Question

A solid right pyramid has a square base with an edge length of x cm and a height of y cm. Which expression represents the volume of the pyramid? xy cm3 x2y cm3 xy2 cm3 x2y cm3

Answer 1

b on ed

Explanation:

Answer 2

The correct answer is:

`V = (1)/(3)x^2y`

Explanation:

The volume of a right rectangular prism is found by finding the area of the base and multiplying by the height. This is because there are "layers" of the base from the bottom to the top, making the height the number of "layers."

However, in a pyramid, the shape comes to a point. This makes the volume of a pyramid 1/3 of that of the corresponding prism.

For our pyramid, the area of the base would be x(x) = x². There are y layers of this base, so this would be x²y. Since it is a pyramid, this gives us (1/3)x²y.