Transcript Drawing Geometric Solids

Created by Mandy Plunkett
Modified by Charlotte Stripling
Plane Figures
Sphere
A 3D figure shaped like a ball.
Formed by … rotating a circle
How can you form a sphere?
Cylinder
A 3D figure that Formed by …
looks like a
Rotating a rectangle or square,
tube with 2
circular bases. Translating a circle
How can you form a cylinder?
Cone
A 3D figure with a circular base and a
point opposite the base.
Formed by … rotating a triangle, stacking
similar circles (smaller and smaller until a point)
How can you form a cone?
Cube
A rectangular prism with all
edges the same length.
Formed by … translating a square
(its exact side length)
How can you form a cube?
Rectangular Prism
Formed by … translating a
square or rectangle
A 3d figure that
looks like a box.
How can you form a rectangular
prism?
Triangular Prism
A prism whose bases
are triangles.
Formed by …
translating a triangle
How can you form a pyramid?
• Stack similar figures – smaller and smaller
up to a point.
• Similar triangles – triangular pyramid
• Similar rectangles – rectangular pyramid
• Similar squares – square pyramid
• Similar pentagons – pentagonal pyramid
• Similar hexagons – hexagonal pyramid
Square Pyramid
Formed by … stacking similar squares
(smaller and smaller until a point)
Triangular Pyramid
Formed by … stacking similar triangles
(smaller and smaller until a point)
Hexagonal Pyramid
Formed by … stacking similar hexagons
(smaller and smaller until a point)
DEFINITIONS
• Cross Section: the intersection of a
plane and a solid.
Formed by slicing through a 3D figure
and looking at the inside 2D plane
figure.
• Ellipse: an oval 2D figure.
Formed by slicing a 3D figure at an angle
to its circular base (oblique).
What cross-sections can I make
from a sphere?
• Circle (any direction)
What cross-sections can I make
from a cube?
• Square (vertical or horizontal), triangle
(corners), hexagon (oblique), pentagon
(oblique), parallelogram (oblique), rectangle
(diagonal)
To see all cross
sections click on link.
http://www.learner.org/courses/learningmath/geometry/session9/part_c/index.html
What cross-sections can I make
from a cylinder?
• Rectangle (vertical), Circle (horizontal),
Ellipse (oblique)
What cross-sections can I make
from a cone?
• Triangle (vertical), Circle (horizontal),
Ellipse (oblique)
What cross-sections can I make
from a rectangular prism?
• Rectangle (vertical or horizontal), Triangle
(corners)
What cross-sections can I make
from a square pyramid?
• Triangle (vertical), Square (horizontal),
Trapezoid (vertical not through vertex)