386,564 views
17 votes
17 votes
Answer the following questions about a cube that is 4 cm on a side made of four differentcolored-red, blue, green, and yellow--layers, from top to bottom respectively, of smaller cubes that are 1 cm on a side.1) How many cubes of each color are in the large cube? How do you know?2) How many of the faces of the large cube are a single color? Which faces are they as the cube currently sits and what color are those faces? How do you know?

User Ivan Ivanic
by
2.7k points

1 Answer

20 votes
20 votes

A cube that is 4 cm on a side made of four differents with

smaller cubes that are 1 cm on a side.

(1) Each cubes of colours for the large cube is


\frac{4\operatorname{cm}}{1\operatorname{cm}}=4

(2) A cube has sides of equal length and each vertex forms a right angle between the edges. If we observe the following cube, we can see that it has 6 faces,12 edges, and 8 vertices.

( i ) The faces of the large cube in a single colour is 6

( ii ) The faces as the cube currently sits are adjacent

(iii) The colour of the faces are red and yellow.

(iv) Red will be on top and Yellow will be at the bottom.



User Minakshi
by
3.0k points