Question

12. sheet is needed to wrap a cube of length 5m.
(a) 125m2
(b) 150cm?
(c)100m
(d
)
1
Y 11​

Answer 1

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

$\tt 12)\:\:sheet\: is\: needed\: to\: wrap\: a\: cube\: of\: length\: 5\:m.$

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

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

• $\bf Side \:of\: the \:cube = 5\:m$

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

• $\bf Sheet\:needed\: to\: wrap\: the\: cube$

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

${\pink {\underline {\bf {\pmb {Sheet\:needed\: to\: wrap\: the\: cube}}}}}$

${\blue {\boxed {\boxed {\boxed {\green {\pmb {TSA_{(Cube)}=6{a}^{2}}}}}}}}$

• $\sf TSA=total\: surface\: area\: of \:the \:cube$
• $\sf a=side\: of \:the \:cube$

${\underbrace {\overbrace {\orange {\pmb {Substitute \:the \:values}}}}}$

$\bf \implies TSA=6 {\big(5\big)}^{2}$

$\bf \implies TSA=6 \times 25$

$\implies {\blue {\boxed {\boxed {\purple {\mathfrak {TSA=150\:{m}^{2}}}}}}}$

${\underbrace {\red {\underline {\red {\overline {\red {\pmb {\sf {{\therefore} The\:sheet\:needed\: to\: wrap\: this\: cube\:{m}^{2}}}}}}}}}}$

____________________________________________________

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

$\sf Lateral\: surface\: area\: of\: the\: cube =4{a}^{2}$

$\sf Total\: surface\: area\: of\: the\: cube =6{a}^{2}$

$\sf Volume\: of\: the\: cube ={a}^{3}$