Question

Please please tell me ​

Answer 1

$\large{\blue{\underline{\underline{\bold{Answer:}}}}} \\ \\ \sf \: \implies \: 512 {cm}^{3}$

$\large \underline{ \underline{ \sf \green {Given:}}}$

Lateral surface area=256cm²

$\large \underline{ \underline{ \sf \orange {To \: find:}}}$

Volume of cube

$\large\underline{ \underline{ \sf \pink{ Solution:}}}$

Lateral surface area of cube=4side²

256m²=4side²

64m²=side²

8m=Side

Volume of cube =side³

=>8m×8m×8m

$\large \boxed {\sf=>512m³}$

$\large \underline {\underline { \purple{\sf Formula \: used:}}}$

• Lateral surface area of cube =4(Side)²
• Volume of cube=(Side)³

Answer 2

$\underline{\boxed{\bold\red{Question}}}</p><p>$

The lateral surface area of a cube is 256 cm² then, find the volume

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$\underline{\boxed{\bold\blue{Answer}}}$

$\huge\colorbox{green}{512cm³}$

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$\underline{\boxed{\bold\purple{Formula}}}$

⋆volume of cube = (Edge)³

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$\underline{\boxed{\bold\pink{Explanation}}}$

$\huge\underline\orange{Given}$

⋆Lateral surface area of a cube is = 256cm²

volume of cube = (Edge)³

⇝4(Edge)²= 256

$⇝(Edge)²=\frac{256}{4}$

⇝Edge= (64)²

⇝Edge = 8

Volume of cube

⇝(8)³

⇝512cm³

[Hope this helps you.../]