Question

# From a cylindrical wooden log of length 30 cm and base radius 72 cm, biggest cuboid of square base is made. Find the volume of wood wasted?

Hint:

### Look at the diagram. Observe that AC is the diameter of the base of the wooden log. With this hint, we find *a* and subtract the volume of square cuboid from the volume of log to solve the problem.

## The correct answer is: The volume of wood wasted

### Explanations:

Step 1 of 3:

In ,

AC is the diameter of the wooden log base, therefore AC = 2 x 72 = 144 cm

Step 2 of 3:

For wooden log, base radius r = 72cm and height h = 30cm

So, the volume of the wooden log = cm^{3}

For square cuboid, side a = cm

Then, the volume of the cuboid = cm^{3}

Step 3 of 3:

The

is cm^{3}. volume of the wood wasted is given by,

Log volume – cuboid volume

Final Answer:

The volume of wood wasted

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