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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?

Respuesta :

Answer:

18 units

Step-by-step 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

[tex]side^{2}=\frac{Area}{6}\\side=+\sqrt{\frac{Area}{6}}[/tex]

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

[tex]side=+\sqrt{\frac{Area}{6}}\\side=+\sqrt{\frac{1944}{6}}\\side=\sqrt{324}\\\\side=18\\[/tex]

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.

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