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If all the dimensions of a cube are increased by five units how will the surface area change? The choices are increased by a factor 5, increase by a factor of 10, increase by a factor of 25, or increase a factor of 50.

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It will increase by a factor of 25. 

Surface area of cube with side of 1 unit: 6
Surface area of cube with side of 5 unit: 150

The area of the cube will increase by a factor of 25

What is surface area of a cube?

"The surface area of the cube of side length of 'a' units is A = 6a²"

For given question,

Consider a cube having side length = m units

Using the formula for the surface area of the cube,

A = 6m²

If all the dimensions of a cube are increased by five units.

The area of the cube would be,

⇒ A1 = 6 × (5m)²

⇒ A1 = 25 × 6m²

⇒ A1 = 25 × A

Therefore, the area of the cube will increase by a factor of 25

Learn more about the area of the cube here:

https://brainly.com/question/14994710

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