G&M  15 Threedimensional shapes: See Table 15.1 for descriptions and examples of threedimensional shapes used throughout the NECAP GLEs.
Table 15.1 – Three dimensional figures:
Figure 
Description 
Examples 
Prism 
A prism is a threedimensional figure
with two parallel congruent faces, called bases, and lateral faces in
the shape of parallelograms. Prisms are named according to the shape of
their bases. 
Right Hexagonal Prism 
Rectangular prism 
A prism whose bases and lateral faces are
rectangles. 

Cube 
A rectangular prism whose faces are squares. 

Triangular prism 
A prism whose bases are triangles 

Cylinder 
A threedimensional shape with two parallel
congruent circular faces whose cross sections (taken parallel to these
circular faces) are circular. 

Cone 
A cone is like a pyramid with a circular
base. (See Pyramid.) 

Sphere 
A sphere is the set of all points in
space that are a fixed distance from a common point called the center.


Pyramids 
A threedimensional shape with one polygonal
base and lateral faces the shape of triangles that meet at a common vertex,
called the apex. 
Example 15.1 – Applies properties to describe threedimensional shapes:
Below is a triangular prism. Which of the following describes the triangular prism?
A) All faces are congruent.
B) Because it has two triangles as bases, it has six edges.
C) Because it has two triangles as bases, it has six vertices.
D) All the angles formed by the edges are congruent.
Answer: C
Example 15.2 – Use properties to describe threedimensional shapes:
Below are descriptions of some top, front, and side views of threedimensional shapes. For each description identify a threedimensional shape whose views match the given description, and sketch a view of it that shows its principle features.
a) Side and front views are triangles. Top view is a circle.
b) Side and front views are rectangles. Top view is a circle.
c) Side and front views are triangles. Top view is a square.
d) Side and front view are rectangles. Top view is a rectangle.
e) Side, top, and front views are all congruent squares.
f) Side, top, and front views are all congruent triangles.
Source: Foundations of Success, Achieve, Inc. 2002
Answers:
a) Cone  b) Cylinder 
c) Square pyramid  d) Rectangular prism 
e) Cube  f) Triangular pyramid 