Correct Answer - Option 2 : 12 m
Given:
Length of the cuboid = 17 m
Height of the cuboid = 3 m
The lateral surface area of the cuboid is 174 sq m
Formula used:
Lateral surface area of cuboid (i.e. area of the 4 walls of a cuboid) = 2h(l + b)
Where l → length
b → breadth
h → height
Calculations:
The area of the 4 walls of a cuboid = 2h(l + b)
2h(l + b) = 174
⇒ 2 × 3 × (17 + b) = 174
⇒ b = 29 – 17 = 12 m
∴ The breadth of the cuboid is 12 m.