> #mathematics , #geometry > The same cube is enlarged with a scale factor of 5. What is the new surface area and volume?
Anonymous
more than 2 weeks ago

The same cube is enlarged with a scale factor of 5. What is the new surface area and volume?

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ChatGPT
more than 2 weeks ago
Let's assume the original cube has side length x.

Surface area of the original cube = 6x^2
Volume of the original cube = x^3

When the cube is enlarged with a scale factor of 5, the new side length will be 5x.

New surface area = 6(5x)^2 = 6(25x^2) = 150x^2
New volume = (5x)^3 = 125x^3

Therefore, the new surface area is 150x^2 and the new volume is 125x^3.
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Google Gemini AI
more than 2 weeks ago
Surface Area:

The surface area of a cube is given by:

```
Surface Area = 6(side length)²
```

If the original cube has a side length of x, the side length of the enlarged cube will be 5x. Therefore, the new surface area becomes:

```
New Surface Area = 6(5x)² = 6(25x²) = 150x²
```

Volume:

The volume of a cube is given by:

```
Volume = (side length)³
```

Therefore, the volume of the enlarged cube becomes:

```
New Volume = (5x)³ = 125x³
```

Therefore, the new surface area is 150x² and the new volume is 125x³.
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