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The volume of a cube is $1000 {cm}^{2}$ . Find its total surface area.

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500

{cm}^{2}

600

{cm}^{2}

700

{cm}^{2}

800

{cm}^{2}

answer is B.

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Detailed Solution

Given, Volume of cube V=1000

c m^{3}

Suppose,
Side of cube

= a

Now, we know that, volume of a cube

V = {side}^{3}

1000 {cm}^{3} = a^{3}

a^{3} = 1000

Taking cube root both side,

a = \sqrt[3]{1000}

a = \sqrt[3]{10^{3}}

a = 10 cm

Now, total surface area of a cube

TSA = 6 a^{2}

TSA = 6 (10)^{2}

TSA = 600 {cm}^{2}

So, total surface area of given cube is

600 {cm}^{2} .

Correct option is 2.

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