Question

Find the lateral surface area, the total surface area and volume of a cuboid whose dimension are : length= 22cm, breadth= 12cm, height= 7.5 cm​

Answer 1

Answer:

lateral surface area = 510cm²and

total surface area = 1038cm²

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Answer 2

Answer :

➥ The lateral surface area of a cuboid = 510 cm²

➥ The total surface area of a cuboid = 1038 cm²

➥ The volume of a cuboid = 1980 cm³

Given :

➤ Length of a cuboid (l) = 22 cm

➤ Breadth of a cuboid (b) = 12 cm

➤ Height of a cuboid (h) = 7.5 cm

To Find :

➤ Lateral surface area of a cuboid = ?

➤ Total surface area of a cuboid = ?

➤ Volume of a cuboid = ?

Solution :

As we know that

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

→ 2(l + b) × h

→ 2(22 + 12) × 7.5

→ 2 × 34 × 7.5

→ 68 × 7.5

→ 510 cm²

Hence, the lateral surface area of a cuboid is 510 cm².

As we know that

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

→ 2(lb + bh + hl)

→ 2(22 × 12 + 12 × 7.5 + 7.5 × 2w)

→ 2(264 + 90 + 165)

→ 2(354 + 165)

→ 2 × 519

→ 1038 cm²

Hence, the total surface area of a cuboid is 1038 cm².

As we know that

Volume of a cuboid = l × b × h $\:$

→ l × b × h

→ 22 × 12 × 7.5

→ 264 × 7.5

→ 1980 cm³

Hence, the volume of a cuboid is 1980 cm³.