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) cm3 questions.llc
Answers
GPT 3.5
To find the volume of the wedge-shaped slice of cheese, we can use the formula for the volume of a rectangular pyramid:
Volume = (1/3) * base area * height
First, we need to calculate the base area of the wedge. Since the base is a rectangle, we can find its area by multiplying the length and width:
Base area = 4 cm * 9 cm
Base area = 36 cm²
Now, we can plug the values into the volume formula:
Volume = (1/3) * 36 cm² * 21 cm
Volume = (1/3) * 756 cm³
Volume = 252 cm³
Therefore, the volume of the wedge-shaped piece of cheese is 252 cm³.
Volume = (1/3) * base area * height
First, we need to calculate the base area of the wedge. Since the base is a rectangle, we can find its area by multiplying the length and width:
Base area = 4 cm * 9 cm
Base area = 36 cm²
Now, we can plug the values into the volume formula:
Volume = (1/3) * 36 cm² * 21 cm
Volume = (1/3) * 756 cm³
Volume = 252 cm³
Therefore, the volume of the wedge-shaped piece of cheese is 252 cm³.