Respuesta :
Answer
Find out how much of cubes of side 0.1 m can be carved out of it .
To prove
Formula
Volume of a cube = a³
where a is the sides of a cube.
As given
Sides of a cube is 0.1m
As
1 meter = 100 cm
sides of a cube in cm = 0.1 × 100
= 10 cm
put in the formula
Volume of a cube = 10 × 10 × 10
= 1000 cm³
As Given
A Block of the wood is 75cm × 50cm × 40cm .
But as volume of the cube is the multiple of 10 .
thus we take dimensions of the wooden block be 70cm × 50 cm × 40 cm ( instead of 75cm × 50cm × 40cm ) than the volume of the wooden block become the multiple of 10.
Formula
Volume of the wooden block = Length × Breadth × Height
Put the value
Volume of the wooden block = 70 × 50 × 40
= 140000
Let us assume that the number of cubes curved out be x.
Volume of the wooden block = x × volume of cube
140000 = x × 1000
[tex]x =\frac{140000}{1000}[/tex]
x = 140
Therefore the number of cubes curved out from the wooden block are 140.
Answer:
150 cubes of side 0.1 m can be carved out of it.
Step-by-step explanation:
Given a block of wood is [tex]75 cm \times 50 cm \times 40 cm[/tex]
i.e, Volume of block of wood = [tex]150,000 cm^3[/tex]
Convert [tex]150,000 cm^3[/tex] in [tex]m^3[/tex]
Use conversion: [tex]1 cm^3 = 0.000001 m^3[/tex]
then,
[tex]150,000 cm^3[/tex] = [tex]150,000 \times 0.000001 =0.15 m^3[/tex]
so, the volume of block of wood = [tex]0.15 m^3[/tex]
Cube of side 0.1 m have the volume = [tex]0.1 \times 0.1 \times 0.1 = 0.001 m^3[/tex]
then,
Number of cubes = [tex]\frac{Volume of block of wood}{volume of cube}[/tex]
∴ number of cubes = [tex]\frac{0.15}{0.001} = \frac{15 \times 1000}{1 \times 100} =150[/tex]
therefore, 150 cubes of side 0.1 m can be carved out of it.
