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.