Question

A cuboid measures 9 m by 6 m by 4 m.
Find its surface area.​

Answer 1

Length = 9m

Breadth = 6m

Height = 4m

Surface area =2(lb+bh+hl)

=2(9×6 + 6×4 + 4×9)

= 2(54 + 24 +36)

=2×114

= 228m²

Answer 2

$\boxed{\huge{\bf{\star{Correct\:question \:-:}}}}$

• A cuboid whose length is 9 m , Breadth is 6 m and Height is 4 m .Find it's Total Surface Area.

AnswEr-:

• $\underline{\boxed{\star{\sf{\blue{ \:Total \:Surface \:Area\:of\:Cuboid\:=228m^{2} }}}}}$

EXPLANATION-:

• $\frak{Given \:\: -:} \begin{cases} \sf{The\:Length \:of\:Cuboid \:\:is\:= \frak{9m}} & \\\\ \sf{ The\:Breadth \:of\:Cuboid \:\:is\:\:=\:\frak{6m}}& \\\\ \sf{ The\:Height \:of\:Cuboid \:\:is\:\:=\:\frak{4m}}\end{cases}$

• Figure related to Question-:
• $\setlength{\unitlength}{0.74 cm}\begin{picture}\thicklines\put(5.6,5.4){\bf A}\put(11.1,5.4){\bf B}\put(11.2,9){\bf C}\put(5.3,8.6){\bf D}\put(3.3,10.2){\bf E}\put(3.3,7){\bf F}\put(9.25,10.35){\bf H}\put(9.35,7.35){\bf G}\put(3.5,6.1){\sf 9\:m}\put(7.7,6.3){\sf 6\:m}\put(11.3,7.45){\sf 4\:m}\put(6,6){\line(1,0){5}}\put(6,9){\line(1,0){5}}\put(11,9){\line(0,-1){3}}\put(6,6){\line(0,1){3}}\put(4,7.3){\line(1,0){5}}\put(4,10.3){\line(1,0){5}}\put(9,10.3){\line(0,-1){3}}\put(4,7.3){\line(0,1){3}}\put(6,6){\line(-3,2){2}}\put(6,9){\line(-3,2){2}}\put(11,9){\line(-3,2){2}}\put(11,6){\line(-3,2){2}}\end{picture}$

• $\frak{To \:Find\: -:} \begin{cases} \sf{The\:Total \:Surface \:Area\:of\:Cuboid \:\:}\end{cases}$

$\dag{\sf{\large { Solution:\:}}}$

• $\underline{\boxed{\star{\sf{\blue{ \:Total \:Surface \:Area\:of\:Cuboid\:=2( Length \times Breadth + Breadth \times Height + Length \times Height) square \:units }}}}}$

• $\frak{Here \:\: -:} \begin{cases} \sf{The\:Length \:of\:Cuboid \:\:is\:= \frak{9m}} & \\\\ \sf{ The\:Breadth \:of\:Cuboid \:\:is\:\:=\:\frak{6m}}& \\\\ \sf{ The\:Height \:of\:Cuboid \:\:is\:\:=\:\frak{4m}}\end{cases}$

$\dag{\sf{\large { Now -:\:}}}$

• $\implies{\sf{\large { \:\:2(9\times 6 + 6 \times 4 + 9 \times 4 )\: }}}$
• $\implies{\sf{\large { \:\:2(54 + 6 \times 4 + 9 \times 4 )\: }}}$
• $\implies{\sf{\large { \:\:2(54+ 24 + 9 \times 4 )\: }}}$
• $\implies{\sf{\large { \:\:2(54 + 24 + 36 )\: }}}$
• $\implies{\sf{\large { \:\:2(78+ 36 )\: }}}$
• $\implies{\sf{\large { \:\:2(114 )\: }}}$
• $\implies{\sf{\large { \:\:228m^{2}\: }}}$

$\dag{\sf{\large { Hence-:\:}}}$

• $\underline{\boxed{\star{\sf{\blue{ \:Total \:Surface \:Area\:of\:Cuboid\:=228m^{2} }}}}}$

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