Multiplying a Dimension by a Constant Factor (Grade 11 NSC Matric Mathematics): Flashcards

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Multiplying a Dimension by a Constant Factor
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Volume scaling factor when all dimensions multiplied by kk

k3k^3

Surface area scaling factor when all dimensions scaled by kk

k2k^2

Volume factor when ONE dimension scaled by kk

kk (k times original)

Volume factor when TWO dimensions scaled by kk

k2k^2 (k squared times original)

Factor to multiply linear dimensions to double an area

2\sqrt{2}

Area result when doubling all sides of a square

4 times original area

Volume formula for rectangular prism

V=lbhV = lbh

Surface area formula for rectangular prism

A=2(lh+lb+bh)A = 2(lh + lb + bh)

Volume factor when all 3 dimensions scaled by 5

53=1255^3 = 125 times

Surface area factor when all dimensions scaled by 5

52=255^2 = 25 times

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