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Home Aptitude Volume and Surface Area Comments

  • Question
  • A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes.


  • Options
  • A. 30
  • B. 40
  • C. 10
  • D. 20

  • Correct Answer
  • 40 

    Explanation

    Volume of the block = (6 x 12 x 15) cu.cm = 1080 cu.cm 

    Side of the largest cube = H.C.F. of 6 cm, 12 cm, 15 cm 

                                       = 3 cm.

     

    Volume of this cube  = (3 x 3 x 3) cu.cm = 27 cu.cm 

    Number of cubes = 1080 27  = 40.


  • Volume and Surface Area problems


    Search Results


    • 1. A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:

    • Options
    • A. 12 pi cub.cm
    • B. 15 pi cub.cm
    • C. 16 pi cub.cm
    • D. 20 pi cub.cm
    • Discuss
    • 2. How many cubes of 3cm edge can be cut out of a cube of 18cm edge

    • Options
    • A. 36
    • B. 232
    • C. 216
    • D. 484
    • Discuss
    • 3. If each edge of a cube is increased by 50%, find the percentage increase in Its surface area

    • Options
    • A. 125%
    • B. 150%
    • C. 175%
    • D. 110%
    • Discuss
    • 4. The true discount on Rs.1600 due to after a certain of 5% per annum is Rs.160. The time after which it is due is

    • Options
    • A. 27months
    • B. 23months
    • C. 20months
    • D. 12months
    • Discuss
    • 5. Find the present worth of a bill of Rs.28000 due 2 years at 12% compound interest. Also find the true discount.

    • Options
    • A. 300
    • B. 350
    • C. 250
    • D. 275
    • Discuss
    • 6. A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:

    • Options
    • A. 720
    • B. 900
    • C. 1200
    • D. 1800
    • Discuss
    • 7. A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:

    • Options
    • A. 49
    • B. 50
    • C. 53.5
    • D. 55
    • Discuss
    • 8. How many bricks each measuring 25cm x 11.25cm x 6cm, will be needed to build a wall 8m x 6m x 22.5m

    • Options
    • A. 5600
    • B. 600
    • C. 6400
    • D. 7200
    • Discuss
    • 9. How many cubes of 10cm edge can be put in a cubical box of 1m edge

    • Options
    • A. 10
    • B. 100
    • C. 1000
    • D. 10000
    • Discuss
    • 10. The surface area of a cube is 1734 sq. cm. Find its volume

    • Options
    • A. 2334 cubic.cm
    • B. 3356 cubic.cm
    • C. 4913 cubic.cm
    • D. 3478 cubic.cm
    • Discuss


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