Question

The surface area (SA) of a cube with a as the length of each of its sides is given by the formula SA=6a^2 If the surface area is known, how can you rewrite the formula to find its side?

Answer 1

So to rewrite it so that we can find the side, we just need to isolate the a variable.

`SA=6a^2`

So firstly, divide by 6 on both sides of the equation:
`(SA)/(6) =a^2`

Next, square root each side, and your answer should be
`\sqrt{(SA)/(6)} =a`

Answer 2

`Side=\sqrt{(SA)/(6)}`

Explanation:

Given : The surface area (SA) of a cube with a as the length of each of its sides is given by the formula
`SA=6a^2`

To Find: If the surface area is known, how can you rewrite the formula to find its side?

Solution:

Surface area of cube =
`SA=6a^2`

Where a is the side of the cube

If surface area is known.

So, To find the formula :
`(SA)/(6)=6a^2`

`SA=6a^2`

`(SA)/(6)=a^2`

`\sqrt{(SA)/(6)}=a`

Hence the formula to find its side is
`\sqrt{(SA)/(6)}`