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Enlargement and Scale Factors

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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 = k2
Volume scale factor = k3

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.
GCSE Maths - Scale Factor Enlargements of Solids (Similar Shapes) Higher A Star OCR AQA

This is a step by step guide on 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
Mathematically similar
How to use scale factor of enlargement of sides to work out new volumes and area

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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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