Ablock of wood is 75 cm × 50 cm × 40 cm. how many cubes of side 0.1 m can be carved out of it?

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

x = 140

Therefore the number of cubes curved out from the wooden block are 140.

step-by-step explanation: