Review 9 - Charles S. Rushe Middle School

LESSON9-5ChallengeEggs-actlyThe volumes of two similar-shaped figuresare proportional to the cube of their lengths.Suppose an extra-large egg is 2.5 inches long,compared to a smaller egg 1.25 inches long.What is the ratio of their volumes?Cube the ratio of their lengths. 2.51.25 3 2 1 3 8 1 The ratio of their volumes is 8:1.So, the larger egg has 8 times as much volume, 8 times as muchweight, and 8 times as much food.Solve. Show your work.1. One egg is 2 inches long. Another is 2.75 inches long. Howmany times greater is the volume of the larger egg? 2. 752 3 20.8 2.6; about 2.6 times82. One egg is 2.25 inches long. Another is 1.5 inches long. Howmany times greater is the weight of the larger egg? 2 . 2531.5 3 2 3 about 3.4 times3. The ratio of the lengths of two eggs is 5 to 2. The larger eggcontains how many times the food of the smaller egg?5 15.625; about 15.6 times as much 5 2 3 12 84. An egg is 2 inches long. What is the approximate length of anegg with twice the volume?about 2.5 in.5. An egg is 3 inches long. What is the approximate length of anegg with half the weight?about 2.4 in.6. An egg is 1.75 inches long. What is the approximate length of anegg with twice the food?about 2.2 in.2.5 in.1.25 in.LESSON9-5Problem SolvingChanging DimensionsWrite the correct answer.1. In the late 1800s, wax cylinders wereused to record sound. The lateralsurface area of the cylinders wasabout 25 square inches. If a largermodel of this cylinder is createdusing a scale factor of 3, what is thelateral surface area of the model?about 225 in 23. A cone-shaped plastic cup holds24 ounces of water. A smaller cuphas a scale factor of 1 . How much2water does the smaller cup hold?3 ozChoose the letter of the correct answer.2. A 5-foot wide, 100-foot tall cylindricalwater tower was built in St. Louis inthe early 1800s. An architecturestudent wants to build a model usinga scale factor of 1 . What will be the6volume of the model to the nearestcubic foot?9 ft 34. In the game of Ring Taw, players usea shooting marble that has a surfacearea of 1.77 square inches. What isthe surface area of a large ball if thescale factor is 5?44.25 in 26. A cooking pot used in the cafeteria5. The volume of a rectangular prism isB 0.026 mi 2 D 0.126 mi 248 cubic centimeters. The volume ofa similar rectangular prism is 6 cubicweighs 64 pounds when it is filledwith soup. How much would a similarcentimeters What is the scale factor pot with a scale factor of 1 2 for the rectangles?when filled with the same soup?A 8 C 4F 4 lbH 16 lbB 6 D 2G 8 lb J 32 lb7. For his science project, Marty isbuilding a model of Pluto, whichhas a surface area of about6,376,000 square miles. He plans to8. The scale factor of two similartriangular prisms is 5. What is thepossible surface area of both prisms?F 2,000 cm 2 and 80 cm 2cover his model with red foil. If heG 125 cm 2 and 25 cm 2uses a scale factor of 5,000, howmuch red foil will he need to theH 5,000 cm 2 and 40 cm 2nearest hundredth of a square mile? J 10,000 cm 2 and 60 cm 2A 1.26 mi 2 C 0.26 mi 2Copyright © by Holt, Rinehart and Winston.51 Holt Middle School Math Course 2All rights reserved.Copyright © by Holt, Rinehart and Winston.52 Holt Middle School Math Course 2All rights reserved.LESSON9-5Puzzles, Twisters & TeasersA New Dimension!9-1 Introduction to Three-Dimensional Figures (pp. 472–475)560 in 2Complete both charts. Use your answers to solve the riddle.4 35 in 2 T 2 29 ft 3 232 ft 3 CIdentify the type of base of each prism or pyramid. Then tell thescale smaller larger scale smaller largername of the prism or pyramid.factor surface area surface area factor volume volume 1. 2. 3.6 24 m 2 864 m 2 S8 40 ft 2 2,560 ft 2 U9 20 m 2 H 1.602 m 2Why did the hairdresser win the race?S H E T O O K A864 20 486 560 1,088 1,088 75 2,048S H O R T C U T .864 20 1,088 1,000 560 232 2,560 5603 18 lb 3 486 lb 3 E5 8 cm 3 1,000 cm 3 R4 17 in 3 1,088 in 3 O4 32 lb 3 2,048 lb 3 A2 75 in 3 K 600 in 3CHAPTER9ReviewVolume and Surface Areatriangle;triangular prismoctagon;octagonal prism9-2 Volume of Prisms and Cylinders (pp. 476–479)Find the volume of the prism to the nearest tenth.4. 5. 3 m6.5.1 m3.4 m9 m15 in.7.2 m12 m15 in.15 in.124.8 m 3 162 m 33,375 in 3Find the volume of the cylinder to the nearest tenth using 3.14 for .triangle;triangular pyramid15.6 cm7. 10 cm8.18 m9.5,338 cm 3 32,555.5 m 31,413.7 cm 317 cm7.4 cm32 m9-3 Volume of Pyramids, Cones, and Spheres (pp. 480–484)Find the volume of the pyramid, cone, and sphere to the nearest tenth.Use 3.14 for .10. 11. 12.16 in.5.2 cm6 in.8 in. 15 in.3 in.640 in 3 56.5 in 3588.7 cm 3Copyright © by Holt, Rinehart and Winston.53 Holt Middle School Math Course 2All rights reserved.Copyright © by Holt, Rinehart and Winston.54 Holt Middle School Math Course 2All rights reserved.Copyright © by Holt, Rinehart and Winston.70 Holt Middle School Math Course 2All rights reserved.