The volume of a solid right pyramid with a square base is V units3 and the length of the base edge is y units.

A solid right pyramid with a square base has a volume of V units cubed and the length of the base edge is y units.

Which expression represents the height of the pyramid?

StartFraction 3 V Over y squared EndFraction units

(3 V minus y squared) units

(V minus 3 y squared) units

StartFraction V Over 3 y squared EndFraction units

Height of the pyramid = 3v/y² units

Step-by-step explanation:

We are given;

- The volume of a solid right pyramid with a square base = v units³

- The length of the base edge = y units

The formula for volume of a pyramid is given as;

V = ⅓ x base area x height.

Since the base is square, we will use the formula for square area which is A = side * side.

Thus, v = ⅓ * (y * y) * height

Making height the subject, we have;

Height = 3v/y²

height of the pyramid would be given by the expression 3v/y² units