Geometric Solid

MATHEMATICS

STANDARD 3.0 Measurement/Geometry w Level 4

Focus: Students understand plane and solid geometric objects and use this knowledge to show relationships and solve problems.

GEOMETRIC SOLIDS

DIRECTIONS: In the fourth grade you are supposed to visualize, describe, and make models of geometric solids (e.g., prisms, pyramids) in terms of the number and shape of faces, edges, and vertices; interpret two-dimensional representations of three-dimensional objects; and draw patterns (of faces) for a solid that, when cut and folded, will make a model of the solid.

As a first step in being able to visualize and describe 3-dimensional objects, use your teachers set of geometric solids to correctly fill out the number of each feature in the table below.

vertex

edge

bottom face

side face

A face is a flat surface on the side of a geometric solid.

An edge is formed where two faces meet.

A vertex is formed where three faces meet at a corner.

And a base is the bottom (or the top) face.

When looking at a rectangular prism for example, we can see it has 6 faces. Four of the faces make up the sides and 2 faces make up the top and bottom (or bases). It also has 12 edges. Four edges are formed where the sides come together and 8 edges are formed where the sides meet with the bases. And finally, it has eight vertices (or corners), each of which is formed where 3 edges meet.

rectangular prism

STANDARD 3.0 Measurement/Geometry w Level 4

Focus: Students understand plane and solid geometric objects and use this knowledge to show relationships and solve problems.

THREE DIMENSIONAL FIGURES

There are three different features or aspects of a three-dimensional object (also known as a geometric solid) with which you need to be familiar. They are faces, edges, and vertices.

top face

GEOMETRIC SOLID

FACES

EDGES

VERTICES

triangular prism

square pyramid

triangular pyramid

cube

cone

cylindar

sphere