Question

iv) Find the total surface area of the cuboid of length 12 cm.,
breadth 10 cm., height 5 cm.​

Answer 1

Step-by-step explanation:

${\huge{\boxed{\mathcal{\purple{Hello}}}}}$

$\mathrm{length \: of \:the \: cuboid \: (l) = 12cm}$

$\mathrm{breadth \: of \: the \: cuboid \: (b) = 10cm }$

$\mathtt{height \: of \: the \: cuboid \: (h) \: = 5cm}$

total surface area of cuboid ⤵️⤵️

= 2 ( l×b + b×h + h×l)

= 2 ( 12×10 + 10×5 + 5×12)

=2 ( 120+50+60)

=2×230

= 460 cm²

➺ᴛᴏᴛᴀʟ sᴜʀғᴀᴄᴇ ᴀʀᴇᴀ ᴏғ ᴄᴜʙᴏɪᴅ ɪs 460ᴄᴍ²

Hope this helps uh ❤️ :)

$\mathcal{BE \: BRAINLY}$....♡

Answer 2

Answer:

$\large\mathbf \red{\underline{\underline{\maltese{{Given}}}}}$

• Lengh of cuboid = 12 cm
• Breadth of cuboid = 10 cm
• Height of cuboid = 5 cm

$\large\mathbf \red{\underline{\underline{\maltese{{To \: Find }}}}}$

• Total surface area of cuboid

$\large\mathbf \red{\underline{\underline{\maltese{{Using \: Formula}}}}}$

$\circ\underline{\boxed{\sf\pmb{2(lw + lh + wh)}}}$

$\large\mathbf \red{\underline{\underline{\maltese{{Solution }}}}}$

$: \implies{\sf{2(lb+bh+hl)}}$

• Substituting the values

${: \implies{\sf{2 \big((12 \times 10)+ (10 \times 5) + (12 \times 5) \big)}}}$

$: \implies{\sf{2(120+50 + 60 )}}$

$: \implies{\sf{2 \times 230} \:{cm}^{2}}$

$: \implies{\sf{460} \:{cm}^{2}}$

$\circ \underline {\boxed{\sf \pmb{ Total \: surface \: area \: of \: the \: cuboid = 460 \: {cm}^{2} }}}$

• Henceforth,The total surface area of the cuboid is 420 cm²

$\large\mathbf \red{\underline{\underline{\maltese{{Diagram }}}}}$

$\setlength{\unitlength}{0.74 cm}\begin{picture}\thicklines\put(5.6,5.4){\bf A}\put(11.1,5.4){\bf B}\put(11.2,9){\bf C}\put(5.3,8.6){\bf D}\put(3.3,10.2){\bf E}\put(3.3,7){\bf F}\put(9.25,10.35){\bf H}\put(9.35,7.35){\bf G}\put(3.5,6.1){\sf 10\:cm}\put(7.7,6.3){\sf 12\:cm}\put(11.3,7.45){\sf 5\:cm}\put(6,6){\line(1,0){5}}\put(6,9){\line(1,0){5}}\put(11,9){\line(0,-1){3}}\put(6,6){\line(0,1){3}}\put(4,7.3){\line(1,0){5}}\put(4,10.3){\line(1,0){5}}\put(9,10.3){\line(0,-1){3}}\put(4,7.3){\line(0,1){3}}\put(6,6){\line(-3,2){2}}\put(6,9){\line(-3,2){2}}\put(11,9){\line(-3,2){2}}\put(11,6){\line(-3,2){2}}\end{picture}$

• Request :- Please see the answer from website Brainly.in.

$\large\mathbf \red{\underline{\underline{\maltese{{Learn \: More:}}}}}$

• ➟ Volume of cylinder = πr²h
• ➟ T.S.A of cylinder = 2πrh + 2πr²
• ➟ Volume of cone = ⅓ πr²h
• ➟ C.S.A of cone = πrl
• ➟ T.S.A of cone = πrl + πr²
• ➟ Volume of cuboid = l × b × h
• ➟ C.S.A of cuboid = 2(l + b)h
• ➟ T.S.A of cuboid = 2(lb + bh + lh)
• ➟ C.S.A of cube = 4a²
• ➟ T.S.A of cube = 6a²
• ➟ Volume of cube = a³
• ➟ Volume of sphere = (4/3)πr³
• ➟ Surface area of sphere = 4πr²
• ➟ Volume of hemisphere = ⅔ πr³
• ➟ C.S.A of hemisphere = 2πr²
• ➟ T.S.A of hemisphere = 3πr²