Question

how many planks of size 2 m * 25 cm * 8 cm can be prepared from a wooden block 5 m long, 70 cm broad and 32 cm thick, assuming that there is no wastage?

Answer 1

Hello Mate!

1. See what the units are. Whether they are same? Obviously, there is m in in between cm.


2. "Assuming there is no wastage" mean that whole volume has been used.

Coming onto the solution,

Volume of any cuboid = lbh

Volume of wooden plank = 2 × 100 cm × 25 cm × 8 cm

= 200 × 25 × 8 cm³

= 40000 cm³

Volume of wooden block = 5 × 100 cm × 70 cm × 32 cm

= 500 × 70 × 32 cm³

= 1120000

Now, no. of bricks that can be used = 1120000/40000

Or

= ( 112 × 10⁴ )/( 4 × 10⁴ )

= 28

Hence 28 bricks are the requirement

Have great future ahead!

Answer 2

Volume of any cuboid = Length × breadth × height

Volume of wooden plank

= 2 × 100 cm × 25 cm × 8 cm

= 200 × 25 × 8

= 40000 cm³

Volume of wooden block

= 5 × 100 cm × 70 cm × 32 cm

= 500 × 70 × 32

= 1120000

Now, no. of bricks that can be used

= $\bf\huge\frac{1120000}{40000}$

= $\bf\huge\frac{112\times10^4}{4\times10^4}$

= 28

Here :-

28 bricks