is approximately 252 cm^3.
The closest option is:
D. 266.7