SSC CPO SI and ASI Model Paper 10

Question : 120 of 200

Marks: +1, -0

Find the volume of the cuboid whose edges are in the ratio 1 : 2 : 3 and surface area is 352

cm^2.

Solution:

(4) Let the edges of the cuboid be xcm, 2x cm and 3x cm.
Surface area of cuboid

= 2(lb + bh+ hl) = 2(2x^2 + 6x^2 + 3x^2)

⇒2(2x^2 + 6x^2 + 3x^2) = 352 cm^2

⇒22x^2 = 352

⇒x = 4

∴Required volume of cuboid

= l ×b × h = x × 2x × 3x = 4 × 8 × 12 =384 cm^3

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