splash screen. over lesson 1–6 5-minute check 1 a.pentagon b.heptagon c.octagon d.decagon name...
TRANSCRIPT
![Page 1: Splash Screen. Over Lesson 1–6 5-Minute Check 1 A.pentagon B.heptagon C.octagon D.decagon Name polygon A by its number of sides](https://reader035.vdocuments.site/reader035/viewer/2022081520/5697bfd41a28abf838cacfa5/html5/thumbnails/1.jpg)
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Over Lesson 1–6
A. pentagon
B. heptagon
C. octagon
D. decagon
Name polygon A by its number of sides.
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Over Lesson 1–6
A. pentagon
B. hexagon
C. heptagon
D. octagon
Name polygon B by its number of sides.
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Over Lesson 1–6
A. 25 cm
B. 35 cm
C. 40 cm
D. 45 cm
Find the perimeter of polygon A.
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Over Lesson 1–6
A. 40 in.
B. 42 in.
C. 45 in.
D. 85 in.
Find the perimeter of polygon B.
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Over Lesson 1–6
A. polygon A: regularpolygon B: regular
B. polygon A: regularpolygon B: irregular
C. polygon A: irregularpolygon B: regular
D. polygon A: irregularpolygon B: irregular
Classify the polygons as regular or irregular.
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Over Lesson 1–6
A. 18 meters
B. 10 meters
C. 11.25 meters
D. 15 meters
A regular hexagon has a perimeter of 90 meters. What is the length of one side of the hexagon?
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You identified and named two-dimensional figures.
• Identify and name three-dimensional figures.
• Find surface area and volume.
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• polyhedron
• face
• edge
• vertex
• prism
• base
• pyramid
• cylinder
• cone
• sphere
• regular polyhedron
• Platonic solid
• surface area
• volume
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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
The solid is formed by polygonal faces, so it is a polyhedron. The bases are rectangles. This solid is a rectangular prism.
Answer: rectangular prism;Bases: rectangles EFHG, ABDC
Faces: rectangles FBDH, EACG, GCDH,EFBA, EFHG, ABDC
Vertices: A, B, C, D, E, F, G, H
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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
The solid is formed by polygonal faces, so it is a polyhedron. The bases are hexagons. This solid is a hexagonal prism.
Answer: hexagonal prism;Bases: hexagon EFGHIJ and hexagon
KLMNOP
Faces: rectangles EFLK, FGML, GHNM, HNOI, IOPJ, JPKE; hexagons EFGHIJ and KLMNOP
Vertices: E, F, G, H, I, J, K, L, M, N, O, P
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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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Identify Solids
The solid has a curved surface, so it is not a polyhedron. The base is a circle and there is one vertex. So, it is a cone.
Answer: Base: circle TVertex: Wno faces or edges
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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.
π π
Use a calculator.
.
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Find Surface Area and Volume
Answer: The cone has a surface area of about 75.4 cm2 and a volume of about 37.7 cm3.
r = 3, h = 4
Volume of a cone
Simplify.
Use a calculator.
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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.
The amount of material used to make the tube would be equivalent to the surface area of the cylinder.
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Surface Area and Volume
Surface area of a cylinder
r = 1.875 in., h = 32 in.
Answer: Mike needs about 399.1 square inches ofcardboard to make the tube.
Use a calculator.399.1
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Surface Area and Volume
B. 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
volume of the tube.
Volume of a cylinder
r = 1.875 in., h = 32 in.
Use a calculator.353.4
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Surface Area and Volume
Answer: The volume of the tube is about 353.4 cubic inches.
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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.
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