Question

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

(a) Both cube and cuboid are painted

(b) Only cube can be painted

(c) Only cuboid can be painted

(d) Neither cube nor cuboid can be painted

Answer 1

Answer is : (a) Both cube and cuboid are painted

We have,

Edge of cube = 2 cm

∴ Total surface area of cube

= 6 (side)² = 6(2)² = 24 cm²

Length, breadth and height of cuboid are 1, 2 and 3 respectively

Total surface area of cuboid

Total surface area of both cube and cuboid is 24+22 = 46

which is less than 54 cm².

∴ Both cube and cuboid can be painted.