AI generatedGeometry and measuresGCSE Higher

Length scale factor from a volume ratio

Take a cube root.

  • Match corresponding lengths before taking a ratio.
  • Length scale factor gives area factor and volume factor .
  • Reverse with a square root or cube root when an area or volume ratio is given.

Example 1

Similar solids have volume ratio 1 : . Find their length scale factor.

Take the square root for areas or cube root for volumes.

Example 2

Similar solids have volume ratio 1 : . Find their length scale factor.

Take the square root for areas or cube root for volumes.

Your turn

Question 1

Similar solids have volume ratio 1 : . Find their length scale factor.

Check answer
Take the square root for areas or cube root for volumes.
Question 2

Similar solids have volume ratio 1 : . Find their length scale factor.

Check answer
Take the square root for areas or cube root for volumes.
Question 3

Similar solids have volume ratio 1 : . Find their length scale factor.

Check answer
Take the square root for areas or cube root for volumes.
Question 4

Similar solids have volume ratio 1 : . Find their length scale factor.

Check answer
Take the square root for areas or cube root for volumes.
Question 5

Similar solids have volume ratio 1 : . Find their length scale factor.

Check answer
Take the square root for areas or cube root for volumes.
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