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? (1 point)
Item 6
Item 7
■cm3
Item 6
Item 7
■cm3
Answers
GPT 3.5
The volume of a rectangular pyramid is given by the formula V = (1/3) * base area * height.
First, calculate the area of the base:
Base area = length * width
Base area = 9 cm * 4 cm
Base area = 36 cm²
Now, plug in the values into the formula for volume:
V = (1/3) * 36 cm² * 21 cm
V = (1/3) * 756 cm³
V = 252 cm³
Therefore, the volume of the piece of cheese is 252 cm³.
First, calculate the area of the base:
Base area = length * width
Base area = 9 cm * 4 cm
Base area = 36 cm²
Now, plug in the values into the formula for volume:
V = (1/3) * 36 cm² * 21 cm
V = (1/3) * 756 cm³
V = 252 cm³
Therefore, the volume of the piece of cheese is 252 cm³.