Question

A 5cc cube is painted on all its sides. if is sliced into 1 cc cubes, how many 1 cc will have exactly one of its sides painted

Answer 1

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Answer 2

Answer:

The required answer is 54.

Step-by-step explanation:

Given : A 5 cm cube is painted on all its sides. if is sliced into 1 cm cubes.

To find : How many 1 cm will have exactly one of its sides painted?

Solution :

A cube has six sides.

The side of the cube is 5 cm.

Area of the cube is $A=s^2$

$A=5^2=25cm^2$

Each side will have  25  one cubic centimeter cubes painted.

If is sliced into 1 cm cubes .

Then all the cubes on sides and corners will have painted sides more than one as they share with adjoining sides and only  have 3 cm side.

The area painted is $A=3^2=9cm^2$

Now, there are 6 sides

The 1 cm will have exactly one of its side painted is

$9\times 6=54$

Therefore, The required answer is 54.