This used to confuse me before it dawned on me. As this is a cubed equation (distance by distance by distance), the answer is not simply 100.
In a metre there are 100cm
In a metre squared there are 10,000cm2 (100x100)
In a metre cubed there are 100x100x100, i.e. 1,000,000 cm3
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1 cu m = 1 million cu cm
1 m = 100 cm
1 cu m = 1 m x 1 m x 1 m = 100 cm x 100 cm x 100 cm = 1,000,000 cm
1 meter = 100 centimeters
(1 meter)3 = (100 centimeters)3
(1)3 (meter)3 = (100)3 (centimeters)3
1 meter3 = 1,000,000 centimeters3 (one million)