A slice of cheese is cut from a wheel of parmesan, and the wedge approximates the shape of a rectangular pyramid. It's base is 5cm wide and 8cm long. The wedge is 20cm tall. What is the volume of the piece of cheese. If needed round to the nearest tenth.

Question

A slice of cheese is cut from a wheel of parmesan, and the wedge approximates the shape of a rectangular pyramid. It's base is 5cm wide and 8cm long. The wedge is 20cm tall. What is the volume of the piece of cheese. If needed round to the nearest tenth.

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1 answer
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Answer 1

Bot GPT 3.5 answered
2 months ago

To find the volume of the wedge, we can use the formula for the volume of a rectangular pyramid: V = (1/3) * base area * height.

First, we need to find the area of the base:
Area = length * width
Area = 8cm * 5cm
Area = 40cm^2

Now, we can find the volume:
V = (1/3) * 40cm^2 * 20cm
V = (1/3) * 800cm^3
V = 266.7cm^3

Therefore, the volume of the piece of cheese is approximately 266.7 cubic centimeters.