IXL | Convert square and cubic metric units of length

Convert:

cubic millimeters = 1 cubic centimeter

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Learn with an example

question

Convert:

1,000 cubic millimeters = cubic centimeters

key idea

1 centimeter (cm) = 10 millimeters (mm)

solution

Start with the given quantity, 1,000 cubic millimeters:

1,000 mm³

Next, write a conversion factor to convert millimeters to centimeters. Make sure the conversion factor has millimeters in the denominator so that the units cancel properly. Since the units are cubed, multiply by the conversion factor three times.

1,000 mm	³

1 cm

10 mm

1 cm

10 mm

1 cm

10 mm

Now simplify:

1,000 mm	³

1 cm³

1,000 mm³

Multiply the conversion factors

1,000 mm	³

1 cm³

1,000 mm³

Cancel mm³

1 cm³

Divide

1,000 cubic millimeters = 1 cubic centimeter

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