How to Calculate Rectangular Prism Volume
Comprehensive guide to calculating rectangular prism volumes with examples and practical applications.
Understanding how to calculate the volume of a rectangular prism (also called a cuboid or box) is important for various applications in mathematics, engineering, and everyday life.
Rectangular Prism Volume Formula
V = l × w × h
Where:
- V = Volume
- l = Length
- w = Width
- h = Height
Step-by-Step Guide
- Identify the dimensions
Measure the length, width, and height of the rectangular prism.
- Use the correct formula
Apply the volume formula V = l × w × h.
- Calculate the result
Multiply the three dimensions together to find the volume.
- Verify your answer
Check that your final volume is in cubic units (e.g., cm³, m³, in³).
Example Calculation
Problem: Calculate the volume of a rectangular box with length 8 cm, width 5 cm, and height 3 cm.
Given: l = 8 cm, w = 5 cm, h = 3 cm
Solution:
- Apply the formula: V = l × w × h
- Substitute the values: V = 8 × 5 × 3
- Compute the result: V = 120 cm³
Answer: The volume is 120 cubic centimeters (cm³).
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