Question

A block of wood is in the form of a cube, its edge is 4 km. How many rectangular pieces of dimension 20 cm x 10 cm x 5 cm can be cut from the block?.​

Answer 1

Volume of the cubical block = (4km)³ = 216 km³ = 216*10¹⁵ cm³

Volume of rectangular piece = 20cm*10cm*5cm = 1000 cm³

No. of rectangular pieces = 216*10¹⁵ cm³ ÷ 10³ cm³ = 216*10¹²

Hence, 216*10¹² rectangular pieces of wood can be cut

Answer 2

Step-by-step explanation:

Question :-

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

4 km. How many rectangular piece of

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

from the block?

Solution :

Given :-

• Cube edge :- 4 km.
• Rectangular piece of dimension :- 10 cm 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 km

But we have to convert first into cm.

We know ,

$1 \: km = 100000 \: cm$

So, 4 km =

$4 \: km = 100000 \times 4$

$= 400000 \: cm$

•° So , volume of cube

$= 400000 \times 400000 \times 400000$

• Now , Volume of rectangular piece

$= 20 \times 10 \times 5$

→ Numbers of block :

$\frac{400000 \times 400000 \times 400000}{20 \times 10 \times 5}$

Cut of zeros .

$\frac{400000 \times400000 \times4000 }{2 \times 1 \times 5}$

Now , cut off 40000 by 5 to get 80,000

And then , cut of 80,000 by 2 to get 40,000

•° We have ,

16000000

Answer : 16,00000 blocks can be cut from it.