Question

A cube measuring 6cm a side is painted red, and then cut up into 216 smaller cubes each 1 cm cubed in volume. How many of the smaller cubes are painted on exactly one surface.

Answer 1

To find out how many smaller cubes are painted on exactly one surface, divide the total number of smaller cubes by the number of smaller cubes on each surface of the large cube.

Step-by-step explanation:

To find out how many of the smaller cubes are painted on exactly one surface, we need to determine how many cubes are on the surface of the large cube.

A cube has 6 surfaces, so each surface will have 6 smaller cubes.

Since the large cube has a side length of 6 cm, each surface will have a length of 6 cm.

Therefore, there are 6 x 6 = 36 smaller cubes on each surface.

Since the large cube has a total of 216 smaller cubes, we can divide by 36 to find out how many surfaces there are. 216 ÷ 36 = 6

Therefore, there are 6 surfaces x 36 smaller cubes per surface = 216 smaller cubes painted on exactly one surface.

Answer 2

216 cm^3.

Step-by-step explanation:

All cubes on the external sides with only a single surface exposed to the paint can be ... If this cube is cut into 216 equal small cubes, how many small cubes will have no ... So let's find out first all cubes which have at least one face coloured ... Let us consider a cube having each side of 6cm then it's volume will be 216 cm^3.