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A cube has each edge 2 cm and cuboid is 1 cm long, 2 cm wide and 3 cm high. The paint in a certain container is sufficient to paint area equal to 54 cm². Which of the following is correct?

Question and options

A cube has each edge 2 cm and cuboid is 1 cm long, 2 cm wide and 3 cm high. The paint in a certain container is sufficient to paint area equal to 54 cm². Which of the following is correct?
  1. Only cube can be painted.
  2. Only cuboid can be painted.
  3. Both cube and cuboid can be painted.
  4. Neither cube nor cuboid can be painted.

Answer and explanation

Correct answer: C - Both cube and cuboid can be painted.
Cube SA = 6 x 4 = 24 cm^2; cuboid SA = 2(2+6+3) = 22 cm^2. Each is less than 54, and even together (46) they fit, so both can be painted.

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