Using the scale factor for enlarging a volume
I can calculate the scale factor used to enlarge a volume and use it to find missing lengths.
Using the scale factor for enlarging a volume
I can calculate the scale factor used to enlarge a volume and use it to find missing lengths.
Lesson details
Key learning points
- You can calculate the scale factor from the two volumes.
- Having calculated the scale factor, you can find missing lengths.
Common misconception
A linear scale factor can only be found by finding the multiplicative relationship between two corresponding lengths.
A linear scale factor can also be found by cube rooting a volume scale factor, where the volume scale factor is found from the multiplicative relationship between the volumes of two similar 3D shapes.
Keywords
Similar - Two shapes are similar if the only difference between them is their size. Their side lengths are in the same proportions.
Invariant - A property of a shape is invariant if that property has not changed after the shape is transformed.
Enlargement - Enlargement is a transformation that causes a change of size.
Scale factor - A scale factor is the multiplier between similar shapes that describes how large one shape is compared to the other.
Volume - Volume is the amount of space occupied by a closed 3D shape.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
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Starter quiz
6 Questions
Linear scale factor: $$3$$ -
Volume scale factor: $$27$$
Linear scale factor: $$10$$ -
Volume scale factor: $$1000$$
Linear scale factor: $$2$$ -
Volume scale factor: $$8$$
Linear scale factor: $$6$$ -
Volume scale factor: $$216$$
Linear scale factor: $$9$$ -
Volume scale factor: $$729$$
Exit quiz
6 Questions
