If a rectangular block of dimensions $$6 \times 4 \times 2$$​ cm is converted into small cubes of dimension 1 cm, then how many cubes will be there in total?

Correct option is C

Given:
Dimensions of the rectangular block: 6 cm × 4 cm × 2 cm
Side of each small cube: 1 cm

Formula used:

Volume = Length × Breadth × Height

Solution:

Volume of the rectangular block = 6 × 4 × 2 = 48 cm³

Volume of one small cube = 1 × 1 × 1 = 1 cm3

​$$\text{Total cubes} = \frac{\text{Volume of the rectangular block}}{\text{Volume of one small cube}}$$​​

Total cubes = $$\frac{48}{1}$$​​
​Total cubes = 48.

So, the total number of small cubes is 48.

Thus, the correct answer is (c).