Posted by avinash kumar on Thursday, August 25, 2011 at 6:35am.
a cube painted on its six faces and then it is cut into 4913 smaller cubes of equal size
how many cubes are painted only on one face
hw many cubes are painted only 2faces

math  drwls, Thursday, August 25, 2011 at 6:59am
4913 is 17 cubed. There are 17^2 = 289 small squares visible on each face.
6x15^2 = 1350 are painted on one side only.
Fifteen cubes along each of the 12 edges are painted on two sides. That makes 180
The eight at corners are painted on three sides.
4913  1350  180  8 = 3375 are not painted at all. That happens to be 15 cubed.

maths  Damon, Thursday, August 25, 2011 at 7:01am
(4913)^(1/3) = 17
so this big cube is 17 of the little ones on a edge. That means 6*17*17 = 1734 are on the outside and would be painted on one side except that the ones on the edges are painted on at least two sides so it is really 6*15 *15 = 1350
Only the ones along the 12 edges (excluding the 8 corner cubes which are painted on three face) are painted on two faces. Therefore 15*12

maths  Damon, Thursday, August 25, 2011 at 7:03am
Whew, we agree :)
Answer This Question
Related Questions
 math  a large cube is built from centimeter cube. faces of large cube are ...
 Counting and Probability  (a) A cube is painted red on all six sides, then cut ...
 math  a cube is painted blue,then cut into 27 smaller cubes.how many of the ...
 math  A large cube is built from centimeters cubes. The faces of the large cube...
 Maths  A rectangular block that is 12 cm x 8 cm x 5 cm is made by stacking ...
 Geometry, Cubes  The surface of a cube is painted red and blue, 3 sides of each...
 problem of the week  Imagine one large cube made of 1000 white centimeter cubes...
 jim chavani high  A cubic block of wood is painted various colours on all the ...
 Math  Mrs. Jones had some white paint and some green paint, and a bunch of ...
 math PLEASE HELP ME  Mrs. Jones had some white paint and some green paint, and ...
More Related Questions