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A cube is painted red and then cut into 216 little cubes all of the same size how many of the little cubes have 6 red faces 5 red faces 4 red faces 3 red faces 2 red faces 1 red face?
Draw a three dimensional cube, showing three faces. Divide each face into 6 x 6 =36 squares, representing the faces of the little cubes. Then by inspection it is obvious that no little cube can have more then three painted faces and they will be at the eight corners. Only the edge cubes (not counting the corners) can have two painted faces and there are 48 of then. Finally, only the inner cubes on the surfaces will have one painted face and there are 96 of them. The other 64 cubes are in the inner core and will have no painted surfaces. SO: 6 = 0 ; 5 = 0; 4 =0 ; 3 = 8 ; 2 = 48 ; 1 = 96 . uuuuuu.....
How many small cubes will have paint on three faces if each cube is 3 inches and painted and cut into 27 smaller cubes that are 1 inch on each side?
Answer = 8. The only small cubes with paint on three faces are those that occupied the corners of the original cube.
A cube is painted red and then cut into 64 little cubes all of the same size how many of the little cubes have 6 red faces 5 red faces 4 red faces 3 red faces 2 red faces 1 red face?
This is kind of neat. I drew a three dimensional cube. Then divided the faces into 16 squares per face. Then started counting which of those little cubes would have a painted face. I get: 1 red face - 24 cubes 2 red faces - 24 cubes 3 red faces - 8 cubes 4, 5, & 6 red faces - 0 cubes
A rectangular solid is painted and then sliced into 54 cubes how many of the resulting cubes have no faces painted one face painted two faces painted three faces painted?
It depends on how the rectangular solid is built. If the side of a cube is "a", then your original solid could be a x a x 54a, or a x 2a x 27a, or 2a x 3a x 9a or one of quite a few others, and the answer depends on the one you specify.
A cube is painted red and cut into 64 cubes how many have 6 red faces 5 red faces 4 red faces 3 red faces 2 red faces 1 red face?
There would be 8 will 3 faces painted red, 24 with 2 faces painted red, 24 with 1 face painted red, and 8 that have no faces painted red.
If a 4inch cube is painted on all the sides If it is cut into 1 inch cubes how many cubes are not painted at all?
0 sides are not painted! So all the cubes have three faces painted!
A cube of 3x3x3 is painted from all the 6 faces If you cut the cube in 27 equal cubes of 1x1x1 then how many cubes will be painted from exactly 2 faces?
8
A cube is painted red and then cut into 216 little cubes all of the same size how many of the little cubes have 6 red faces 5 red faces 4 red faces 3 red faces 2 red faces 1 red face?
Draw a three dimensional cube, showing three faces. Divide each face into 6 x 6 =36 squares, representing the faces of the little cubes. Then by inspection it is obvious that no little cube can have more then three painted faces and they will be at the eight corners. Only the edge cubes (not counting the corners) can have two painted faces and there are 48 of then. Finally, only the inner cubes on the surfaces will have one painted face and there are 96 of them. The other 64 cubes are in the inner core and will have no painted surfaces. SO: 6 = 0 ; 5 = 0; 4 =0 ; 3 = 8 ; 2 = 48 ; 1 = 96 . uuuuuu.....
How many small cubes will have paint on three faces if each cube is 3 inches and painted and cut into 27 smaller cubes that are 1 inch on each side?
Answer = 8. The only small cubes with paint on three faces are those that occupied the corners of the original cube.
How many faces would need to be painted if there were 43 cubes?
Assuming all faces need to be painted, the question can be written as "how many faces on 43 cubes." There are 6 faces on each cube. Thus the answer can be got from the multiplication 43x6. Doing this gives us 258, so the number of faces that would need to be painted is 258.
Built a large cube from cubes the large cube had 3 small cubes along each edge he painted the 6 faces of the large cube then he took it apart so it was broken up into small cubes how many cubes paint?
All the little cubes except the one at the middle will have 1, 2 or 3 faces with paint on them, ie 26 of them will have some paint on them: 0 faces painted - 1 cube 1 face painted - 6 cubes (the centre ones of each side) 2 faces painted - 12 cubes (the ones in the centre of where two sides meet) 3 faces painted - 8 cubes (the ones in the corners).
A cube is painted red and then cut into 64 little cubes all of the same size how many of the little cubes have 6 red faces 5 red faces 4 red faces 3 red faces 2 red faces 1 red face?
This is kind of neat. I drew a three dimensional cube. Then divided the faces into 16 squares per face. Then started counting which of those little cubes would have a painted face. I get: 1 red face - 24 cubes 2 red faces - 24 cubes 3 red faces - 8 cubes 4, 5, & 6 red faces - 0 cubes
A rectangular solid is painted and then sliced into 54 cubes how many of the resulting cubes have no faces painted one face painted two faces painted three faces painted?
It depends on how the rectangular solid is built. If the side of a cube is "a", then your original solid could be a x a x 54a, or a x 2a x 27a, or 2a x 3a x 9a or one of quite a few others, and the answer depends on the one you specify.
WhatThere are 27 small cubes arranged in a 3 by 3 by 3 cube The top and sided of the larger cube are painted red How many of the 27 small cubes have 0 faces painted 1 face 2 faces 3 faces 4 faces?
I am assuming that your question states that the top and sides are painted red but the bottom isn't. If so, the answer is:- There are no cubes with 4 faces painted, the most that can be painted is 3 for the ones on the corners. There are 4 corners at the top of the cube that will have their top and 2 sides painted. Therefore there are 4 cubes with 3 painted. The cubes at the corners on the second and third row down will have 2 faces painted, as will the middle cubes on the top row so there are 12 of them in this puzzle. The cube in the middle of each painted face will have just one face painted so this is 5 (assuming the bottom isn't painted). The cubes in the middle of the bottom row will also have one face painted. This brings the total to 9 That is the total of cubes that have paint on them... 4+12+9 = 25 There are 27 cubes in your puzzle so only 2 have no painted faces. The cube right in the middle and the cube in the middle of the bottom layer.
A cube painted blue on all the faces is cut into 125 cubes of equal size then how many cubes are not painted on any face?
54
A cube is painted red and cut into 64 cubes how many have 6 red faces 5 red faces 4 red faces 3 red faces 2 red faces 1 red face?
There would be 8 will 3 faces painted red, 24 with 2 faces painted red, 24 with 1 face painted red, and 8 that have no faces painted red.
How many vertices do 2 three dimensional cubes have?
Two cubes have 12 faces, 24 edges, and 16 vertices.
