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

### Problem

Many small car engines have an engine displacement 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 in^{3} = 16.387 cm^{3}

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 cm^{3} = (volume in in^{3}) x (16.387 cm^{3}/1 in^{3})

volume in cm^{3} = (151 x 16.387) cm^{3}

volume in cm^{3} = 2474.44 cm^{3}

Third, convert to liters

1 L = 1000 cm^{3} 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 cm^{3}) x (1 L/1000 cm^{3})

volume in L = (2474.44/1000) L

volume in L = 2.474 L

### Answer

A 151 cubic inch engine displaces 2.474 liters of space.