Question

The volume of a cube of side 1 cm is equal .............. metre³

Answer 1

Answer:

The volume of a cube of side 1 cm is equal to 1 * 10 ^ ( - 6 ) metre³

Information provided to us:

Each side of cube = 1 cm

To find:

Volume of the cube in cubic metre

Solution:

To obtain our answer in cubic metre, we must convert the measure of each side into ' metre '.

We know, 1 cm = 0.01 m

Therefore,

Each side of cube = 0.01 m

We know that volume of a cube is equal to the cube of the measure of each of its side.

Hence,

Volume of cube = ( 0.01 ) ^ 3

Volume of cube = 0.000001 cubic metre

We can also write it as,

Volume of the cube = 1 * 10 ^ ( - 6 )

Answer 2

Hi.

Side of cube = 1 cm

Volume of cube in cm³ = 1*1*1 = 1 cm³

Now, 1 cm = 1/100 m

Multiplying both sides by 1 cm

1 cm * 1 cm = 1/100 m * 1/100 m

Again Multiplying both sides by 1 cm

1 cm * 1 cm * 1 cm = 1/100 m * 1/100 m * 1/100 m

or, 1 cm³ = 1/1000000 m³ = 1 * 10⁻⁶ m³

Hope it helps.