Multiple choice

How much area to be painted of the rectangular tank measuring 14 m \times 12 m \times 10 m, if a circular area of radius 1 m is to be left at each surface of the tank?

  1. $871.26 m^{2}$
  2. $883.46 m^{2}$
  3. $893.16 m^{2}$
  4. $837.16 m^{2}$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

First calculate total surface area of rectangular tank: 2(lb + bh + hl) = 2(14×12 + 12×10 + 10×14) = 2(168 + 120 + 140) = 856 m². Each circular cutout has area πr² = π(1)² ≈ 3.14 m². With 6 surfaces, total cutout area = 6 × 3.14 = 18.84 m². Painted area = 856 - 18.84 ≈ 837.16 m².

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