Question

Can you work out the surface area of a cuboid with a length of 12cm, width of 6cm and height of 6cm

Answer 1

GIVEN :–

• Length of cuboid = 12cm

• Width of cuboid = 6cm

• Height of cuboid = 6cm

TO FIND :–

• Surface of cuboid = ?

DIAGRAM :–

$\setlength{\unitlength}{6}\begin{picture}(0,0) \put(0,1){\line(0,1){10}}\put(0,1){\line(1,0){20}}\put(20,1){\line(0,1){10}}\put(0,11){\line(1,0){20}}\put(0,11){\line(1,1){5}}\put(20,11){\line(1,1){5}}\put(20,1){\line(1,1){5}}\put(0,1){\line(1,1){5}}\put(5,6){\line(1,0){20}}\put(5,6){\line(0,1){10}}\put(5,16){\line(1,0){20}}\put(25,6){\line(0,1){10}}\put(4.5, - 0.5){ \tt Length = l }\put(11.5,7){ \tt Height = h }\put(21,1){ \tt Width = w }\put(30,10){\framebox{ \tt @Ak14380 }}\end{picture}$

SOLUTION :–

$\\ \: \blacktriangleright \: \large{ \boxed{ \bold{Surface \: \: area \: \: of \: \: cuboid = 2(l.w + w.h +h.l) }}}$

• Now put the values –

$\\ \implies { \bold{Surface \: \: area= 2(12 \times 6 + 6 \times 6 +6 \times 12) }}$

$\\ \implies { \bold{Surface \: \: area= 2(72+36+72) }}$

$\\ \implies { \bold{Surface \: \: area= 2(180) }}$

$\\ \implies \large { \boxed { \bold{Surface \: \: area= 360 \: \: cm^{2}}}}$

IMPORTANT FORMULA :–

$\\ \: \blacktriangleright \: \large{ \boxed{ \bold{Surface \: \: area \: \: of \: \: cuboid = 2(l.w + w.h +h.l) }}}$

$\\ \: \blacktriangleright \: \large{ \boxed{ \bold{Volume \: \: of \: \: cuboid = l.w.h }}}$

Answer 2

✯✯ QUESTION ✯✯

Can you work out the surface area of a cuboid with a length of 12cm, width of 6cm and height of 6cm..

━━━━━━━━━━━━━━━━━━━━

✰✰ ANSWER ✰✰

$\longmapsto\tt{Length(l)=12cm}$

$\longmapsto\tt{Breadth(b)=6cm}$

$\longmapsto\tt{Height(h)=6cm}$

➥Using Formula : -

$\longmapsto\tt{\small{\boxed{\bold{\bold{\blue{\sf{Surface\:Area\:of\:Cuboid=2(lb+bh+hl)}}}}}}}$

➥Putting Values : -

$\longmapsto\tt{2(12\times{6}+6\times{6}+6\times{12)}}$

$\longmapsto\tt{2(72+36+72)}$

$\longmapsto\tt{2(180)}$

$\longmapsto\tt\boxed{360{cm}^{2}}$

☛So , The Surface Area of Cuboid is 360cm²...