Question

HELP ASAP PLEASE :)

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?

One-thirdxy cm3
One-thirdx2y cm3
One-halfxy2 cm3
One-halfx2y cm3

Answer 1

One-thirdx2y cm3

Explanation:

Given the base is square.The base length is
`x\ cm` and height is
`h\ cm`.

The general formula of volume of a right pyramid having a square base is,

`V=(lwh)/(3)` cube unit.

Here,
`l=w=x` and
`h=y`
`cm`

substituting these into the formula, we get:

`V=(xxy)/(3)\\ V=(x^2y)/(3)`
`cm^3`

Thus the volume of right pyramid has a square base with an edge length of x cm and a height of y cm is One-thirdx2y cm3.