Math Problem Statement
Calculate the volume of a box, in cubic centimeters, which is 423 cm long, 12 cm wide, and 25 cm high. Report your answer with correct significant figures in cubic centimeters.
Solution
To calculate the volume of a box, you can use the formula:
Given:
- Length = 423 cm
- Width = 12 cm
- Height = 25 cm
Now, calculate the volume:
Let's calculate that.The calculated volume of the box is 126,900 cubic centimeters.
To report the answer with the correct significant figures, we should consider the given measurements:
- Length: 423 cm (3 significant figures)
- Width: 12 cm (2 significant figures)
- Height: 25 cm (2 significant figures)
The answer should be reported with the least number of significant figures, which is 2 significant figures. Therefore, the volume should be rounded to 2 significant figures.
The volume of the box is 130,000 cubic centimeters.
Would you like more details or have any questions? Here are five related questions you might find interesting:
- How does the volume change if the height is doubled?
- What is the volume of the box in liters?
- How would you find the surface area of the box?
- What is the volume in cubic meters?
- How would rounding rules affect the answer if different units were used?
Tip: When multiplying measurements with different significant figures, always round your final answer to match the measurement with the fewest significant figures.
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume Calculation
Formulas
Volume of a box formula: Volume = Length × Width × Height
Theorems
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Suitable Grade Level
Grades 6-8
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