Technically, there are zero cubic decimeters in one meter, since a decimeter measures volume and a meter measures length. There are 10 decimeters in one meter, and there are 1000 cubic decimeters in one cubic meter.
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1 cubic decimeter is 1000 cubic centimeter. 1 cubic centimeter is 1/1000 or 0.001 cubic decimeter.
The question should be how many centimetres cubed in a decimetre cubed as a decimetre is 10 centimetres. A decimetre cubed is therefore 10cm x 10cm x 10cm = 1000 centimetres cubed.