The Effect of Multiplying a Dimension by a Factor of k (Grade 10 NSC Matric Mathematics): Quizzes

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The Effect of Multiplying a Dimension by a Factor of k
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If one dimension of a 3D shape is multiplied by kk, how does the volume scale?

Volume scales by kk

If two dimensions of a rectangular prism are multiplied by kk, how does volume scale?

Volume scales by k2k^2

When all three dimensions are multiplied by kk, how does volume change?

Volume scales by k3k^3

When does surface area scale by k2k^2?

When ALL dimensions scaled by kk

When a cylinder's radius is multiplied by kk, how does volume scale?

Volume scales by k2k^2

A cube's dimensions are all multiplied by 4. What is the new volume factor?

64 times original

When only some dimensions are scaled, what happens to surface area?

Complex calculation, no simple rule

The general volume scaling rule is kk to what power?

k(number of dimensions scaled)k^{\text{(number of dimensions scaled)}}

When cylinder radius is scaled by kk, what happens to surface area?

Scales by k2k^2

Why does scaling cylinder radius by kk affect volume by k2k^2?

Radius appears squared in formula

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