Identical cubes of largest possible size are cut from a solid cuboid of size 65 cm × 26 cm × 3.9 cm. What is the total surface area (in cm2 ) of all the small cubes taken together?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 30420
Side of cube = HCF(65, 26 and 3.9) = 1.3 cm
Number of cubes = (65 × 26 × 3.9)/(1.3 × 1.3 × 1.3) = 3000
TSA of all smaller cube = 3000 × 6 × (1.3)2 = 30420 cm2