SSC CGL Model Paper 11

Question : 60 of 100

Marks: +1, -0

What is the total surface area of the identical cubes of largest possible volume that are cut from a cuboid of size 84 cm × 21 cm × 63 cm ?

Solution:

Length of required cube = HCF of 84, 21 and 63 = 21
Number of cube forms

={84×21×63}/{21×21×21}=12

Required surface area

=12×6a^2

=12×6×21^2

= 31,752

\cm^2

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