Question

Find the edge of the cube whose volume is 100cm3

Answer 1

$\huge\sf\pink{Answer}$

☞ Your Answer (approx) 5 cm

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$\huge\sf\blue{Given}$

➝ Volume of cube = 100 cm³

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$\huge\sf\gray{To \:Find}$

✭ Edge of Cube

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$\huge\sf\purple{Steps}$

$\normalsize\sf\:\bullet\ Let \: the \: side \: of \: cube \: be \: a \: cm$

$\underline{\bigstar\:\textsf{As\: per\:the \: Question \: :}}$

$\large\underline{\boxed{\sf \red{Volume \: of \: Cube = side^{3} }}}$

$\normalsize\dashrightarrow\sf\ Volume \: of \: cube = (a)^{3}$

$\normalsize\dashrightarrow\sf\ 100 = a^{3}$

$\normalsize\dashrightarrow\sf\sqrt[3]{100} = (a)$

$\normalsize\dashrightarrow\sf\ a = 4.64$

$\normalsize\orange{\dashrightarrow\sf\ a = 5cm(approx)}$

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Answer 2

Correct Question -

Find the edge of the cube whose volume is 100 cm³ .

In the above Question , we have been provided the following information -

The volume of the given cube is 100 cm³ .

To find -

We have to find the edge of the cube .

Solution -

Let the edge of the given cube be a cm .

$\setlength{\unitlength}{4mm}\begin{picture}(5,5)\multiput(0,0)(0,10){2}{\multiput(0,0)(4,4){2}{\line(1,0){10}}\multiput(0,0)(10,0){2}{\line(1,1){4}}}\multiput(0,0)(10,0){2}{\multiput(0,0)(4,4){2}{\line(0,1){10}}}\end{picture}$

We know that -

Volume Of Cube -

=> a³

But , the volume of the cube is given as 100 cm³ .

So

a³ = 100

=> a = 3√ { 100 }

=> a = 4.64 cm .

Hence the required edge of the cube is 4.64 cm.

Additional Information -

For a cube of edge a cm -

The lateral Surface area of the cube is 4a² unit² .

The total surface area of the cube is 6a² unit² .

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