How many cubic decimeters are in 1000 cubic decimeters?

To understand why the correct answer is 1 cubic meter, it's essential to examine the relationship between different units of volume.

One cubic decimeter (dm³) is defined as the volume of a cube that measures 1 decimeter on each side. When you have 1000 cubic decimeters, you're actually dealing with a cube that measures 10 decimeters on each side (since 1 dm³ × 1000 = 1000 dm³).

Now, 1 cubic meter (m³) is the volume of a cube that measures 1 meter on each side. Since there are 10 decimeters in a meter, a cubic meter can also be expressed in terms of cubic decimeters as follows:

1 m³ = (10 dm) × (10 dm) × (10 dm) = 1000 dm³.

Thus, when you convert 1000 cubic decimeters to cubic meters, you're left with exactly 1 cubic meter.

This clear relationship underlines that 1000 cubic decimeters equals 1 cubic meter, making it the correct and precise answer among the options provided.