Question

The length of a cuboid is 20 cm and ratio of its length, breadth and height is 4 : 2 : 3 respectively. Find the total surface area of the cuboid?
1. 1200 cm²
2. 1060 cm2
3. 1300 cm2
4. 1360 cm2

Answer 1

Correct Answer - Option 3 : 1300 cm2

Given:

Length of the cuboid is 20 cm

Ratio of length, breadth and height of the cuboid is 4 : 2 : 3 respectively

Formula used:

Total surface area of cuboid = 2{(length × breadth) + (breadth × height) + (height × length)}

Calculation:

Ratio of length, breadth and height is given

So, length = 4x = 20 cm

⇒ x = 5 cm

So, breadth = 2x = 10cm

Height = 3x = 15 cm

Total surface area = 2{(length × breadth) + (breadth × height) + (height × length)}

⇒ 2{(20 × 10) + (10 × 15) + (15 × 20)}

⇒ 2(200 + 150 + 300)

⇒ 2 × 650 = 1300 cm²

∴ The total surface area of the cuboid is 1300 cm²