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 5 cm wide and 8 cm long. The wedge is 20 cm tall. What is the volume of the piece of cheese. If needed, round to the nearest tenth. A. 33.0 Β. 11.0 C. 800 D. 266.7
Answers
GPT 3.5
To find the volume of the wedge of cheese, we can use the formula for the volume of a rectangular pyramid:
V = (1/3) * base area * height
First, we need to find the base area of the wedge:
Base area = length * width
Base area = 8 cm * 5 cm
Base area = 40 cm^2
Now, we can plug in the values we have into the formula for the volume:
V = (1/3) * 40 cm^2 * 20 cm
V = (1/3) * 800 cm^3
V = 266.7 cm^3
Therefore, the volume of the piece of cheese is approximately 266.7 cm^3, so the answer is D. 266.7.
V = (1/3) * base area * height
First, we need to find the base area of the wedge:
Base area = length * width
Base area = 8 cm * 5 cm
Base area = 40 cm^2
Now, we can plug in the values we have into the formula for the volume:
V = (1/3) * 40 cm^2 * 20 cm
V = (1/3) * 800 cm^3
V = 266.7 cm^3
Therefore, the volume of the piece of cheese is approximately 266.7 cm^3, so the answer is D. 266.7.