Question

Find the TSA and LSA of cuboid , length 5cm, breadth 4cm, height 2cm
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Answer 1

Given :-

• A cuboid length 5cm, breadth 4cm, height 2cm

To find :-

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

Solution :-

• Length of cuboid = 5cm

• Breadth of cuboid = 4cm

• Height of cuboid = 2cm

As we know that

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

Where " l " is length , " b" is breadth and " h " is height.

Now, according to the question

→ Lateral surface area of cuboid

→ 2(l + b)h

Put all the values

→ 2(5 + 4) × 2

→ 2 × 9 × 2

→ 4 × 9

→ 36cm²

Total surface area of cuboid

→ 2(lb + bh + lh)

→ 2(5 × 4 + 4 × 2 + 5 × 2)

→ 2(20 + 8 + 10)

→ 2 (30 + 8)

→ 2 × 38

→ 76cm²

Hence,

• Lateral surface area of cuboid is 36cm²

• Total surface area of cuboid is 76cm²

Answer 2

Answer:

$\tt {\pink{Given}}\begin{cases} \sf{\green{Length \: of \: cuboid = 5 \: cm}}\\ \sf{\blue{Breadth \: of \: cuboid =4 \: cm}}\\ \sf{\orange{Height \: of \: cuboid = 2 \: cm}}\end{cases}$

___________________

❍ Total Surface area of cuboid :

$:\implies\sf TSA = 2 (LB + BH + HL)$

$:\implies\sf TSA = 2 (5 \times 4 + 4 \times 2+ 2 \times 5)$

$:\implies\sf TSA = 2 (20 + 8 + 10)$

$:\implies\sf TSA = 2 (38)$

$:\implies \underline{ \boxed{\sf TSA = 76 \: cm^{2}}}$

______________________

❍ Lateral Surface area of cuboid :

$:\implies\sf CSA = 2 (Length + Breadth ) \times Height$

$:\implies\sf CSA = 2 (5 + 4 ) \times 2$

$:\implies\sf CSA = 2 \times 9\times 2$

$:\implies \underline{ \boxed{\sf CSA = 36 \: {cm}^{2}}}$