Question

Find the side of a cube whose surface area is 2400 cm2.

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Answer 1

✯✯ QUESTION ✯✯

Find the side of a cube whose surface area is 2400 cm2.

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✰✰ ANSWER ✰✰

$Side\:of\:cube=?$

$S.A\:of\:cube= {2400cm}^{2}$

${6a}^{2}= {2400cm}^{2}$

$6 × a × a = 2400$

$a×a = \cancel\dfrac{2400}{6}⟹400$

$a × a = \sqrt{400}$

$a = 20cm$

Each side of cube = 20cm...

Answer 2

Given:

Surface area of the cube is 2400 cm²

To find:

The side of cube.

Solution:

We know that surface area of cube is calculated by following formula.

$6 {a}^{2} ({where \: a \: is \: side \: of \: cube})$

Now,

$6 {a}^{2} = 2400 \\ \\ {a}^{2} = \frac{2400}{6} \\ \\ {a}^{2} = 400 \\ \\ \sqrt{ {a}^{2} } = \sqrt{400} \\ \\ a = 20 \: cm$

Hence, side of cube = 20 cm