Question

What is the relationship of the volume of the cube to its edge length

Answer 1

V ∝ a

Explanation:

Let's call each edge length as
`a`.

By definition, we know that the volume of a cube is

`V=a^(3)`

Through this expression, you can deduct that the volume of the cube is directly proportional to its edge, that means the volume depends totally on the edge length. A direct proportion means that if the length of the edge increases, then the volume will also increase. This proportion is written like this

V ∝ a

This expression represent all we said before, the volume is directly proportional to its edge length.

Answer 2

If x is the volume and y is the edge length, the general equation would be

y = k*(x^3)

The relationship between the edge length and the volume is a direct variation, but it is not linear.