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Ch.1 - Matter, Measurement & Problem Solving
Tro - Chemistry: A Molecular Approach 6th Edition
Tro6th EditionChemistry: A Molecular ApproachISBN: 9780137832217Not the one you use?Change textbook
All textbooksTro 6th EditionCh.1 - Matter, Measurement & Problem SolvingProblem 103c
Chapter 1, Problem 103c

A house has an area of 195 m2. What is its area in each unit? a. km2 b. dm2 c. cm2

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1
Convert the area from square meters to square kilometers by using the conversion factor: 1 km^2 = 1,000,000 m^2. Divide the given area in m^2 by 1,000,000.
Convert the area from square meters to square decimeters by using the conversion factor: 1 m^2 = 100 dm^2. Multiply the given area in m^2 by 100.
Convert the area from square meters to square centimeters by using the conversion factor: 1 m^2 = 10,000 cm^2. Multiply the given area in m^2 by 10,000.
Ensure that each conversion is done correctly by checking the units and conversion factors.
Summarize the converted areas in km^2, dm^2, and cm^2.

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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 unit to another unit. In this case, it involves converting the area of a house from square meters (m²) to other area units such as square kilometers (km²), square decimeters (dm²), and square centimeters (cm²). Understanding the relationships between these units is essential for accurate conversion.
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Area Measurement

Area measurement quantifies the extent of a two-dimensional surface. It is typically expressed in square units, such as square meters, which represent the area of a square with sides of one meter. Knowing how to calculate and express area in different units is crucial for applications in real estate, architecture, and land use.
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Metric System

The metric system is a decimal-based system of measurement used globally, which includes units such as meters, liters, and grams. It is organized in powers of ten, making conversions straightforward. Familiarity with the metric system is important for understanding how to convert between different units of area, as it provides a consistent framework for measurement.
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Related Practice
Textbook Question

The average U.S. farm occupies 435 acres. How many square miles is this? (1 acre = 43,560 ft2, 1 mile = 5280 ft)

Textbook Question

A house has an area of 195 m2. What is its area in each unit? a. km2 b. dm2 c. cm2

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Textbook Question

A gas can holds 25.0 gal of gasoline. Express this quantity in cm3.

Textbook Question

A house has an area of 195 m2. What is its area in each unit? a. km2 b. dm2 c. cm2

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Textbook Question

Total U.S. farmland occupies 954 million acres. How many square miles is this? (1 acre = 43,560 ft2, 1 mi = 5280 ft). Total U.S. land area is 3.537 million square miles. What percentage of U.S. land is farmland?

Textbook Question

A bedroom has a volume of 115 m3. What is its volume in each unit? a. km3 b. dm3 c. cm3

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