A slice of cheese is cut from a wheel of parietal and the we edge approximate the shape of a rectangular Pyramid. Its base is 4cm wide and 9 cm long. The wedge is 21 cm tall. What is the volume of the piece of cheese?
The volume of a pyramid can be calculated using the formula V = (1/3)BH, where B is the area of the base and H is the height.
In this case, the base of the wedge is a rectangle with width 4 cm and length 9 cm, so its area is:
B = 4 cm x 9 cm = 36 cm^2
The height of the wedge is given as 21 cm.
Using the formula for the volume of a pyramid, we have:
V = (1/3)BH = (1/3)(36 cm^2)(21 cm) = 252 cm^3
Therefore, the volume of the piece of cheese is 252 cubic centimeters.
To find the volume of the piece of cheese, we can use the formula for the volume of a rectangular pyramid, which is given by:
Volume = (1/3) * base area * height
First, let's calculate the base area of the rectangular pyramid. We are given that the base is 4 cm wide and 9 cm long, so the base area can be calculated as:
Base area = length * width
= 9 cm * 4 cm
= 36 cm²
Next, we can substitute the known values into the volume formula:
Volume = (1/3) * base area * height
= (1/3) * 36 cm² * 21 cm
= 12 cm² * 21 cm
= 252 cm³
Therefore, the volume of the piece of cheese is 252 cm³.