Do Now. 5/8/2015 10-4 B Volume and Surface Area of Composite Figures.
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Transcript of Do Now. 5/8/2015 10-4 B Volume and Surface Area of Composite Figures.
![Page 1: Do Now. 5/8/2015 10-4 B Volume and Surface Area of Composite Figures.](https://reader034.fdocuments.in/reader034/viewer/2022051516/56649e545503460f94b4ab2a/html5/thumbnails/1.jpg)
Do Now
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5/8/2015 10-4 B Volume and Surface Area of Composite Figures
![Page 3: Do Now. 5/8/2015 10-4 B Volume and Surface Area of Composite Figures.](https://reader034.fdocuments.in/reader034/viewer/2022051516/56649e545503460f94b4ab2a/html5/thumbnails/3.jpg)
COMPOSITE Figures:• A figure made up of two or more three-
dimensional shapes.
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How to find Volume of composite shapes…
• Determine what individual shapes make up the larger shape itself.
• Find the volume of each shape separately.
• Add the volume of all of the shapes.
![Page 5: Do Now. 5/8/2015 10-4 B Volume and Surface Area of Composite Figures.](https://reader034.fdocuments.in/reader034/viewer/2022051516/56649e545503460f94b4ab2a/html5/thumbnails/5.jpg)
Example 1Find the volume of the composite figure. Use 3.14 for π.
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Example 1
V = πr2hV ≈ 3.14 ● 2.52 ● 4V ≈ 78.5
V = bwh V = 5 ● 3 ● 7V = 105
Find the volume of each figure.
Rectangular Prism CylinderThe total volume is about 105 + 78.5 or 183.5 cubic inches.
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Example 2A house is in the shape of the composite figure shown. Find the surface area of the composite figure.
The composite figure is made up of two different figures: a rectangular prism and a rectangular pyramid.
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Prism
S.A. = 2bh + bw + 2hw
S.A. = 2(8 ● 8) + (8 ● 7) + 2(8 ● 7)
S.A. = 128 + 56 + 112
S.A. = 296
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PyramidThe pyramid surfaces that you are finding are triangles with a height of 4 feet.Two of the triangles have a base of 8 feet and two have a base of 7 feet.
The total surface area of the figure is 296 + 60 or 356 square feet.
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Example 3
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What individual shapes make up the figure?
The stepping stool is made up of 2 different rectangular prisms. Find the volume of each prism.
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Find the volume of each shape separately then add…
V = 16 • 12 • 7
V = 1,344
V = 10 • 12 • 7
V = 840
V = bwh V = bwh
Answer: The volume of the stepping stool is1,344 + 840 or 2,184 cubic inches.
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Example 4
V = πr²h
V = πr²h 3
V = 84.8 ft³
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Surface Area of Composite
Figures
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How to find S.A. of composite shapes…
• Mentally separate the composite shape into their individual shapes.
• Find the S.A. of each shape.
• Add all of the surface areas together.
• Find the areas of each touching surface shape, then subtract those from the total S.A.
![Page 16: Do Now. 5/8/2015 10-4 B Volume and Surface Area of Composite Figures.](https://reader034.fdocuments.in/reader034/viewer/2022051516/56649e545503460f94b4ab2a/html5/thumbnails/16.jpg)
Example 5We are going to use our steps to find the surface area of the
stepping stool.
Mentally separate the composite shape into simpler individual shapes.
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A = bh + bh
A = (14 • 10) + (6 • 7)
A = 182
Remember: there are 2 of these sides
A = bh
A = 10 • 12
A = 120
A = bh
A = 14 • 12
A = 168
Find the area of each outside surface of each shape.
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A = Bh
A = 16 • 12
A = 192
A = Bh
A = 6 • 12
A = 72
A = Bh
A = 7 • 12
A = 84
Remember: there are 2 of these sides
Find the area of each outside surface of each shape.
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Add all of the areas together.
The total surface area of the stepping stool is (2 • 182) + 120 + 168 + 192 + 72 + (2 • 84) or 1,084 square inches.
182 x2120
168
192 72 84 x2
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Exit Ticket
2008.7m3
936in3
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Homework
• Pg. 628 #1-20 Evens• Test Tuesday!