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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Ch.1 - Matter, Measurement & Problem Solving
Chapter 1, Problem 100c
A bedroom has a volume of 115 m3. What is its volume in each unit? a. km3 b. dm3 c. cm3
Verified step by step guidance1
Identify the conversion factors needed for each unit: 1 m^3 = 1,000,000 cm^3, 1 m^3 = 1,000 dm^3, and 1 km^3 = 1,000,000,000 m^3.
To convert from m^3 to cm^3, multiply the volume in m^3 by 1,000,000.
To convert from m^3 to dm^3, multiply the volume in m^3 by 1,000.
To convert from m^3 to km^3, divide the volume in m^3 by 1,000,000,000.
Apply these conversion factors to the given volume of 115 m^3 to find the volume in each unit.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Volume Units
Volume is a measure of the space occupied by an object and can be expressed in various units. Common units include cubic meters (m³), cubic centimeters (cm³), and cubic kilometers (km³). Understanding how to convert between these units is essential for solving problems related to volume.
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Constant-Volume Calorimetry
Unit Conversion
Unit conversion involves changing a quantity expressed in one unit to another unit. For volume, this requires knowing the relationships between different units, such as 1 m³ = 1,000,000 cm³ and 1 km³ = 1,000,000,000,000 cm³. Mastery of these conversions is crucial for accurately expressing volume in different contexts.
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Dimensional Analysis
Dimensional analysis is a mathematical technique used to convert between units by multiplying by conversion factors. This method ensures that the units cancel appropriately, leading to the desired unit. It is a powerful tool in chemistry and physics for solving problems involving measurements and conversions.
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Related Practice
Textbook Question
A house has an area of 195 m2. What is its area in each unit? a. km2 b. dm2 c. cm2
2
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Textbook Question
A house has an area of 195 m2. What is its area in each unit? a. km2 b. dm2 c. cm2
2
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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
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
An acetaminophen suspension for infants contains 80 mg/0.80 mL suspension. The recommended dose is 15 mg/kg body weight. How many mL of this suspension should be given to an infant weighing 14 lb? (Assume two significant figures.)
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