Question

A solid cube of side 9 cm has been painted painted it is then cut into cubical blocks of each side 3cm

Answer 1

3 divide 9 ans 3cubes

Answer 2

Answer:

A solid cube on each side of 9 cm has been painted green, red, and yellow on pairs of opposite faces. It is then cut into a cubical blocks on each side 3 cms. How many cubes have no face painted?

There are $8$ cubes having one face painted red and all other faces unpainted.

Step-by-step explanation:

Concept:

Cube: six-sided solid form with six faces. One of the most basic shapes in three dimensions is the cube. A cube's six faces are all squares, making it a two-dimensional object.

Given:

Each side of the solid cube$=8cm$

Each side of small solid cubes$=2cm$

To find:

We must count the cubes on the faces of the larger cube, except the cubes on the corners, in order to determine how many tiny cubes have one painted face.

Solution:

Total number of cubes having one face painted and another face unpainted

$=6$ × $((\frac{8}{2}) -2)^{2}$

$=6$ × $4$

$=$$24$

However, we must calculate the cubes with only two red-painted faces and one red-painted face.

So, by symmetry,

The required total number of cubes has one face painted red and another face unpainted

$=\frac{24}{3} \\=8$

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