Answer :

To find out how many cubic centimeters are equivalent to 1 cubic decimeter (1 dm³), we need to understand the relationship between these two units of volume.

1. Understanding the units:
- A decimeter (dm) is a metric unit of length.
- A cubic decimeter (dm³) is a unit of volume that represents a cube with sides of one decimeter in length.

2. Conversion from decimeters to centimeters:
- One decimeter is equal to 10 centimeters. This means that each side of a cube that is 1 dm long is also 10 cm long.

3. Calculating the volume in cubic centimeters:
- Since we are dealing with a cube, we calculate the volume by multiplying the length of the sides in centimeters.
- A cube with each side of length 10 cm has a volume calculated as follows:
[tex]\[ \text{Volume} = \text{side length} \times \text{side length} \times \text{side length} = 10 \, \text{cm} \times 10 \, \text{cm} \times 10 \, \text{cm} \][/tex]

4. Performing the multiplication:
- The calculation becomes:
[tex]\[ 10 \times 10 \times 10 = 1000 \][/tex]

So, 1 cubic decimeter (1 dm³) is equivalent to 1000 cubic centimeters (1000 cm³).

Other Questions