IBPS SO Prelims Exam Model Paper 5

Given:
The total surface area of the cuboid = 1550 cm2
The ratio of its length, breadth and height is 2 ∶ 3 ∶ 5
Formula Used:
The total surface area of the cuboid = 2(lb + bh + lh)
The volume of the cuboid = lbh
Where, l = Length of the cuboid
b = Breadth of the cuboid
h = Height of the cuboid
Calculation:
Let length(l), breadth(b) and height(h) of the cuboid be 2x, 3x and 5x respectively.
According to the question,
2(lb + bh + lh) = 1550
⇒ 2(2x × 3x + 3x × 5x + 5x × 2x) = 1550
⇒ 2(6x2+15x2+10x2) = 1550
⇒ 2 × 31x2 = 1550
⇒ x2 =

1550

62

⇒ x2 = 25
⇒ x = 5
Hence, l = 2x
⇒ 10 cm
b = 3x
⇒ 15 cm
h = 5x
⇒ 25 cm
The volume of the cuboid = lbh
⇒ 10 × 15 × 25
⇒ 3750 cm3
∴ The volume of the cuboid will be 3750 cm3.