Name: ________________________ Class: ___________________ Date: __________ ID: X

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Geometry Unit 11 Practice Test

Short Answer

1.

2. What is the volume of the cylinder in terms of x ?

3. What is the height of a square pyramid that has a side length of and a volume of ?

ID: X

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4. A food manufacturer sells ice cream in cone with the dimensions shown. To the nearest tenth, how many fluid ounces of yogurt does the cup hold?

(Hint: )

5. What is the volume and surface area of the sphere in terms of x?

ID: X

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6. You want to design a cylindrical container for ice cream that has a volume of . You also want the height of the container to be 3 times the radius. To the nearest tenth, what should the radius of the container be?

7.

Find the volume of the composite figure. Round your answer to the nearest tenth.

ID: X

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8.

Find the volume of the composite figure. Round your answer to the nearest tenth.

The figures are similar. Find the area.

9. The area of ABC is 35 square cm. The height of ABC is 7 cm and the height of DEF is 16 cm. Find the area of DEF. Round to the nearest square cm if necessary.

10. The area of rectangle ABCD is 72 square inches. A diagonal of rectangle ABCD is 12 inches and the diagonal of rectangle EFGH is 6 inches. Find the area of rectangle EFGH . Round to the nearest square inch if necessary.

Find the volume of the prism. Round to the nearest tenth if necessary.

11.

12.

ID: X

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13.

14.

Find the volume of the pyramid. Round to the nearest tenth if necessary.

15.

16.

ID: X

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Find the volume of the cone. Use 3.14 for π. Round to the nearest tenth.

17.

18. Find the surface area of the sphere. Use 3.14 for π. Round to the nearest tenth.

19. Find the volume of the sphere. Use 3.14 for π. Round to the nearest tenth.

ID: X

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Determine whether the pair of solids are similar, congruent, or neither. Figures are not necessarily drawn to scale.

20.

21.

22.

23.

Figures A and B are similar. Find the area of figure B.

24. Triangle A has a height of 6 inches and an area of 9 square inches. Triangle B has a height of 4 inches.

ID: X

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25. Rectangle A has a diagonal of 12 cm and an area of 72 square inches. Rectangle B has a diagonal of 9 inches.

26. Find the volume of a baseball if its diameter is 6.8 centimeters.

27. The surface area of a sphere is 682π square inches. Find the volume of the sphere. Round to the nearest tenth.

ID: X

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Geometry Unit 11 Practice TestAnswer Section

SHORT ANSWER

1. ANS: Piece A melts the fastest

2. ANS:

3. ANS:

4. ANS:

5. ANS:

6. ANS:

7. ANS:

8. ANS:

9. ANS:

183 cm2

DIF: Basic REF: Lesson 11-5 TOP: Areas of similar figures. 10. ANS:

18 in2

DIF: Basic REF: Lesson 11-5 TOP: Areas of similar figures. 11. ANS:

96 m3

DIF: Basic REF: Lesson 12-4 TOP: Find volumes of prisms.KEY: Volume | Prisms | Volume of Prisms

12. ANS:

313.7 yd3

DIF: Average REF: Lesson 12-4 TOP: Find volumes of prisms.KEY: Volume | Prisms | Volume of Prisms

ID: X

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13. ANS:

2331.1 cm3

DIF: Average REF: Lesson 12-4 TOP: Find volumes of cylinders.KEY: Volume | Cylinders | Volume of Cylinders

14. ANS:

14,770.1 cm3

DIF: Average REF: Lesson 12-4 TOP: Find volumes of cylinders.KEY: Volume | Cylinders | Volume of Cylinders

15. ANS:

3712 in3

DIF: Average REF: Lesson 12-5 TOP: Find volumes of pyramids.KEY: Volume | Pyramids | Volume of Pyramids

16. ANS:

467.2 ft3

DIF: Average REF: Lesson 12-5 TOP: Find volumes of pyramids.KEY: Volume | Pyramids | Volume of Pyramids

17. ANS:

3391.2 yd3

DIF: Average REF: Lesson 12-5 TOP: Find volumes of cones.KEY: Volume | Circular Cones | Volume of Cones

18. ANS:

452.2 ft2

DIF: Average REF: Lesson 12-6 TOP: Find surface area of spheres.KEY: Surface Area | Spheres | Surface Area of Spheres

19. ANS: 523.3 in3

DIF: Average REF: Lesson 12-6 TOP: Find volumes of spheres.KEY: Volume | Spheres | Volume of Spheres

20. ANS: similar

DIF: Basic REF: Lesson 12-8 TOP: Identify congruent or similar solids.KEY: Congruency | Similar Solids

21. ANS: neither

DIF: Basic REF: Lesson 12-8 TOP: Identify congruent or similar solids.KEY: Congruency | Similar Solids

ID: X

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22. ANS: neither

DIF: Basic REF: Lesson 12-8 TOP: Identify congruent or similar solids.KEY: Congruency | Similar Solids

23. ANS: similar

DIF: Average REF: Lesson 12-8 TOP: Identify congruent or similar solids.KEY: Congruency | Similar Solids

24. ANS: 4 square inches

area of triangle B9

= 46

Ê

Ë

ÁÁÁÁÁÁ

ˆ

¯

˜̃˜̃˜̃

2

area of triangle B9

= 1636

= 49

area of triangle B = 49

• 9

DIF: Average REF: Lesson 11-5 TOP: Areas of similar figures. 25. ANS:

40.5 square inches

area of rectangle B72

= 912

Ê

Ë

ÁÁÁÁÁÁ

ˆ

¯

˜̃˜̃˜̃

2

area of rectangle B72

= 81144

= 916

area of rectangle B = 916

• 72

DIF: Average REF: Lesson 11-5 TOP: Areas of similar figures. 26. ANS:

about 164.6 cm3

The volume of a baseball is given by the formula 4

3 π × radius3 .

DIF: Basic REF: Lesson 12-6 TOP: Solve multi-step problems.KEY: Solve multi-step problems.

ID: X

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27. ANS:

9325.6 in3

The volume of a sphere is given by the formula 4

3 π × radius3 .

The surface area of a sphere is given by the formula 4π × radius2 .

DIF: Average REF: Lesson 12-6 TOP: Solve multi-step problems.KEY: Solve multi-step problems.