10-5 Volume of Prisms and Cylinders

1
10-5 Volume of Prisms and Cylinders

• In todays lesson we will go over many different
  terms. The terms we will cover are polyhedron,
  faces, bases, prism, solid and volume. We will
  also add two more formulas to our list.

2
Polyhedrons

• A polyhedron is a figure formed of polygonal
  parts (different shape polygons). These different
  shape are called the faces. A prism is a
  polyhedron with two parallel congruent faces
  which are called the bases of the figure. Prisms
  are names according to their bases. The
  perpendicular distance between the two bases is
  the height of the figure.

3
Volume of Prism

• The polyhedron together with the region inside it
  is called a solid. The measure of the space
  occupied, or inside it, is called the volume of
  the solid.
• The formula for the volume of any prism is
• V Bh
• B is the base area (area of the base of the
  prism)
• h height of the prism (the perpendicular
  distance between the two bases)

4
Volume of a Cylinder

• A cylinder is like a prism except that its bases
  are circles instead of polygons. The volume of a
  cylinder is
• V ?r2h

5
Capacity

• The volume of a container is often called its
  capacity. The capacity of fluids is usually
  measured in liters (L) or milliliters (mL). To
  take our volume and convert it to capacity we
  will use the following conversions
• 1 L 1000 cm3
• 1mL 1 cm3
• 1 m3 1000 L

6
Volume of a Prism

• Calculate the volume of this triangular prism.

7
Volume of a Cylinder

• Calculate the volume of this cylinder (round your
  answers to three places).