Take out your calculator and notebook.

Take a worksheet from the bookshelf

List any solids that you already know.

What does “3-D” mean?Draw a 3-D figure

DO NOW

INTRO TO SOLIDS

Visualize objects and relationships in two and three dimensions

Introduce geometric solidsVisualize nets of solidsUse problem solving skills

TODAY’S OBJECTIVES

AKA solid geometrySpace is the set of all points.Cannot be contained in a flat surface.

SPACE GEOMETRY

Cylinder

Prism

Cone

Pyramid

Sphere

FIVE TYPES OF SOLIDS

Polyhedron—a solid formed by polygons that enclose a single region of space

Named after their base.Faces—the flat polygonal surfaces of a polyhedronEdge—a segment where two faces intersectVertex—the point of intersection of three or more

edges

POLYHEDRON

Prism—special type of polyhedron

Has two faces called bases that are congruent

Other faces are called lateral faces

PRISM

Pyramid—a polyhedron with only one base

PYRAMID

Cylinder—two circular bases with a curved surface

CYLINDER

Cone—one base with a curved surface

CONE

Sphere—the set of all points in space at a given distance from a given point.

3-D circle

SPHERE

A pattern that you can cut and fold to make a model of a solid shape

NET

Visualize objects and relationships in two and three dimensions

Introduce geometric solidsVisualize nets of solidsUse problem solving skills

TODAY’S OBJECTIVES

EXIT SLIP

VOLUME OF PRISMS AND CYLINDERS

Discover formulas for finding the volumes of prisms and cylinders

Use problem solving skills

TODAY’S OBJECTIVES

Volume—the measure of the amount of space contained in a solid.

The volume of the object is the number of unit cubes that completely fill the space within the object.

VOLUME

Find the volume of each rectangular prism

INVESTIGATION

Find the volume

VOLUME

Rectangular Prism Volume Conjecture—If B is the area of the base of a right rectangular prism and h is the height of the solid, then the formula for the volume is _____

V=Bh

RECTANGULAR PRISM VOLUME CONJECTURE

Find the volume

VOLUME

Find the volume

VOLUME

Find the volume

VOLUME

Find the volume

VOLUME

Discover formulas for finding the volumes of prisms and cylinders

Use problem solving skills

TODAY’S OBJECTIVES

1. Find the volume to the right

2. Find the volume of the cylinder if the radius of the circular base is 4cm and the height is 7cm.

EXIT SLIP