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RPF Sub-Inspector (Executive) 2019 · Question 74 of 82

A cube of 13√3 cm diagonals is melted to a cuboid. If the length of the cuboid is similar to the back of the cube and the width is 6.5 cm, then what will be the height of the cuboid?

  1. A32 cm ixamBee Offers Online Course for Preparation of RBI Gr. SEBI Gr. A, NABARD Gr. A/B exams For Free Demo, visit www.ixamBee.com or Contact us at 9205524028 (SMS/WhatsApp/call) RPF SI Previous Year Paper 06-Jan-2019
  2. B28 cm
  3. C24 cm
  4. D26 cm .Correct

Answer: D. 26 cm .

Explanation

As we know, a ix Volume of cube = a³ Volume of cuboid = lbh The diagonal of the cube = √3 a . √3 a =13√3 a = 13 cm Length of the cuboid, = 13 cm Let the height of the cuboid be h cm. Width of the cuboid, = 6.5 cm According to the question 13 6.5 h = 13 13 13 h = (13 13 13)/ (13 6.5) h = 26 cm

Source: RPF SI Previous Year Paper 06-Jan-2019 — answer key & detailed solutions (ixambee PDF) · reliable-secondary

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