Question

A cube has dimensions of 0.60 meters on each side. what is the volume of the cube in liters?

Answer 1

To find the volume of a cube in liters, you multiply the length of an edge of the cube in meters by itself three times to get cubic meters, and then convert to liters knowing that 1 m³ is equivalent to 1,000 liters. The volume of a cube with 0.60-meter sides is 216 liters.

Step-by-step explanation:

To calculate the volume of a cube with dimensions of 0.60 meters on each side, we can use the formula for the volume of a cube: V = a³, where 'V' represents volume and 'a' is the length of an edge of the cube. Since we are looking for the volume in liters, we need to convert cubic meters to liters knowing that 1 m³ = 1,000 dm³ and 1 dm³ = 1 L.

So, the volume in cubic meters is:

V = 0.60 m × 0.60 m × 0.60 m = 0.216 m³

Now, convert cubic meters to liters:

0.216 m³ = 0.216 × 1,000 L = 216 L

Therefore, the volume of the cube is 216 liters.

Answer 2

The relation of Liters and meters cubed is as follows:


`1L=1dm^3`, where 1 dm is 10 cm that is 0.1 m.



`(1dm)^3=(0.1m)^3=0.001m^3`


thus:
`1L=0.001m^3`, this means that
`1m^3=1000L`




The volume of a cube with side length x is
`V=x^3`.


Thus, the volume of a cube with dimensions 0.60 m is
`V=0.6^3=0.216(m^3)=0.216\cdot 1000L=216 L`


Answer: 216L