Multiple choice

The length and breadth of a cuboidal box are equal. Its height is 6 cm and lateral surface area is 120 cm2. The volume of the box is

  1. 180 cm3

  2. 600 cm3

  3. 150 cm3

  4. 60 cm3
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Length = Breadth = a. Height = 6. Lateral surface area = 2 * (a + a) * h = 4 * a * 6 = 24a. 24a = 120 => a = 5. Volume = a * a * h = 5 * 5 * 6 = 150.

AI explanation

Using the lateral surface area formula for a cuboid, LSA = 2h(l + b), and knowing the length and breadth are equal, we substitute the values to get 120 = 2 * 6 * (l + l). Solving this gives 120 = 24l, so the length and breadth are both 5 cm. The volume of the box is then calculated as V = l * b * h = 5 * 5 * 6 = 150 cm3. The volume is 150 cm3.

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