Question

343 smaller but identical cubes have been put together to form a larger cube. This larger cube is now painted on all 6 faces. How many of the smaller cubes have at least one faces painted?

Answer 1

Explanation:

sorry don't know

and this question dose'nt even mean anything

Answer 2

• We are given that 343 smaller cubes form a big cube
• We have to find number of small cubes with atleast one face painted.
• Since 343 cubes are kept together to form a cube, the cube must be of side length of 7 units, because 7^3=343.
• So, on one particular face, we will have :

       = 7 * 7 cube surfaces

       = 49 cubes with atleast one face painted.

• Similarly for all 6 faces, we will have :

       = 49 * 6

       = 294 cubes.

• But many of these cubes have been counted twice, we will now remove those.
• Along each edge length, and also at corners, we have over counted the number of cubes.
• So, final answer will be :

        = 218 cubes.