Question

If a cube has surface area s and volume v, then the volume of the cube of surface area 2s is

Answer 1

Answer:

2v

Step-by-step explanation:

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Answer 2

ANSWER

2√2V

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STEP 1

let the edge of the cube be a. then,

surface area, S=6a², and

Volume, V=a³

STEP 2

We can say that

a=(S/6)½

Now let us put this value of a in expression for volume. V then becomes:

(S/6)^3/2

STEP 3

Thus, for another cube with surface 2S, the volume will be:

(2S/6)^3/2

=(2)^3/2 × (S/6)^3/2

=(2)^3/2V

$= 2 \sqrt{2v}$