Math Problem Statement
7.) (5 pts. each) Show your work for each problem.
a.) Convert: 7 m^2 = _______ mm^2
b.) Convert: 228 mL = _______ L
Solution
Let's solve each part.
Part (a)
Convert to .
To go from meters to millimeters in area, each meter needs to be converted twice due to the squared units:
- 1 meter = 1000 millimeters (1 m = mm).
- Therefore, .
Now, multiply by :
Answer for (a):
Part (b)
Convert to liters (L).
Using the metric conversion, , so:
Answer for (b):
Would you like further details on these conversions or have any questions?
Related Questions:
- How would you convert square centimeters to square meters?
- How many cubic centimeters are in a cubic meter?
- What is the volume in liters of 1000 milliliters?
- How does converting cubic units differ from converting square units?
- If 1 liter = 1000 milliliters, how would you express 500 milliliters in liters?
Tip: When converting squared or cubic units, remember to apply the conversion factor for each dimension separately. For example, converting m² to cm² requires squaring the factor for m to cm.
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Math Problem Analysis
Mathematical Concepts
Metric Unit Conversion
Area Conversion
Volume Conversion
Formulas
1 m = 1000 mm, therefore 1 m^2 = (1000 mm)^2 = 10^6 mm^2
1 L = 1000 mL, therefore 228 mL = 228 / 1000 L
Theorems
-
Suitable Grade Level
Grades 6-8