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Volume of Prisms and Cylinders

Learn how to find the volume of prisms and cylinders using formula V=B×hV = B \times h, where BB is the area of the base and hh is the height. Let's get started! 🚀

Volume of Prisms and Cylinders - introduction visual

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Volume formulas for prisms and cylinders showing the equation V = B × h, where B is the base area and h is the height.Calculating the volume of a triangular prism using the formula V = B × h, with base dimensions 4 cm by 3 cm, and height 5 cm, resulting in 30 cm³.Volume calculation of a cylinder with a radius of 2 cm and height of 5 cm, using the formula V = B × h. The final volume is approximately 62.8 cm³.

🛎️ Volume of Prisms and Cylinders

  • The volume of any prism or cylinder is V=B×hV = B \times h
  • BB is the area of the base, and hh is the perpendicular height

🛎️ Finding the Volume of a Prism

  • First, find the area of the base (e.g., area of the triangle)
  • Then multiply this area by the height of the prism (i.e., the distance between the two parallel faces)

🛎️ Finding the Volume of a Cylinder

  • The base of a cylinder is a circle, so B=πr2B = \pi r^2
  • Multiply BB by the height of the cylinder to get the volume: V=πr2hV = \pi r^2 h

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