Question

find the lateral surface area and total surface area of a cuboid in which l=8cm,b=6cm,h=4cm​

Answer 1

Answer :

• Lateral surface area of cuboid is 112cm²
• Total surface area of cuboid is 208cm²

Given :

• Length = 8cm
• Breadth = 6cm
• Height = 4cm

To find :

• Lateral surface area of cuboid
• Total surface area of cuboid

Solution :

Given,

• Length is 8cm
• Breadth is 6cm
• Height is 4cm

(Lateral surface area of cuboid) :

As we know that,

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

Where , l is length 8cm , b is breadth 6cm and h is height 4cm

》2(l + b)h

》2(8 + 6) × 4

》 2(14) × 4

》28 × 4

》112 cm²

Hence, Lateral surface area of cuboid is 112cm²

(Total surface area of cuboid) :

As we know that,

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

Where , l is length 8cm , b is breadth 6cm and h is height 4cm

》2(lb + bh + hl)

》2((8)(6) + (6)(4) + (4)(8)

》2(48 + 24 + 32)

》2(104)

》 208cm²

Hence , Total surface area of cuboid is 208cm²

• Lateral surface area of cuboid is 112cm²
• Total surface area of cuboid is 208cm²

Answer 2

${\underline{\boxed{\mathcal{\pmb{\quad Solving \quad}}}}}$

• Length surface area of cuboid is 112cm².
• Total surface of area of cuboid is 208cm².

${\underline{\boxed{\mathcal{\pmb{\quad Given : \quad}}}}}$

• Length = 8 cm
• Breadth = 6 cm
• Height = 4 cm

${\underline{\boxed{\mathcal{\pmb{\quad To ~find : \quad}}}}}$

• Lateral surface area of cuboid
• Total surface area of cuboid

${\underline{\boxed{\mathcal{\pmb{\quad Solution : \quad}}}}}$

• Length is 8 cm
• Breadth is 6 cm
• Height is 4 cm

$~~~~~~~~$ (Lateral surface area of cuboid)

★ As we know that,

$\boxed{\bf{ Lateral~surface~area~of~cuboid~=~2(l + b)h}}$

Where,

l is length 8 cm , b is breadth 6 cm and and h is height 4 cm.

:$\bf\green\implies$ 2(l + b)h

:$\bf\blue\implies$ 2(8 + 6) × 4

:$\bf\red\implies$ 2(14) × 4

:$\bf\pink\implies$ 28 × 4

:$\bf\orange\implies$ 112 cm²

Hence,

• Lateral surface area of cuboid is 112 cm² $\huge{\bf\green{✓}}$

$~~~~~~~~$ (Total surface area of cuboid)

★ As we know that,

$\boxed{\bf{ Total~surface~ area ~of cuboid ~= ~2(lb + bh + hl)}}$

Where,

l is length 8 cm , b is breadth 6 cm and h is height 4 cm.

:$\bf\green\implies$ 2(lb + bh + hl)

:$\bf\blue\implies$ 2(8)(6) + (6)(4) + (4)(8)

:$\bf\red\implies$ 2(48 + 24 + 32)

:$\bf\pink\implies$ 2(104)

:$\bf\orange\implies$ 208 cm²

Hence,

• Total surface area of cuboid is 208 cm² $\huge{\bf\green{✓}}$

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• Lateral surface area of cuboid is 112cm²
• Total surface area of cuboid is 208cm²

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