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Home Aptitude Volume and Surface Area See What Others Are Saying!
  • Question
  • Three cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find half of the surface area of the new cube.?


  • Options
  • A. 243 sq cm
  • B. 463 sq cm
  • C. 486 sq cm
  • D. 293 sq cm

  • Correct Answer
  • 243 sq cm 

    Explanation

    Volume (new cube) = (13 + 63 + 83 ) = 729 cm3
    a3 = 729
    ? a = ? 729
    ? Surface area of the new cube = 6a2
    = 6 x 92 = 486 sq cm
    Surface area/2 = 486/2 = 243 sq cm


  • More questions

    • 1. 
      The number of ways in which a committee of 3 ladies and 4 gentlemen can be appointed from a group consisting of 8 ladies and 7 gentlemen, if Mrs. X refuses to serve in a committee if Mr. Y is its member, is

    • Options
    • A. 1960
    • B. 3240
    • C. 1540
    • D. None of these
    • Discuss
    • 2. 
      The present worth of a sum due some times hence is Rs. 576 and the banker's gain is Re. 1. The true discount is?

    • Options
    • A. Rs. 16
    • B. Rs. 18
    • C. Rs. 24
    • D. Rs. 32
    • Discuss
    • 3. 
      How many necklaces of 12 beads can be made from 18 beads of various colours?

    • Options
    • A. [118 x 13!] / 2
    • B. [110 x 14! ] / 2
    • C. [119 x 13!] / 2
    • D. [110 x 12!] / 2
    • Discuss
    • 4. 
      A man rows downstream 60 km and upstream 36 km, taking 4 hours each time. The speed of the man is :

    • Options
    • A. 15 km/h
    • B. 16 km/h
    • C. 8 km/h
    • D. 12 km/h
    • Discuss
    • 5. A vessel is filled with liquid, 3 parts of which are water and 5 parts of syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

    • Options
    • A. 1/3
    • B. 1/4
    • C. 1/5
    • D. 1/7
    • Discuss
    • 6. 
      A sailor sails a distance of 48 km along the flow of a river in 8 h. If it takes 12 h to return the same distance, then the speed of the flow of the river is?

    • Options
    • A. 0.5 km/h
    • B. 1 km/h
    • C. 1.5 km/h
    • D. 2 km/h
    • Discuss
    • 7. Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

    • Options
    • A. 1:3
    • B. 2:3
    • C. 3:4
    • D. 4:5
    • Discuss
    • 8. Three bottles of equal capacity have mixture of milk and water in ratio 5 : 7, 7 : 9 and 2 : 1 respectively. These three bottles are emptied into a large bottle. What is the percentage of milk in the new mixture?

    • Options
    • A. 49.6
    • B. 52.3
    • C. 51.2
    • D. 50.7
    • Discuss
    • 9. 
      A man has given one -fourth part of his property to his daughter half part to his sons and one fifth part given as charity. How much part of his his property he has given?

    • Options
    • A. 1/20
    • B. 19/20
    • C. 1/10
    • D. 9/10
    • Discuss
    • 10. The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.

    • Options
    • A. 30Π m2
    • B. 40Π m2
    • C. 60Π m2
    • D. 80Π m2
    • Discuss


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