Question

Find the side of cube Whose surface area is 600 cm​

Answer 1

Answer:

Answer to the above question.

Answer 2

$\sf \bf \huge {\boxed {\mathbb {QUESTION}}}$

$\tt Find \:the \:side\: of\: cube \:Whose\: surface\: area\: is\: 600\: {cm}^{2}.$

$\sf \bf \huge {\boxed {\mathbb {ANSWER}}}$

$\sf \bf {\boxed {\mathbb {GIVEN}}}$

• $\sf \bf The\:surface \:area \:of \:cube = 600\:{cm}^{2}$

$\sf \bf {\boxed {\mathbb {TO\:FIND}}}$

• $\sf \bf The\:side \:of \:the \:cube$

$\sf \bf {\boxed {\mathbb {SOLUTION}}}$

${\color {springgreen} \underline {\sf Let\:the \:side \:of \:the \:cube \:be\:x}}$

${\boxed {\boxed {\boxed {\color {blue} {\sf \bf A=6{a}^{2}}}}}}$

• $\sf A=area\:of \:the \:cube$
• $\sf a=side \:of \:the \:cube$

${\underbrace {\overbrace {\color {orange} {\bf Substitute\:the \:values}}}}$

$\sf \bf \implies 600=6{x}^{2}$

$\sf \bf \implies {x}^{2}=\dfrac{600}{6}$

$\sf \bf \implies {x}^{2}=\dfrac{\cancel {600}}{\cancel {6}}$

$\sf \bf \implies {x}^{2}=100$

$\sf \bf \implies x=\sqrt{100}$

$\implies {\boxed {\boxed {\color {aqua} {\sf \bf x=10\:cm}}}}$

${\underbrace \color {red}{\underline \color {red} {\sf \therefore The\:side\:of\:the \:cube \:is \:10\:cm}}}$

$\sf \bf \huge {\boxed {\mathbb {HOPE \:IT \:HELPS \:YOU}}}$

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$\sf \bf \huge {\boxed {\mathbb {EXTRA\:INFORMATION}}}$

$\bf Area\:of \:cube =6{a}^{2}$

$\bf Area\:of \:cuboid =2\Big(lb+bh+hl\Big)$

$\bf Area\:of \:cylinder =2 \pi r \Big(r+h\Big)$

$\bf Area\:of \:cone= \pi r \Big(r+l\Big)$

$\bf Area\:of \:sphere =4 \pi {r}^{2}$

$\bf Area\:of \:hemisphere =3 \pi {r}^{2}$