Question

Find the lateral surface area and the total surface area of a cuboid whose dimensions are 26m,14m and 6.5m.

Answer 1

Answer:

lateral surface area of cuboid=2(l+b)h

l=26m,b=14m,h=6.5m

LSA=2(26+14)6.5

=2×40×6.5

=520

Lateral surface area of cuboid =520m

Total surface area of cuboid =2(lb+bh+hl)

l=26m, b=14m, h=6.5m

TSA= 2(26×14+14×6.5+6.5×26)

=2×624

=1248

Total surface area of cuboid =1248m

Answer 2

$\huge{\underline{\pink{\tt{Given,}}}}$

• Length = 26 m
• Breadth = 14 m
• Height = 6.5 m

$\huge{\underline{\pink{\tt{To \ Find,}}}}$

• Lateral Surface Area = ?
• Total Surface Area = ?

$\huge{\underline{\pink{\tt{Formula \ Used :}}}}$

• Lateral Surface Area of a Cuboid  = 2(l + b) × h
• Total Surface Area of a Cuboid = 2(lb + bh + hl)

$\huge{\underline{\pink{\tt{Solution :}}}}$

║First Case : ║

$\longrightarrow \sf{Lateral\:Surface\:Area\:of\:a\:Cuboid = 2(l + b) \times h }$

Now Put the Value in this Formula :

$\implies \sf{2(26 + 14) \times 6.5}$

$\implies \sf{ 2 \times 40 \times 6.5}$

$\implies \boxed{\sf{520 cm^{2}}}$

Therefore,

$\underline{\boxed{\sf{\red{L.S.A = 520 cm^{2}}}}}$

║Second Case : ║

$\longrightarrow \sf{Total\:Surface\:Area\:of\:a\:Cuboid = 2(lb + bh + hl)}$

Now Put the Value in this Formula :

$\implies \sf{2(26 \times 14 + 14 \times 6.5 + 26 \times 6.5)}$

$\implies \sf{2(364 + 91 + 169)}$

$\implies \sf{2 \times 624}$

$\implies \boxed{\sf{1248 m^{2}}}$

Therefore,

$\underline{\boxed{\sf{\red{T.S.A = 1248 m^{2}}}}}$

$\rule{200}2$