Multiple choice

Find ratio of the lateral surface area and total surface area of a cuboid of length $80$cm ,breadth $40$ cm and height $20$ cm

  1. $\dfrac {3}{14}$
  2. $\dfrac {5}{13}$
  3. $\dfrac {14}{23}$
  4. $\dfrac {7}{3}$
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A Correct answer
AI explanation

The lateral surface area of a cuboid is two times height times the sum of length and breadth, so the area is two times twenty times eighty plus forty, giving four thousand eight hundred square centimeters. The total surface area is two times the sum of the products of length times breadth, breadth times height, and length times height, so it is two times eighty times forty plus forty times twenty plus eighty times twenty, giving eleven thousand two hundred square centimeters. The ratio of the lateral surface area to the total surface area is four thousand eight hundred divided by eleven thousand two hundred, which simplifies to three by fourteen.

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