Rectangular prism, volume formulas 

Volume of Rectangular Shapes

• General Formula for Volume

  • The formula for finding the volume of any three-dimensional rectangular shape is given by:

  • $V = l imes w imes h$

  • Where:

  • $V$ represents the volume,

  • $l$ represents the length,

  • $w$ represents the width,

  • $h$ represents the height.

• Example Calculation

  • To illustrate the use of the volume formula, consider a rectangular prism with the following dimensions:

  • Length: $7 ext{ cm}$

  • Width: $5 ext{ cm}$

  • Height: $2 ext{ cm}$

  • Utilizing the formula:

  • $V = 7 imes 5 imes 2$

  • First, multiply the length and width:

    • $7 imes 5 = 35$

  • Then multiply the result by the height:

    • $35 imes 2 = 70$

  • Therefore:

    • $V = 70 ext{ cubic centimeters}$

• Unit of Measurement

  • The volume is expressed in cubic centimeters, indicated as:

  • $cm^3$ or cubic centimeters

• Conclusion

  • The formula $V = l imes w imes h$ allows for easy calculation of the volume for any three-dimensional rectangular shape, specifically demonstrated with a rectangular prism example where the volume was calculated to be $70 ext{ cm}^3$.