G&M - 15 Three-dimensional shapes: See Table 15.1 for descriptions and examples of three-dimensional shapes used throughout the NECAP GLEs.

parts of a three dimensional object - face, edge, vertex

Table 15.1 – Three dimensional figures:

Figure
Description
Examples
Prism
A prism is a three-dimensional 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

Prism

Rectangular prism
A prism whose bases and lateral faces are rectangles.
Rectangular prism
Cube
A rectangular prism whose faces are squares.
Cube
Triangular prism
A prism whose bases are triangles
Triangular prism
Cylinder
A three-dimensional shape with two parallel congruent circular faces whose cross sections (taken parallel to these circular faces) are circular.
Cylinder
Cone
A cone is like a pyramid with a circular base. (See Pyramid.)
Cone
Sphere
A sphere is the set of all points in space that are a fixed distance from a common point called the center.
Sphere
Pyramids
A three-dimensional shape with one polygonal base and lateral faces the shape of triangles that meet at a common vertex, called the apex.
Pyramid

Example 15.1 – Applies properties to describe three-dimensional shapes:

Below is a triangular prism. Which of the following describes the triangular prism?

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 three-dimensional shapes:

Below are descriptions of some top, front, and side views of three-dimensional shapes. For each description identify a three-dimensional 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
cone cylinder
c) Square pyramid d) Rectangular prism
square pyramid rectangular prism
e) Cube f) Triangular pyramid
cube traingular pyramid







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