Question

On a cube, what proportion of the surface area is on each face, to the nearest percent?

Answer 1

Cubes have 6 equal faces, and the surface area is the sum of all of these faces. Thus, one face would be 1/6 of the cube's surface area, or about 17%.

Answer 2

The proportion of the surface area on each face of a cube is 17%

How to determine the proportion?

Let the side length of the cube x.

So, we have:

• Surface area = 6x^2
• Area of one face = x^2

The proportion is then calculated as:

Proportion = x^2/6x^2

Evaluate

Proportion = 0.17

Express as percentage

Proportion = 17%

Hence, the proportion of the surface area on each face of a cube is 17%

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