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

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Multiplying a Dimension by a Constant Factor
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When all dimensions of a prism are multiplied by factor kk, how does the volume change?

Volume multiplied by k3k^3

When all dimensions are multiplied by kk, how does surface area change?

Surface area multiplied by k2k^2

If only one dimension of a prism is multiplied by 5, how does the volume change?

Volume multiplied by 5

If two dimensions are multiplied by 5, how does volume change?

Volume multiplied by 25

A prism has volume VV. If all dimensions are tripled, what is the new volume?

27V27V

To double the area of a square, by what factor should each side be multiplied?

2\sqrt{2}

In the Nash problem, which suggestion doubles the room area?

Daughter's: multiply by 2\sqrt{2}

Which Nash suggestion doubles area and keeps the room square?

Daughter's suggestion

A prism has surface area AA. All dimensions are doubled. What is the new surface area?

4A4A

In the Nash problem, Mum suggests doubling the sides. What is the result?

Area quadruples to 4k24k^2

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