Perform the following conversions: (f) 0.02500 ft 3 to cm 3 .

Hi everyone here we have a question telling us to convert 455 centimeters cubed, two inches cube. So we need to remember that one inch equals 2. cm so 400 55 centimeters cubed times one inch Over 2.54 cm. And this whole fraction is cubed and our centimeters cubed are canceling out, And that equals 0.8 inches cubed. And that is our final answer. Thank you for watching. Bye.

Ch.1 - Introduction: Matter, Energy, and Measurement

Brown - Chemistry: The Central Science 14th Edition

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Brown 14th Edition

Ch.1 - Introduction: Matter, Energy, and Measurement

Problem 57f

Chapter 1, Problem 57f

Perform the following conversions: (f) 0.02500 ft³ to cm³.

Verified step by step guidance

Identify the conversion factors needed: 1 foot = 30.48 cm.

Since the volume is in cubic feet, cube the conversion factor: (30.48 cm/1 ft)^3.

Multiply the given volume in cubic feet by the cubed conversion factor to convert to cubic centimeters.

Set up the equation: 0.02500 ft^3 * (30.48 cm/1 ft)^3.

Calculate the result to find the volume in cm^3.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another. This involves using conversion factors, which are ratios that express how many of one unit are equivalent to another. For example, to convert cubic feet to cubic centimeters, one must know the relationship between feet and centimeters, specifically that 1 foot equals 30.48 centimeters.

Volume Measurement

Volume is a measure of the amount of space an object occupies, typically expressed in cubic units. In this case, the volume is given in cubic feet (ft³), which is a three-dimensional measurement. Understanding how to manipulate these units is essential for accurately converting between different volume measurements, such as from cubic feet to cubic centimeters.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert units by multiplying by conversion factors that cancel out the original units. This method ensures that the final answer is in the desired units. In the conversion from cubic feet to cubic centimeters, one would multiply the volume in cubic feet by the appropriate conversion factor to achieve the result in cubic centimeters.