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

검증된 단계별 안내

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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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.

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.

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.

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