LESSON 1-7 THREE-DIMENSIONAL FIGURES. Vocabulary polyhedron face edge vertex prism base pyramid...
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Transcript of LESSON 1-7 THREE-DIMENSIONAL FIGURES. Vocabulary polyhedron face edge vertex prism base pyramid...
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LESSON 1-7
THREE-DIMENSIONAL FIGURES
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• polyhedron
• face
• edge
• vertex
• prism
• base
• pyramid
• cylinder
• cone
• sphere
• regular polyhedron
• Platonic solid
• surface area
• volume
Note: See Vocabulary Sheet 1-7 Three-Dimensional Figures
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• Polyhedron:
a special solid with all flat surfaces that are polygons
**named by its base
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• Face:
flat surfaces of a solid
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• Edge:
the line segment where the faces intersect
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• Vertex:
the point where three or more edges intersect
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• Platonic solid:
a regular polyhedron where all of the faces are regular congruent polygons and all the edges are congruent
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Identify Solids
A. Determine whether the solid is a polyhedron. Then identify the solid. If it is a polyhedron, name the bases, faces, edges, and vertices.
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Identify Solids
B. Determine whether the solid is a polyhedron. Then identify the solid. If it is a polyhedron, name the bases, faces, edges, and vertices.
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Identify Solids
C. Determine whether the solid is a polyhedron. Then identify the solid. If it is a polyhedron, name the bases, faces, edges, and vertices.
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A. triangular pyramid
B. pentagonal prism
C. rectangular prism
D. square pyramid
A. Identify the solid.
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A. cone
B. cylinder
C. pyramid
D. polyhedron
B. Identify the solid.
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A. triangular prism
B. triangular pyramid
C. rectangular pyramid
D. cone
C. Identify the solid.
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Find Surface Area and Volume
Find the surface area and volume of the cone.
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A. surface area = 288 ft2
volume = 336 ft3
B. surface area = 336 ft2
volume = 288 ft3
C. surface area = 26 ft2
volume = 60 ft3
D. surface area = 488 ft2
volume = 122 ft3
Find the surface area and volume of the triangular prism.
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Surface Area and Volume
A. CONTAINERS Mike is creating a mailing tubewhich can be used to mail posters andarchitectural plans. The diameter of the base is
inches, and the height is feet. Find the
amount of cardboard Mike needs to make the tube.
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Surface Area and Volume
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A. surface area = 2520 in2
B. surface area = 18 in2
C. surface area = 180 in2
D. surface area = 1144 in2
A. Jenny has some boxes for shipping merchandise. Each box is in the shape of a rectangular prism with a length of 18 inches, a width of 14 inches, and a height of 10 inches. Find the surface area of the box.
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A. volume = 1144 in3
B. volume = 14 in3
C. volume = 2520 in3
D. volume = 3600 in3
B. Jenny has some boxes for shipping merchandise. Each box is in the shape of a rectangular prism with a length of 18 inches, a width of 14 inches, and a height of 10 inches. Find the volume of the box.