Please Answer the Following Questions

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Mathematics

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Task 1

The net of a composite space figure is shown below.

a. What figures make up the composite space figure?

b. What is the surface area of the composite space figure? Round your answer to the nearest square centimeter.

Task 2

Jack and Maureen are opening an ice hotel. The structure and furniture are made out of ice. They must determine the weight of some of the ice furniture to decide the size of the crane needed to lift each piece into place. Maureen knows that ice weighs approximately 62.4 pounds per cubic foot. Find the approximate weight of each of the figures below.

a. The stage in the banquet hall measures 22 ft by 15 ft by 4 ft.

b. Two cylindrical pillars will flank the front door. Each cylinder has diameter 1 ft and height 9 ft.

c. A series of four spheres will decorate the reception area. The largest sphere has diameter 4 ft. Th e other three spheres have diameter 2 ft, 1 ft, and 1/2 ft.

I have attached the project questions and rubric which contains all the requirements to receive a passing grade

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11 To solve these problems, you will pull together many concepts and skills that you have studied about surface area and volume. Pull It All Together Visualization You can use a net to visualize a three-dimensional solid. Task 1 The net of a composite space figure is shown below. 5 cm 6 cm 4 cm a. What figures make up the composite space figure? b. What is the surface area of the composite space figure? Round your answer to the nearest square centimeter. Measurement You can use formulas to find the volumes of various solids. Task 2 Jack and Maureen are opening an ice hotel. The structure and furniture are made out of ice. They must determine the weight of some of the ice furniture to decide the size of the crane needed to lift each piece into place. Maureen knows that ice weighs approximately 62.4 pounds per cubic foot. Find the approximate weight of each of the figures below. a. The stage in the banquet hall measures 22 ft by 15 ft by 4 ft. b. Two cylindrical pillars will flank the front door. Each cylinder has diameter 1 ft and height 9 ft. c. A series of four spheres will decorate the reception area. The largest sphere has 1 diameter 4 ft. The other three spheres have diameter 2 ft, 1 ft, and 2 ft. 750 Chapter 11 Pull It All Together Copyright ยฉ 2011 Pearson Education, Inc. Unit 11 Project Rubric Task 1 Correctly identifies all figures that make up the composite figure 3 points Correctly calculates area of each figure that makes up the composite figure. 3 points Correctly finds surface area. 2 points Total 8 points Task 2 Calculates weight of stage 2 points Calculates weight of pillars 2 points Calculates weight of each sphere 8 points Total 12 points
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Explanation & Answer

Please find answers in attached doc and PDF. Please note both files are exactly same content-wise. Thanks

Task 1
a. The composite space figure is made up of hexagonal pyramid put on top of a hexagonal prism
base.
1

1

b. ๐ด๐‘Ÿ๐‘’๐‘Ž ๐‘œ๐‘“ ๐‘Ž ๐‘ก๐‘Ÿ๐‘–๐‘Ž๐‘›๐‘”๐‘™๐‘’ = 2 โˆ— ๐‘๐‘Ž๐‘ ๐‘’ โˆ— โ„Ž๐‘’๐‘–๐‘”โ„Ž๐‘ก = 2 โˆ— 4 โˆ— 5 = 10๐‘๐‘š2

๐ด๐‘Ÿ๐‘’๐‘Ž ๐‘œ๐‘“ ๐‘Ž ๐‘Ÿ๐‘’๐‘๐‘ก๐‘Ž๐‘›๐‘”๐‘™๐‘’ = ๐‘™๐‘’๐‘›๐‘”๐‘กโ„Ž โˆ— ๐‘ค๐‘–๐‘‘๐‘กโ„Ž = 6 โˆ— 4 = 24๐‘๐‘š2
๐ด ๐‘Ÿ๐‘’๐‘”๐‘ข๐‘™๐‘Ž๐‘Ÿ โ„Ž๐‘’๐‘ฅ๐‘Ž๐‘”๐‘œ๐‘› ๐‘–๐‘  ๐‘๐‘œ๐‘š๐‘๐‘Ÿ๐‘–๐‘ ๐‘’๐‘‘ ๐‘œ๐‘“ ๐‘ ๐‘–๐‘ฅ ๐‘’๐‘ž๐‘ข๐‘–๐‘™๐‘Ž๐‘ก๐‘’๐‘Ÿ๐‘Ž๐‘™ ๐‘ก๐‘Ÿ๐‘–๐‘Ž๐‘›๐‘”๐‘™๐‘’๐‘ , ๐‘ ๐‘œ ๐‘Ž๐‘Ÿ๐‘’๐‘Ž ๐‘œ๐‘“ โ„Ž๐‘’๐‘ฅ๐‘Ž๐‘”๐‘œ๐‘›
3โˆš3
3โˆš3
โˆš3
= 6 โˆ— ( โˆ— (๐‘ ๐‘–๐‘‘๐‘’)2 ) =
โˆ— (๐‘ ๐‘–๐‘‘๐‘’)2 =
โˆ— (4)2 = 24โˆš3๐‘๐‘š2
4
2
2
๐‘ ๐‘œ, ๐‘†๐‘ข๐‘Ÿ๐‘“๐‘Ž๐‘๐‘’ ๐‘Ž๐‘Ÿ๐‘’๐‘Ž ๐‘œ๐‘“ the composite space figure
= 6 โˆ— (๐‘Ž๐‘Ÿ๐‘’๐‘Ž ๐‘œ๐‘“ ๐‘Ž ๐‘ก๐‘Ÿ๐‘–๐‘Ž๐‘›๐‘”๐‘™๐‘’ ) + 6 โˆ— (๐‘Ž๐‘Ÿ๐‘’๐‘Ž ๐‘œ๐‘“ ๐‘Ž ๐‘Ÿ๐‘’๐‘๐‘ก๐‘Ž๐‘›๐‘”๐‘™๐‘’) + ๐‘Ž๐‘Ÿ๐‘’๐‘Ž ๐‘œ๐‘“ โ„Ž๐‘’๐‘ฅ๐‘Ž๐‘”๐‘œ๐‘›
= (6 โˆ— 10) + (6 โˆ— 24) + 24โˆš3 ๐‘๐‘š2 = 60 + 144 + 41.57 ๐‘๐‘š2 = 245.57 ๐‘๐‘š2
๐‘น๐’๐’–๐’๐’…๐’Š๐’๐’ˆ ๐’•๐’‰๐’† ๐’‚๐’๐’”๐’˜๐’†๐’“ ๐’•๐’ ๐’•๐’‰๐’† ๐’๐’†๐’‚๐’“๐’†๐’”๐’• ๐’”๐’’๐’–๐’‚๐’“๐’† ๐’„๐’†๐’๐’•๐’Š๐’Ž๐’†๐’•๐’†๐’“:
๐‘บ๐’–๐’“๐’‡๐’‚๐’„๐’† ๐’‚๐’“๐’†๐’‚ ๐’๐’‡ ๐ญ๐ก๐ž ๐œ๐จ๐ฆ๐ฉ๐จ๐ฌ๐ข๐ญ๐ž ๐ฌ๐ฉ๐š๐œ๐ž ๐Ÿ๐ข๐ ๐ฎ๐ซ๐ž ๐ข๐ฌ ๐Ÿ๐Ÿ’๐Ÿ” ๐œ๐ฆ๐Ÿ

Task 2
a. ๐‘...


Anonymous
Really useful study material!

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