Question

If lateral surface are of a cube is 256 sq.cm, find its side

Answer 1

Answer:

Hence, one side of the cube is 8 cm.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

$\blue{ \bf{ \underline{QUESTION} : - }}$

If lateral surface are of a cube is 256 cm², find its side

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$\boxed{ \huge{ \bold{Given}}}$

• Lateral Surface Area of the Cube = 256 cm²

$\boxed{ \huge{ \bold{to \: find}}}$

• Side Of the Cube

$\star{ \pink{ \underline{ \underline{Ｓｏｌｕｔｉｏｎ : - }}}}$

Let ,

• Side = x

We know ➥

$\boxed{ \boxed{ \sf{ \red{Lateral \: Surface \: Area \: of \: the \: Cube = 4 (side)²}}}}$

Now,

$\: \: \: \: \: \ \: \: \: : \purple \implies{ \sf{ \bold{ 256 = \: \: \: 4 {x}^{2} \: \: \: \: \: \: }}}$

$\: \: \: \: \: \ \: \: \: : \purple \implies{ \sf{ \bold{ \cancel\frac{256}{4} = \: \: \: {x}^{2} \: \: \: \: \: \: }}}$

$\: \: \: \: \: \ \: \: \: : \purple \implies{ \sf{ \bold{ 64 = \: \: \: {x}^{2} \: \: \: \: \: \: }}}$

$\: \: \: \: \: \ \: \: \: : \purple \implies{ \sf{ \bold{ \sqrt{64} { = \: \: \: x \: \: \: \: \: \: }}}}$

$\: \: \: \: \: \ \: \: \: : \purple \implies{ \sf{ \bold{ \sqrt{8 \times 8} = \: \: \: {x} \: \: \: \: \: \: }}}$

$\: \: \: \: \: \ \: \: \: : \purple \implies{ \sf{ \bold{ 8 = \: \: \: {x} \: \: \: \: \: \: }}}$

$\boxed {\therefore{ \orange{ \frak{side = 8 \: cm}}}}$

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