The cube, the edges of which are equal to 3 cm, was cut into cubic centimeters. How many of them did you get?

| August 24, 2021 | education

The cube, the edges of which are equal to 3 cm, was cut into cubic centimeters. How many of them did you get? How many cubic centimeters will turn out when cutting a cube with 4cm edges? 6cm?

1. Imagine that we cut a cube into 3 equal parts, the parameters of such parts will be 1 cm * 3 cm * 3 cm. A cubic centimeter has parameters of 1 cm * 1 cm * 1 cm, that is, in one part of the cut cube there will be 9 cubes of 1 see There are 3 such parts in total, then:

9 * 3 = 27 cubes with an edge of 1 cm.

2.With an edge of 4 cm, we do all the same actions, only divide into 4 parts. We get in one such part 16 cubes with an edge of 1 cm.Then:

16 * 4 = 64 cubes with an edge of 1 cm.

3. Using the same system, we find the number of cubes with an edge of 1 cm in a cube with an edge of 6 cm:

36 * 6 = 216 cubes with an edge of 1 cm.



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