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# Converting Cubic Inches to Liters

## Worked Unit Conversion Example Problem

This example problem demonstrates how to convert cubic inches to liters.

Problem:

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

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

Third, convert to liters

1 L = 1000 cm3 Set up the conversion so the desired unit will be cancelled out. In this case, we want liters to tbe the remaining unit.

volume in L = (volume in cm3) x (1 L/1000 cm3)
volume in L = (2474.44/1000) L
volume in L = 2.474 L

A 151 cubic inch engine dispaces 2.474 liters of space.

##### Chemistry Homework Resources

Anne Marie Helmenstine, Ph.D.