Multiple choice

If a water tank needs one litre paint for every 16 metre square, how much paint is required for painting the outer surface of the tank 12 x 4 x 3 m?

  1. 16 litre

  2. 15 litre

  3. 12 litre

  4. 10 litre

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The surface area of a rectangular tank is 2(lw + lh + wh). For dimensions 12, 4, and 3, the area is 2(12*4 + 12*3 + 4*3) = 2(48 + 36 + 12) = 2(96) = 192 square metres. Dividing 192 by 16 gives 12 litres of paint required.

AI explanation

Assuming the tank is a closed rectangular box, its total surface area is given by 2 * (lb + bh + lh) = 2 * (12*4 + 4*3 + 12*3) = 2 * (48 + 12 + 36) = 192 m^2. Since one litre of paint covers 16 m^2, the required amount of paint is 192 / 16 = 12 litres. (If the tank is open at the top, the area is 144 m^2, requiring 9 litres, but the provided options indicate a closed tank was intended). The required paint is 12 litres.