Question

The total surface area of open cube is 80 cm2. Find its volume.

Answer 1

Step-by-step explanation:

I don't understand your question but

total surface area is

$= {6a}^{2}$

volume of cube is

$= {a}^{3}$

a is side

Hope it helpful for you

Answer 2

$\underline{\underline{\huge{\gray{\tt{\textbf Answer :-}}}}}$

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$\sf\large\bold{\orange{\underline{\blue{ Given :-}}}}$

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• The total surface area of open cube is 80 cm²

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$\sf\large\bold{\orange{\underline{\blue{ To \: Find :-}}}}$

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• The volume of cube

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$\sf\large\bold{\orange{\underline{\blue{ Solution :-}}}}$

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We know that ,

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$\underline{ \underline{\bold{\texttt{Total surface area of cube :}}}}$

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➠ 6s²

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Where ,

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• s = Side of cube

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Given that the cube is open i.e it has only 5 faces hence its total surface area will be :

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: ➜ 6s² - s²

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: ➜ 5s²

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As per the question the total surface area of open cube is 80 cm²

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Thus ,

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: ➜ 5s² = 80

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: ➜ $\sf s ^2 = \dfrac { 80 } { 5 }$

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: ➜ $\sf s ^2 = 16$

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: ➜ $\sf s = \sqrt { 16 }$

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: ➜ s = 4 cm

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• Hence the side of cube is 4 cm

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$\underline{ \underline{\bold{\texttt{Volume of cube :}}}}$

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➠ s³ ⚊⚊⚊⚊ ⓵

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Where ,

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• s = Side of cube

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$\underline{ \underline{\bold{\texttt{Volume of given cube :}}}}$

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• s = 4 cm

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⟮ Putting the above value in ⓵ ⟯

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: ➜ s³

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: ➜ 4³

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: : ➨ 64 cu. cm.

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• Hence the volume of cube is 64 cu. cm.

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