Unit 7

1. What is the relationship between the area formula 2-dimensional polygons and the volume formula for 3-dimensional polyhedrons?

• 8.G.C.9:Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres. Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems. (8.EE.2 Students solve simple cube root equations of the form x³ = p that arise from the volume problems. 8.NS.2 Students understand that pi is an irrational number and approximate irrational numbers that arise in volume as problems as appropriate)*

Circumference: The distance around a circle.

Composite Figure: A figure made up of simple geometric shapes.

Cone: A three-dimensional figure with one vertex and one circular base.

Cylinder: A three-dimensional figure with two parallel, congruent circular bases connected by a curved lateral surface.

Formula: A rule showing relationships among quantities.

Pi (π): The ratio of the circumference of a circle to the length of its diameter; π≈ 3.14 or 22/7 .

Polygon: A closed plane figure formed by three or more line segments that intersect only at their endpoints (vertices).

Prism: A polyhedron that has two congruent, polygon-shaped bases and other faces that are all parallelograms.

Pyramid: A polyhedron with a polygon base and triangular sides that all meet at a common vertex.

Spheres: A three-dimensional figure with all points the same distance from the center.

Volume: The number of cubic units needed to fill a given space.