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Maths-

General

Easy

Question

Surface area of a cube is 443.76 cm² . Find the volume of it?

7.6
8.4
8.6
6.4

hint Hint:

Volume of a cube = (side)3 [cubic units]
Total Surface Area(TSA) of cube = 6a2
Where, a is side of cube

The correct answer is: 6.4

We are given that

Surface area of a cube = 443.76 cm²

We have to find volume of the cube

6a²= 443.76

Divide both sides of equation by 6

$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a squared equals fraction numerator 443.76 over denominator 6 end fraction end cell row cell a squared equals 73.96 end cell end table$

Taking square root of both sides we get,

$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a equals square root of 73.96 end root end cell row cell a equals 8.6 end cell end table$

Therefore, the volume of the given cube is

Volume = a³ = (8.6)³
Volume = 636.056 cm³

The approximate of the volume is 6.4 from the given options,

Therefore the correct option is d) 6.4.

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