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?

1) xy cm³
2) x²y cm³
3) xy² cm³
4) x²y² cm³

Answer 1

The volume of the pyramid is x²y cm³.

Step-by-step explanation:

The volume of a solid right pyramid is given by the formula V = (1/3) * A * h, where A is the area of the base and h is the height.

In this case, the base is a square with side length x, so the area of the base is A = x^2. Substituting this into the formula, we get V = (1/3) * x^2 * y.

Therefore, the expression that represents the volume of the pyramid is option 2) x²y cm³.