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 c...........

Quantitative Aptitude ( CCS) Mensuration 3D

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 correct ?

Both cube and cuboid can be painted

Only cube can be apinted

Only cuboid can be painted

Neihter cube nor cuboid can be painted

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Explanation:

Given that, side of cuboid (a) = 2 cm
And, length of cuboid (l) = 1 cm, breadth of cuboid (b) = 2 cm and height of cuboid (h) = 3 cm
Now, Total surface area of both cube and cuboid = surface area of cube + surface area of cuboid
= 6a² + 2(lb + bh + hl)
= 6 × (2)² + 2(1×2 + 2×3 + 3×1)
= 24 + 22 = 46 cm² < 54 cm²
Hence, both cube and cuboid can be painted.