Solution: First cut will divide the cube in 2 parts. The second cut along perpendicular direction will double the number of parts to 4, now the 3rd cut will also be in perpendicular direction which will double the 4 parts to 8. So totally 8 cubes can be formed with 3 cuts.
What is the maximum possible number of pieces into which a cube can be cut by 20 cuts *?
For maximum number of pieces cuts has to be 6, 7 and 7 and maximum number of pieces is (6 + 1)(7 + 1)(7 + 1) = 7 x 8 x 8 = 448. Minimum number of pieces is 20 + 1 = 21.
What is the maximum number of identical pieces a large cube can be cut into by 4 cuts?
What is the maximum number of identical pieces a cube can cut into by 4 cuts? 10.
What is the maximum number of pieces into which a cube can be cut by 16 cuts?
So, total 12 cubes can be formed.
What is the least number of cuts required?
Answer: 11 cuts. Step-by-step explanation: The solution to this question is pretty easy first of all we have to see how many identical pieces are required.
What is the least number of cuts required to cut a cube into 120?
120 can be divided into product of prime numbers as 2*2*2*3*5. Each prime number term represents the number of cuts in a direction. Let in x-direction be-8, in y direction be 3 and in z direction be 5. So total number of minimum cuts required is 7+2+4=13.
What is the maximum number of identical pieces a cube can be cut into by 10 cuts?
Answer: We will be able to cut up a cube into (maximally *) 8^5 = 2^15 = 32,768 smaller cubes of identical size. This is more than the intuitive cutting of 5 cuts in each of the three main directions, which gives only 6^3 = 216 identical cubes.
What is the least number of cuts required to cut the cube into 24 identical pieces?
The solution: You can do it in a minimum of 6 cuts. Each face of the center cube must be cut once, and you can’t possibly cut 2 faces of the same cube at the same time. Therefore, you need all 6 cuts to separate the 24 cubes.
What is the least number of cuts required to cut a cube into 100 identical pieces?
What is the least number of cubes?
15x18x21 = 5670 __ 5670 / 3³ = 210 minimum number of cubes.
What is the least number of cuts required to cut a cube?
∴ minimum 9 cuts have to be made to get 60 identical pieces.
What is the least number of cuts required to cut a cube into 100?
What’s the maximum number of cuts on a cube?
For maximum number of pieces cuts has to be 6, 7 and 7 and maximum number of pieces is (6 + 1) (7 + 1) (7 + 1) = 7 x 8 x 8 = 448. Minimum number of pieces is 20 + 1 = 21. If total number of pieces (Smaller cubes/cuboids) is 45 then find the possible number of cuts.
How many cubes can be cut from side 3 cm?
Along 9cm we can fit 9/3 = 3 cubes perfectly. Along 6 cm we can fit 6/3 = 2 cubes perfectly. So taking these numbers we can cut a total of 3 x 3 x 2 = 18 cubes from this cuboid. A cuboidal piece of 1 cm x 9cm x 6cm will be left unused. By using volume. Let’s assume that ’n’ cubes can be cut out from the cuboid.
How to calculate the total number of cubes?
Now, to compute number of cubes, we know total volume of cuboid and can find volume of one cube (since side is already calculated). So, total number of cubes is equal to (volume of cuboid)/ (volume of cube) i.e (l * b * h)/ (x * x * x). Below is implementation of this approach: // cuboid into cubes. // Print the maximum side and no of cube.
How to divide cuboid into minimum number of cubes?
Given the length, breadth, height of a cuboid. The task is to divide the given cuboid in minimum number of cubes such that size of all cubes is same and sum of volumes of cubes is maximum. Input : l = 2, b = 4, h = 6 Output : 2 6 A cuboid of length 2, breadth 4 and height 6 can be divided into 6 cube of side equal to 2.
