Question

volume of a cube is 1000 cm3 . Find its total surface area.

Answer 1

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Here is the solution:

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Find the length of the cube:

Volume = Length³

Length³ = 1000 cm³

Length = ∛1000

Length = 10 cm

Find the total surface area:

Total Surface Area = 6 x ( length x breadth)

Total Surface Area = 6 x ( 10 x 10 )

Total Surface Area = 6 x 100

Total Surface Area = 600 cm²

Answer: The total surface area is 600 cm²

Answer 2

$\huge\textbf{Solution}$
$<b>$
Let each side of the cube be a cm respectively

$AS \: WE \: KNOW \: THAT \: VOLUME\:\ \: OF \\ A \: CUBE\\ \\ = {a}^{3} (where \: a \: is \: a \: side)$

So Forming an equation as per the Question we have

${a}^{ 3} = 1000 \\ \\ {a}^{3} = {10}^{3} \\ \\ a = 10 \: \: (Cancelling \: the \: power )$

Total surface area of a cube = 6a²

=>6 x 10 x 10 = 600 cm²

Thanks.

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