Geometric Solids Volume of Prisms & Cylinders

Polyhedrons One type of geometric solids is a polyhedron A solid with flat faces – each face is a polygon.

3-D Properties Click link

Naming Polyhedrons Polyhedrons are named based on the number of sides – all lateral faces and the base 6 sides 7 sides 10sides

Types of Polyhedrons Regular Polyhedrons Prisms Pyramids

Regular Polyhedron A polyhedron whose faces are identical regular polygons There are 5 convex regular polyhedrons, known as the Platonic Solids

Prisms Has two congruent polygonal base and lateral faces are rectangles Name according to base

Pyramids Has one base and lateral faces are triangles with a common vertex. Name according to the base.

More Geometric Solids Cylinders Some examples:

More Geometric Solids Cones Some examples:

More Geometric Solids Spheres Some examples:

Volume of Prism Click link below Volume – the measure of the amount of space contained in a solid Let’s take a look at calculating the volume of a prism

Volume The formula for volume V = BH where B is the area of the base and H is the height of the prism The height of the prism is the distance between the bases Since calculating volume requires area – let’s review

Area Formulas Area of triangle – Area of rectangle – Area of parallelogram – Area of square – Area of trapezoid – Area of circle – Area of regular polygon –

Area Formulas Area of triangle – Area of rectangle –parallelogram – square Area of trapezoid – Area of circle – Area of regular polygon –

Volume of Prism Let’s try it out:

Volume of Prism Check:

Volume of Cylinder Click link below Let’s take a look at calculating the volume of a cylinder

Volume of Cylinder Let’s try it out:

Volume of Cylinder Check:

To find volume First, identify the base Use appropriate formula for area of base Determine the height of the prism V = BH, where B is area of base and H is height of prism height

HOMEWORK: p. 525 #23 – 35 p. 533 #1 - 6 Have a Great Weekend!! Make Smart Safe Decisions All Weekend Long!!!