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A cube has a side length of x feet. Which expression represents the surface area of the cube?

A)4x square units
B)24x square units
C)x2 square units
D)6x2 square units

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A cube has a side length of x feet. Which expression represents the surface area of-example-1
User Plue
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The answer is D)6x2 square units.

A surface area of a cube is a sum of its sides' areas. A side of the cube is a square, and there are total 6 sides of the cube. Also, an area of the side of the cube is the area of the square, which can be expressed as a², where a is the length of the side. Therefore, the surface area (SA) of the cube is:
SA = 6*a² = 6a²

If side length is x, that means that a = x units.
After replacing it in the formula, you will have:
SA = 6a² = 6x² square units

User Abdimuna
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