Question

A builder uses squares to lay out various projects. Write two equations. The first equation should express the area of the square (a) as a function of the length (l) of a side. The second should express the volume of a cube (v) as a function of the length (s) of a side.

Answer 1

The area of the square:
a = l²

The volume of a cube:
v = s³

Answer 2

The two equations are a = l × l or
`a=l^2` and v = s × s × s or
`v=s^3`

Explanation:

Given : A builder uses squares to lay out various projects.

Area of square = side × side

Here, given the area of the square (a) as a function of the length (l) of a side that is, a = l × l or
`a=l^2`

Also, Volume of cube = side × side × side

Here, given the volume of a cube (v) as a function of the length (s) of a side that is v = s × s × s or
`v=s^3`

Hence, the two equations are a = l × l or
`a=l^2` and v = s × s × s or
`v=s^3`