Question

please answer this correctly
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Answer 1

Given :

• Volume of cube = 216 cm³

To find :

• Side of cube

Formula used :

$\large \bf \: v = {a}^{3}$

Where :-

• V = volume of cube

• a = length of each side of cube

Solution :

Volume of cube = 216 cm³

$\implies\sf \: v = {a}^{3}$

$\implies\sf \: 216= {a}^{3}$

$\implies\sf \: \sqrt[3]{216} = {a}$

$\implies\sf \: \sqrt[3]{6 \times 6 \times 6} = {a}$

$\implies\sf \: \sqrt[3]{{6}^{3}} = {a}$

$\implies\sf \: {({6}^{3})}^{ \frac{1}{3} } = {a}$

$\implies\sf \: {({6}^{3 \times \frac{1}{3}})} = {a}$

$\implies6 = a$

Answer :

length of each side of given cube = 6 cm

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$\large\bf\blue{Additional-Information}$

Volume of cylinder = πr²h

T.S.A of cylinder = 2πrh + 2πr²

Volume of cone = ⅓ πr²h

C.S.A of cone = πrl

T.S.A of cone = πrl + πr²

Volume of cuboid = l × b × h

C.S.A of cuboid = 2(l + b)h

T.S.A of cuboid = 2(lb + bh + lh)

C.S.A of cube = 4a²

T.S.A of cube = 6a²

Volume of cube = a³

Volume of sphere = (4/3)πr³

Surface area of sphere = 4πr²

Volume of hemisphere = ⅔ πr³

C.S.A of hemisphere = 2πr²

T.S.A of hemisphere = 3πr²

Answer 2

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Hope it is helpful