Question

(
13. A block of wood is in form a cube its edge is
4 m. How many rectangular piece of
( dimension 10 cm x 20 cm x 5 cm be cut
from the block?​

Answer 1

Step-by-step explanation:

Question :-

13. A block of wood is in form a cube its edge is

4 m. How many rectangular piece of

( dimension 10 cm x 20 cm x 5 cm be cut

from the block?

Solution :

Given :-

• Cube edge :- 4 m.
• Rectangular piece of dimension :- 10 cn x 20 cm x 5 cm.

We know that if 4 m is edge , so it have all sides 4 cm.

Volume of cube = a³

Here given , 4 m .

But we have to convert first into cm.

We know ,

$1 \: m = \: 100 \: cm$

So , 4 m

$4 \: m = 100 \times 4$

$= 400cm$

•° So , volume of cube

$400 \times 400 \times 400$

• Now , Volume of rectangular piece

$= 20 \times 10 \times 5$

→ Numbers of block :

$\frac{400 \times 400 \times 400}{20 \times 10 \times 5}$

• Cut of zeros .

$\frac{400 \times 400 \times 4∅∅}{2∅ \times 1∅ \times 5}$

Now , cut ofr 400 by 5 to get 80.

And then , cut of 80 by 2 to get 40.

We have :

$\frac{400 \times 40}{1 \times 1 \times 1}$

$= 16,000 \: blo$

Answer : 16,000 blocks can be cut from it.