Question

A block of wood is 75cm *50*40cm. How many cubes of side 0.1 m can be covered
it​

Answer 1

Answer:

Answer: 150 cubes of side 0.1 m can be carved out of it.

Answer 2

Good morning ☺️

Answer:

150 cubes of side 0.1 m can be carved out of it.

Step-by-step explanation:

Given a block of wood is 75 cm \times 50 cm \times 40 cm75cm×50cm×40cm

i.e, Volume of block of wood = 150,000 cm^3150,000cm

3

Convert 150,000 cm^3150,000cm

3

in m^3m

3

Use conversion: 1 cm^3 = 0.000001 m^31cm

3

=0.000001m

3

then,

150,000 cm^3150,000cm

3

= 150,000 \times 0.000001 =0.15 m^3150,000×0.000001=0.15m

3

so, the volume of block of wood = 0.15 m^30.15m

3

Cube of side 0.1 m have the volume = 0.1 \times 0.1 \times 0.1 = 0.001 m^30.1×0.1×0.1=0.001m

3

then,

Number of cubes = \frac{Volume of block of wood}{volume of cube}

volumeofcube

Volumeofblockofwood

∴ number of cubes = \frac{0.15}{0.001} = \frac{15 \times 1000}{1 \times 100} =150

0.001

0.15

=

1×100

15×1000

=150

therefore, 150 cubes of side 0.1 m can be carved out of it.

Hope it's helpful ☺️