Course 3 • Chapter 7 Connect Algebra to Geometry 79

Program: M. S. Math 2013

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Determine the volume of each solid. Round to the nearest tenth. 8.7(A)

1. 2.

5 ft

3.1 ft 30 in.

3. hemisphere: radius = 20 m 4. cylinder: radius = 3 mheight = 5.7 m

Determine the surface area of each solid. Round to the nearest tenth. 8.7(B)

5. 6.

16 in.

38 in.

7 cm

7.25 cm

7. cylinder: diameter = 7 cm 8. cylinder: diameter = 6 cm height = 5.1 cm height = 5.4 cm

9. A beach ball has a diameter of 12 inches. What is the volume to the nearest tenth?

8.7(A)

10. Marcos is buying paint to cover 10 cylindrical-shaped benches. Each bench has a diameter of 2 feet and a height of 3 feet. How many square feet needs to be painted

in all? Round to the nearest tenth. 8.7(B)

11. A storage shed with a flat roof is 4 yards long by 3 yards wide by 2 1 _ 2 yards tall. A cubic yard is equal to 27 cubic feet. How many cubic feet of storage space does the shed

enclose? 8.7(B)

Chapter 7 Test, Form 3A

50.3 ft 3

158.3 cm 2

5,428.7 in 2

14,137.2 in 3

16,755.2 m 3 161.2 m 3

189.1 cm 2

626.7 cm 2

904.8 in 3

251.3 ft 2

810 ft 3

073_080_MSM_TX_S_C07_CT_665701.indd 79073_080_MSM_TX_S_C07_CT_665701.indd 79 3/13/13 8:26 AM3/13/13 8:26 AM

Course 3 • Chapter 7 Connect Algebra to Geometry80

Program: M. S. Math 2013

Vendor: Six Red Marbles

Component: C07_Chapter Test

Grade: Course 3PDF

NAME ___________________________________________________ DATE ______________________ PERIOD ____________

SCORE _____________Copyright ©

McG

raw-H

ill Education. Permission is granted to reproduce for classroom

use.

12. Determine the volume of the composite figure. Round to the nearest tenth.

8.7(A)

13. Solid A is similar to Solid B. Solid B has a volume of 23,000 cubic meters. By what scale factor can you multiply every side of Solid A to get Solid B if the volume of

Solid A is 23 cubic meters? 8.7(A)

14. A cylinder has a volume of 26 cubic inches. If all the dimensions are multiplied by 3.2, what would be the volume of the new cylinder? Round to the nearest hundredth.

8.7(A)

Use a problem-solving model to solve each problem.

15. Cylinder A has a radius length of 4 inches and a height of 6 inches. Cylinder B has a height of 8 inches. Both the cylinders have the same volume. What is the length of the radius of Cylinder B? Round to the nearest hundredth. 8.7(A)

16. To the nearest whole foot, what is the total surface area of all four cylinders described in the table below? 8.7(B)

Cylinder Height (ft) Radius (ft)A 4.5 2B 6 3C 10 5D 12 7

17. Cone P and Cone Q are shown below. The volume of Cone P is 840 cubic centimeters.

The volume of Cone Q is 1 _ 3 the volume of Cone P. About how many times longer is the

diameter of Cone P than the diameter of Cone Q? Round to the nearest tenth.

8.7(A)

8 cm

Cone P

8 cm

Cone Q

18. Mike is filling two cylindrical containers with paint. The larger container has dimensions three times those of the smaller container. If there is 0.4 fluid ounce per cubic inch of paint, how many fluid ounces of paint are in the larger container? Round to the nearest whole number. 8.7(B)

5 in.

6 in.

4 cm

16 cm

5 cm

4 cm4 cm

Chapter 7 Test, Form 3A (continued)

1,069.3 cm 3

5,089 fluid ounces1.7 times

1,558 ft 3

851.97 in 3

10

3.46 in.

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