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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.

Verified Answer :

scme1702

The area of the square:
a = l²

The volume of a cube:
v = s³

Answer:

The two equations are a = l × l or \(a=l^2\) and  v =  s × s × s or  \(v=s^3\)

Step-by-step 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  \(v=s^3\)



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