Question

If each of cube is doubled,
1) How many times will its surface area increase?
2) How many times will its volume increase?​

Answer 1

$\huge \mathfrak \red { \underline {Bonjour}}$

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According to my knowledge your answer will be

a ) it's surface area will be increased 4 times.

b ) It's volume will be increased 7 times

If each edge of a cube is doubled.How many times will its surface area increase?How many times will its volume increase?

ANSWER

Surface area of cube = 6a²

Is sides of cube is doubled

New surface area is = 6 × 4a²

Divide 2 by 1

= 24a²

$\frac{suface \: area \: of \: cube \: 2}{surface \: area \: of \: cube \: 1} = \frac{ {24 \: a}^{2} }{ {6 \: a}^{2} }$

= 4 times

Surface area increased 4 times .

Volume of cube= a ³

Volume of new cube= (2a) ³

= 8a ³

Divide 2 by 1

$\frac{volume \: of \: new \: cube}{volume \: of \: cube} = \frac{ {8a}^{2} }{ {a}^{3} }$

Volume increased by 8 times.

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I hope my answer helps you...

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