Question

three cubes each of size 6 cm are joined end to end. the surface area of the resulting solid is
a)648cm2 b)216cm2 c)72cm2 d)504cm2​

Answer 1

Answer:

d) 504 cm2

Surface area of 1 side of 1 cube = 6 × 6 = 36 cm2

Total sides = 14

Surface Area = 14 × 36 cm2

= 504 cm2

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Answer 2

Given :-

Three cubes each of size 6 cm are joined end to end

To Find :-

Surface area

Solution :-

There are three cubes. So, total length would be 3(6) = 18 cm

Now

SA of cuboid = 2(lb + bh + lh)

SA of cuboid = 2[(18 × 6) + (6 × 6) + (18 × 6)]

SA of cuboid = 2[(108 + 36 + 108)}

SA of cuboid = 2[252]

SA of cuboid = 504 cm²