Math Problem Statement
Convert a density of 0.987 g/mL to the SI unit for density, which is kg/m3.
Solution
To convert a density from grams per milliliter (g/mL) to kilograms per cubic meter (kg/m³), we follow these conversion steps:
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Convert grams to kilograms:
. -
Convert milliliters to cubic meters:
.
Conversion calculation:
Given:
.
Convert to kilograms per cubic meter (kg/m³):
Final Answer:
The density is .
Would you like more details or have any questions?
Here are five related questions for practice:
- How would you convert 1.5 g/mL to kg/m³?
- What is the density of water in kg/m³ if it is 1 g/mL?
- Convert 1200 kg/m³ to g/mL.
- If a substance has a density of 0.8 g/mL, what is it in kg/m³?
- How would you convert 2.3 kg/L to kg/m³?
Tip: Always ensure consistency in units when converting—especially between different volume measures like milliliters and cubic meters.
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Math Problem Analysis
Mathematical Concepts
Unit Conversion
Density
Metric System
Formulas
1 g/mL = 1000 kg/m³
Density (ρ) = mass/volume
Theorems
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Suitable Grade Level
Grades 9-12