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

Answer:

$Side=\sqrt{\frac{SA}{6}}$

Step-by-step 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 : $\frac{SA}{6}=6a^2$

$SA=6a^2$

$\frac{SA}{6}=a^2$

$\sqrt{\frac{SA}{6}}=a$

Hence the formula to find its side is $\sqrt{\frac{SA}{6}}$

Answer 2

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: $\frac{SA}{6} =a^2$

Next, square root each side, and your answer should be $\sqrt{\frac{SA}{6}} =a$