Three Dimensional Shapes Geometry flash card

rectangular prism

A three-dimensional figure with quadrilateral faces with two congruent bases (and no apex)

What is this an example of?

Rectangular prism

Net\example

Two dimensional representation or pattern for a three-dimensional object

Lateral Surfaces Area

The sum of the area of all faces excluding the base(s) of a solid object

Example of Lateral Surfaces Area

For a soup can, the area of the curved part (what is normally covered by the label)

Vertices

The corners of the shapes

What is this an example of

Verticals of the square

Irregular Prism

A prism with irregular polygons

What is this an example of and name the shape

Irregular Prism

name Right Triangular Prism

Sphere

Set of points in 3-dimensional space that are all the same distance from the given point (center)

What is this an example of

Ball/sphere

slant height

The distance from the apex (top) to an edge of the base

What is this an example of

Slant Height of a pyramid

Face

The sides of

What is this an example of

face of square

Oblique Prism

A prism with bases that are not exactly above/below each other, creating faces that are parallelograms (without right angles)

What is this an example of and name the shape

Oblique Prism/ shape name Oblique Hexagonal Prism

Volume

Measure of the total three dimensional space contained inside an object

What is this an example of?

Volume

Right Prism

A prism that has two bases aligned with each other vertically, creating sides that are perpendicular to the bases (meet the bases at right angles), creating rectangular faces

What is this an example of and name the shape

Right Prisms → Shape name Right Pentagonal Prism

Total Surface Area

The sum of all of the areas of all the faces of a solid object

What is an example of Total surface area

For a soup can, the area of the curved parts plus the areas of the top and bases

Surface Area

The area of the outside surface of a three dimensional object

What are the formula for a surface area

Sphere: SA = 4(π) r² r-radius and h-height

cone: SA =πr(r + square root h² + r² ) r-radius and h-height

Cylinder: SA=2B+2πr (B-area of base, r- radius, h-height)

Cylinder: SA=2πrh + 2πr² (r-radius, h-height)

Rectangular Prism: SA=2(wh + lw + lh) (w-width, h-height, l-length)

Triangular prism: Use net

Rectangular prism: use net

Triangular Prism: Use net

Rectangular Prism

A prism with a regular polygons for bases

What is this an example of and name the shape

This is a Rectangular prims

Shape name Right Square Prism

Pyramid

A shape in three dimensional that has a polygon for a base and triangular faces that meet at a point (the apex)

Name this pyramid example

Triangular pyramid

Edge

Where the faces meet

Using the square count the Edges on the square

A 2 B 4 C 7 D 6