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Changing Dimensions

This topic deals with the understanding of how the volume and surface area of a three dimensional figure change when its dimensions change.

Topic: Surface Areas of Similar Figures

  • A scale factor is a number that every dimension of a figure is multiplied by to make a similar figure

  • If three-dimensional figure B is similar to figure A by a scale factor, then the surface area of B is equal to the surface area of A times the square of the scale factor

  • Surface area of figure B = Surface area of figure A x (Scale factor)2

Topic: Volume of Similar Figures

  • A scale factor is a number that every dimension of a figure is multiplied by to make a similar figure

  • If three-dimensional figure B is similar to figure A by a scale factor, then the volume of B is equal to the volume of A times the cube of the scale factor

  • Volume of figure B = Volume of figure A x (Scale factor)3
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