Three cubes of equal volume are joined end to end. Find…

Three cubes of equal volume are joined end to end. Find the surface area of the resulting cuboid if the diagonal of the cube is $6\sqrt{3 } cm$

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 504 cm².

Diagonal of the cube $a\sqrt{3 } cm$ = $6\sqrt{3 } cm$

a = 6 cm

So, the length of the cuboid = 3 × 6 = 18

Breadth of the cuboid = 6 cm

Height of the cuboid = 6 cm

Surface area of the cuboid = 2(lb + bh + lh)

= 2(108 + 36 + 108) = 2 × 252 = 504

SSC CGL 2022 PYQ — Question 62