# 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?

Correct result:

a =  30 cm
b =  1000

#### Solution:

$b=\left(30\mathrm{/}3{\right)}^{3}=1000$

We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!

Tips to related online calculators
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:

• Volume of cube
Solve the volume of a cube with width 26cm .
• Volume of the cone
Find the volume of the cone with the base radius r and the height v. a) r = 6 cm, v = 8 cm b) r = 0,9 m, v = 2,3 m c) r = 1,4 dm, v = 30 dm
• Aquarium
Aquarium is cube with edge 45 cm. How much water can fit in there?
• LCM of two number
Find the smallest multiple of 63 and 147
• Biketrial
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?
• Edges or sides
Calculate the cube volume, if the sum of the lengths of all sides is 276 cm.
• Cube corners
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?
• The edge of a cube
How much does the edge of a cube of 54.9 cm3 measure?
• Dance ensemble
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?
• LCM
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?
• Trams 2
Square passes two lines of tram. One running every nine minutes, a second interval of 15 minutes. Exactly at 12 o'clock arrived two tram lines in the square. How soon should a similar situation arise again?
• Volume of ball
Find the volume of a volleyball that has a radius of 4 1/2 decimeters. Use 22/7 for π
• Cube 3
How many times will increase the volume of a cube if we double the length of its edge?
• Calculate 3
Calculate the cube volume whose edge is 3x-1,3x-1,3x-1
• Cubes - diff
Second cubes edge is 2 cm longer than the edge of the first cube. Volume difference blocks is 728 cm3. Calculate the sizes of the edges of the two dice.
• Apples 2
How many minimum apples are in the cart, if possible is completely divided into packages of 6, 14 and 21 apples?
• Cube in ball
Cube is inscribed into sphere of radius 181 dm. How many percent is the volume of cube of the volume of sphere?