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33 Cards in this Set
- Front
- Back
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Solid
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Is a 3 dimensional object.
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Faces
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A flat surface on a solid.
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Polyhedrons
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A solid whose faces are polygons.
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Edges
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A segment joining two faces of a polyhedron.
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Vertices
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Corners of a solid.
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Prism
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A polyhedron whose bases are congruent and parallel.
Example: rectangular prism (flat side lunch box |
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pyramid
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A polyhedron with one polygonal base.
Example: The egyptian pyramids have a square base. (Square Pyramid) |
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Describe a pentagonal pyramid.
Number of faces: Number of edges: Number of vertices: |
Number of faces: 6
Number of edges: 10 Number of vertices: 6 |
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Describe a pentagonal prism.
Number of faces: Number of edges: Number of vertices: |
Number of faces: 7
Number of edges: 15 Number of vertices: 10 |
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surface area (for a solid)
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The sum of the areas of its surfaces.
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What is the best way to find the surface area of a solid?
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Drawing a net.
Allows you to see all the shapes and dimensions of its faces. Then you just use the area formulas to help you calculate the sufrace area. |
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Volume (three dimensional object)
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The amount of space the object takes up.
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Volume is always measured in?
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Cubic units
Just need to count up number of cubes an object can hold. |
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What is the volume of a rectangular prism with a lenght of 10 in, a width of 5 in, and a height of 10 in?
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Answer: 500 cubic inches
or 500 in³ |
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Circle
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A plane figure whose points are all the same distance from its center.
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Center
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The point in the exact middle of a circle or sphere.
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central angle
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An angle whose vertex is at the center of a circle.
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Pi
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The ratio of a circle's circumference to its diameter. Value = 3.14159265...
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diameter
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The distance across a circle through its center.
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radius
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The distance from the center of the circle to a point on the circle.
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Circumference
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The perimeter of a circle.
Ex. The distance around your pool. |
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Formula for Circumference
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C = 3.14159265 x diameter
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Find the circumference of a circle whose radius is 5 cm.(Use 3.14)
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Answer: 3.14 x 10 = 31.4 cm
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Find the circumference of a circle whose radius is 5 cm.(Use 3.14)
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Answer: 3.14 x 10 = 31.4 cm
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What is the formula for area of a circle?
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Area = pi x radius squared
= 3.14 x r² |
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Find the area of a circle with a radius of 10 cm.
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Area = 3.14 x 10²
Area = 314 cm2 |
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All faces of polyhedrons are flat. True or False
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True
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cylinder
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A solid with two parallel circular bases with the same radius.
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cone
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A solid with one circular base.
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sphere
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Is a solid version of a circle. (ball)
All the points on a sphere ae the same distance from its center. |
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The net of of cylinder always has what 3 figures to measure?
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2 circles and 1 rectangle
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What is the formula for the volume of a cylinder?
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V = Bh
B = pi x radius squared h = height 3.14 x r² x height = ____ units³ |
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What is the volume of a cylinder with a radius of 3ft and the height 5ft?
(Round to the nearest tenth) |
Answer: 141.3 ft
V = 3.14 x 3² x 5³ |
