Question

If every side of a cube of volume V is doubled , its volume becomes PV. find the value of P.​

Answer 1

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Let the original side of the cube be a .

Then,

v = ${a}^{3}$

When side of the cube = 2a

then,

Volume = PV

example :

PV =$(2a)^{3}$ =$8a^{3}$

PV = 8 V

P = 8

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Answer 2

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Let the original side of the cube be a .

Then,

v = {a}^{3}a

3

When side of the cube = 2a

then,

Volume = PV

example :

PV =(2a)^{3}(2a)

3

=8a^{3}8a

3

PV = 8 V

P = 8