Find the number of cubes of side 15 cm that can be cut from a cuboidal log of wood with thedimensions 4.5 m, 330 cm, and 180 cm.

Sure, here are the steps to solve the problem:

1. First, convert all the dimensions into the same unit. In this case, we'll convert meters to centimeters because the side of the smaller cubes is given in centimeters. 1 meter is equal to 100 centimeters. So, 4.5 m = 450 cm.

2. Now, we have the dimensions of the cuboidal log as 450 cm, 330 cm, and 180 cm.

3. The volume of the cuboidal log can be found by multiplying its length, breadth, and height. So, the volume = 450 cm * 330 cm * 180 cm = 26730000 cubic cm.

4. The side of the smaller cubes is given as 15 cm. So, the volume of each smaller cube = 15 cm * 15 cm * 15 cm = 3375 cubic cm.

5. The number of smaller cubes that can be cut from the cuboidal log is the volume of the cuboidal log divided by the volume of each smaller cube. So, the number of smaller cubes = 26730000 cubic cm / 3375 cubic cm = 7920.

So, 7920 cubes of side 15 cm each can be cut from the given cuboidal log.