The total surface area of a cuboid of length 6 m and breadth 5 m is 148 sq. m. Find its height.

Given, the length of a cuboid = 6 m

the breadth of a cuboid = 5 m

Let the height of a cuboid = h 

The total surface area of a cuboid = 148 m²

⟹ 2(lb + bh + hl) = 148

⟹ 2[(6 × 5) + (5 × h) + (h × 6)] = 148

⟹ 2(30 + 5h + 6h) = 148

⟹ 30 + 11h = 74

⟹ 11h = 74 - 30

⟹ h = $\frac{44}{11}$

⟹ h = 4 m

Hence, the height of a cuboid is 4 m.