AI generatedGeometry and measuresGCSE Higher

Length scale factor from an area ratio

Take a square 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 shapes have area ratio 1 : . Find their length scale factor.

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

Example 2

Similar shapes have area ratio 1 : . Find their length scale factor.

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

Your turn

Question 1

Similar shapes have area ratio 1 : . Find their length scale factor.

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

Similar shapes have area ratio 1 : . Find their length scale factor.

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

Similar shapes have area ratio 1 : . Find their length scale factor.

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

Similar shapes have area ratio 1 : . Find their length scale factor.

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

Similar shapes have area ratio 1 : . Find their length scale factor.

Check answer
Take the square root for areas or cube root for volumes.
← All Geometry and measures cardsReport a mistake