Question
Why isn’t Jesus cut from a real Parmesan in the wedge approximate the shape of an rectangular pyramid. Is bass is 4 cm wide in 9 cm long the wedge is 21 cm tall what is the volume of a piece of cheese
Answers
GPT 3.5
To calculate the volume of a piece of cheese in the shape of a rectangular pyramid, we need to first calculate the volume of the entire wedge.
The volume of a rectangular pyramid is given by the formula: 1/3 * base area * height
The base area of the pyramid is the area of the rectangle which is given by the formula: length * width
Given that the base (bass) is 4 cm wide and 9 cm long, the base area is 4 * 9 = 36 cm^2
The height of the pyramid is 21 cm.
Therefore, the volume of the entire wedge is: 1/3 * 36 cm^2 * 21 cm = 252 cm^3
Since the cheese Jesus is cut from the wedge, the volume of Jesus's cheese will be less than the volume of the entire wedge. The exact volume of Jesus's cheese would depend on the specific dimensions of the cut.
The volume of a rectangular pyramid is given by the formula: 1/3 * base area * height
The base area of the pyramid is the area of the rectangle which is given by the formula: length * width
Given that the base (bass) is 4 cm wide and 9 cm long, the base area is 4 * 9 = 36 cm^2
The height of the pyramid is 21 cm.
Therefore, the volume of the entire wedge is: 1/3 * 36 cm^2 * 21 cm = 252 cm^3
Since the cheese Jesus is cut from the wedge, the volume of Jesus's cheese will be less than the volume of the entire wedge. The exact volume of Jesus's cheese would depend on the specific dimensions of the cut.