Math, asked by brinda4652, 10 months ago

Minimum number of cuts required to cut a cube into 45 identical pieces

Answers

Answered by efimia

Answer:

11 cuts.

Step-by-step explanation:

The factors of 45 is 3×3×5.

Minimum no of cuts required is 3+3+5=11.

First we cut 3cut on the surface.

Then we cut another three cut on the same surface but perpendicular to the first cuts.

Then we cut another 5 cuts parallel to the first surface.

In all the cuts spacing between them should be equal to get identical pieces.

Answered by amitnrw

Step-by-step explanation:

We have a cube and we want to cut into 45 identical pieces

Let say cube Has Dimension 1 * 1 * 1 cm

then each piece will have 1/45 cm³

Different possible combination :

1/45 = 1/1 * 1/1 * 1/45

1/45 = 1/1 * 1/3 * 1/15

1/45 = 1/1 * 1/5 * 1/9

1/45 = 1/3 * 1/3 * /5

1/45 = 1/3 * 1/3 * /5 will required minimum

cut

2 cuts will give size 1/3 , 1/3 & 1/3

2 cut perpendicularly again will give size 1/3 , 1/3 & 1/3

4 cuts will give on another Surface Equal size of 1/5

Hence 2 + 2 + 4 = 8 Cuts Required

8 number of cuts required to cut a cube into 45 identical pieces