Cube-shaped box

Design the size of the smallest possible cube-shaped box where three types of 3cm, 5cm, 6cm small cubes could be stacked to make full use of the box space (each type of cube separately). Can you find out how many smallest cubes are in the box?

Result

a =  30 cm
b =  1000

Solution:

Solution in text a =
Solution in text b =







Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Following knowledge from mathematics are needed to solve this word math problem:

Do you want to calculate least common multiple two or more numbers? Tip: Our volume units converter will help you with the conversion of volume units.

Next similar math problems:

  1. Cube corners
    2cube The wooden cube with edge 64 cm was cut in 3 corners of cube with edge 4 cm. How many cubes of edge 4 cm can be even cut?
  2. Cube basics
    krychle_2 How long is the edge length of a cube with volume 23 m3?
  3. Aquarium
    akvarko Aquarium is cube with edge 45 cm. How much water can fit in there?
  4. Volume of cube
    cubes2_1 Solve the volume of a cube with width 26cm .
  5. Cube 7
    krychle_4 Calculate the volume of a cube, whose sum of the lengths of all edges is 276 cm.
  6. Cube edges
    cubes3_3 If the edge length of the cube increases by 50%, how does the volume of this cube increase?
  7. Calculate 3
    cube_sphere_in_1 Calculate the cube volume whose edge is 3x-1,3x-1,3x-1
  8. Cube in ball
    sphere2 Cube is inscribed into sphere of radius 241 cm. How many percent is the volume of cube of the volume of sphere?
  9. Edges or sides
    cube_shield_4 Calculate the cube volume, if the sum of the lengths of all sides is 276 cm.
  10. LCM of two number
    numbers2_19 Find the smallest multiple of 63 and 147
  11. Apples 2
    jableka How many minimum apples are in the cart, if possible is completely divided into packages of 6, 14 and 21 apples?
  12. LCM
    numbers_11 Common multiple of three numbers is 3276. One number is in this number 63 times, second 7 times, third 9 times. What are the numbers?
  13. 3 buses
    buses At morning 5:00 am three buses started from one place. The first travel in five-minute intervals, the second at 10-minute intervals and the third at 25-minute intervals. At what hour will again be the three buses coming from the same place?
  14. Biketrial
    cyklo Kamil was biketrial. Before hill he set the forward gear with 42 teeth and the back with 35 teeth. After how many exercises (rotation) of the front wheel both wheels reach the same position?
  15. Dance ensemble
    dancers_1 The dance ensemble took the stage in pairs. During dancing, the dancers gradually formed groups of four, six and nine. How many dancers have an ensemble?
  16. Volume of ball
    ball1_5 Find the volume of a volleyball that has a radius of 4 1/2 decimeters. Use 22/7 for π
  17. Buses
    buses_london At the bus stop is at 10 o'clock met buses No. 2 and No. 9. Bus number 2 runs at an interval of 4 minutes and the bus number 9 at intervals of 9 minutes. How many times the bus meet to 18:00 local time?