Question

The surface area A of a cube is equal to the sum on the areas of the 6 square faces that form the cube. If each face has side length s, then the formula A=6s2 can be used to find the surface area of a cube. The surface area of the cube shown is 1944 units2. What is the value of x?

Answer 1

18 units

Explanation:

Hello, I can help you with this.

Step 1

identify

we have a equation, let's look it

A=6s2

The surface area A of a cube=6(area of a face)

area of face= side*side

so

Area=6*side*side

Step 2

isolate side from the equation

`side^(2)=(Area)/(6)\\side=+\sqrt{(Area)/(6)}`

we are looking for a distance, so , we will use only the positive root

Step 3

replace the value of 1944 square units into the equation

`side=+\sqrt{(Area)/(6)}\\side=+\sqrt{(1944)/(6)}\\side=√(324)\\\\side=18\\`

so, the value x of a side of a cube with a total

the side of a cube is 18 units when the surface area of the cube shown is 1944 units2

Have a good day.