Multiple choice

A cuboid has uniform cross-section with length, breadth and height are $2, 3$ and $4 cm$ respectively, then calculate the volume and lateral surface area of a cuboid.

  1. $volume = 24 cm^{3}$, $area = 40 cm^{2}$
  2. $volume = 23 cm^{3}$, $area = 40 cm^{2}$
  3. $volume = 24 cm^{3}$, $area = 20 cm^{2}$
  4. $volume = 14 cm^{3}$, $area = 30 cm^{2}$
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A Correct answer
Explanation

Volume = l * b * h = 2 * 3 * 4 = 24 cm^3. Lateral Surface Area = 2 * h * (l + b) = 2 * 4 * (2 + 3) = 8 * 5 = 40 cm^2.

AI explanation

Using the volume of a cuboid formula, we calculate V = length * breadth * height = 2 * 3 * 4 = 24 cubic cm. The lateral surface area of a cuboid formula is 2h(l + b), which gives 2 * 4 * (2 + 3) = 40 square cm. The volume is 24 cubic cm and the lateral surface area is 40 square cm.

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