Math, asked by ayanumer100, 10 months ago

The surface area of each face of a cube ( x^2 + 4x + 4 ) cm^2. Find the
Length and the volume.
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Answered by Anonymous

13

Answer:

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Answered by Anonymous

12

${\red{\underline{\underline{\bold{Answer:-}}}}}$

Surface area of each face of cube = ${x}^{2} + 4x +4}$

${\blue{\underline{\underline{\bold{To\:Find-}}}}}$

Length of cube
Volume of cube

${\green{\underline{\underline{\bold{Solution:-}}}}}$

Surface area of each face of cube = ${x}^{2} + 4x +4}$

Length of cube =

${x}^{2}+2x+2x+4 \\ \\</p><p></p><p>= x(x+2) +2(x+2) \\ \\</p><p></p><p>= (x+2) (x+2)$

Length of cube = (x+2) cm

___________________

Volume of cube = ${x+2}^{3} \\ \\</p><p></p><p>= {x}^{3}+{2}^{3}+3×{x}^{2}×2+3×x×{2}^{2} \\ \\</p><p></p><p>= {x}^{3}+8+6{x}^{2}+12x \\ \\</p><p></p><p>= {x}^{3}+6{x}^{2}+12x+8$

____________________

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