AI generatedGeometry and measuresGCSE Higher

Finding a volume scale factor

Cube the length scale factor.

  • 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 length scale factor . Find the volume scale factor.

Square a length scale factor for area; cube it for volume.

Example 2

Similar solids have length scale factor . Find the volume scale factor.

Square a length scale factor for area; cube it for volume.

Your turn

Question 1

Similar solids have length scale factor . Find the volume scale factor.

Check answer
Square a length scale factor for area; cube it for volume.
Question 2

Similar solids have length scale factor . Find the volume scale factor.

Check answer
Square a length scale factor for area; cube it for volume.
Question 3

Similar solids have length scale factor . Find the volume scale factor.

Check answer
Square a length scale factor for area; cube it for volume.
Question 4

Similar solids have length scale factor . Find the volume scale factor.

Check answer
Square a length scale factor for area; cube it for volume.
Question 5

Similar solids have length scale factor . Find the volume scale factor.

Check answer
Square a length scale factor for area; cube it for volume.
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