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More Lessons for GCSE Maths

Math Worksheets

Examples, solutions, videos, activities and worksheets that are suitable for GCSE Maths.

**How are the length, area and volume scale factors related?**

When two objects are given to be mathematically similar then the length, area and volume scale factors are related as follows:

Length scale factor = k

Area scale factor = k^{2}

Volume scale factor = k^{3}

The following diagram shows the relationship between length scale factor, area scale factor and volume scale factor. Scroll down the page for more examples and solutions using scale factors.

**Length, Area and Volume scale factors**

Using the relationship between length, area and volume scale factors to calculate the surface area of mathematically similar cones.

**How to find the scale factor when a 2 dimensional or three dimensional shape is enlarged by a factor?**

The area is increased by the square of the factor and the volume is increased by the cube of the factor
**GCSE Maths - Scale Factor Enlargements of Solids (Similar Shapes)**

Higher A Star OCR AQA**Mathematically similar**

How to use scale factor of enlargement of sides to work out new volumes and area?

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for GCSE Maths

Math Worksheets

Examples, solutions, videos, activities and worksheets that are suitable for GCSE Maths.

When two objects are given to be mathematically similar then the length, area and volume scale factors are related as follows:

Length scale factor = k

Area scale factor = k

Volume scale factor = k

The following diagram shows the relationship between length scale factor, area scale factor and volume scale factor. Scroll down the page for more examples and solutions using scale factors.

Using the relationship between length, area and volume scale factors to calculate the surface area of mathematically similar cones.

The area is increased by the square of the factor and the volume is increased by the cube of the factor

Higher A Star OCR AQA

How to use scale factor of enlargement of sides to work out new volumes and area?

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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