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# Converting Cubic Inches to Cubic Centimeters

## Worked Unit Conversion Example Problem

Volume of small objects may be expressed in cubic inches or cubic centimeters.

Uwe Hermann
This example problem demonstrates how to convert cubic inches to cubic centimeters.

Problem:

Many small car engines have an engine dispacement of 151 cubic inches. What is this volume in cubic centimeters?

Solution:

1 inch = 2.54 centimeters

First, convert to cubic measurements

(1 inch)3 = (2.54 cm)3
1 in3 = 16.387 cm3

Second, convert to cubic centimeters

Set up the conversion so the desired unit will be cancelled out. In this case, we want cubic centimeters to tbe the remaining unit.

volume in cm3 = (volume in in3) x (16.387 cm3/1 in3)
volume in cm3 = (151 x 16.387) cm3
volume in cm3 = 2474.44 cm3

A 151 cubic inch engine dispaces 2474.44 cubic centimeters of space.
##### Chemistry Homework Resources

Anne Marie Helmenstine, Ph.D.