Solve the problem. What is the volume of a rectangular pyramid with a base of 200 square meters and a height of 75 meters? Show your work.(2 points

5 answers

The formula to calculate the volume of a rectangular pyramid is given by:

Volume = (1/3) * Base Area * Height

Given that the base area is 200 square meters and the height is 75 meters, we can substitute these values into the formula:

Volume = (1/3) * 200 * 75
Volume = (1/3) * 15000
Volume = 5000 cubic meters

Therefore, the volume of the rectangular pyramid is 5000 cubic meters.
is the 1/3 a fraction
Yes, the term "1/3" is a fraction where the number 1 is the numerator and the number 3 is the denominator. It represents one third or one divided by three. In the formula for the volume of a pyramid, the fraction represents the multiplication of the base area and height, then dividing by 3.
were dose 1/3 come from
The term 1/3 comes from the formula for the volume of a pyramid, which is defined as:

Volume = (1/3) * Base Area * Height

The factor of 1/3 arises from the geometry of a pyramid, where the volume is one-third of the product of the base area and the height. This ratio is derived from the concept of similar triangles and can be used to calculate the volume of various types of pyramids, including rectangular pyramids.