If the length, breadth, and total surface area of a cuboid are 30 cm, 20 cm, and 2600 cm2, respectively, then find its height.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 14 cm.
2(lb + bh + hl) = 2600
⇒ 2[(30 × 20) + (20 × h) + (h × 30)] = 2600
⇒ 2(600 + 20h + 30h) = 2600
⇒ (600 + 50h) = 1300
⇒ 50h = 700
⇒ h = 700/50 = 14 cm