Question: is 1 liter equal to 1 cubic decimeter

Answer: Yes, The litre (SI spelling) or liter (American spelling) (symbols L or l, sometimes abbreviated ltr ) is an SI accepted metric system unit of volume equal to 1 cubic decimetre (dm), 1,000 cubic centimetres (cm) or 1/1,000 cubic metre. A cubic decimetre (or litre) occupies a volume of 10 cm×10 cm×10 cm (see figure) and is thus equal to one-thousandth of a cubic metre.