Measurement Practice Test and Answer Key
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1 Name: Class: Date: Measurement Practice Test and Answer Key Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A rectangle measures 12 cm by 15 cm. What is the area of the rectangle in square metres? a m 2 c m 2 b m 2 d. 1.8 m 2 2. The base of a right prism has an area of 32.5 ft 2. If the prism has a volume of 572 ft 3, what is its height? a. 5.9 ft c ft b ft d ft 3. A right pyramid has a height of 24 cm and a volume of 1728 cm 3. What is the area of its base? a. 216 cm 2 c. 72 cm 2 b. 108 cm 2 d. 24 cm 2 4. Determine the length of the base of a square-based pyramid with volume 57.6 cm 3 and height 75 mm. a. 1.5 cm c. 4.8 cm b. 2.7 cm d. 7.1 cm 5. A right rectangular pyramid has a base measuring 10 yd by 9 yd. The slant height of the triangular face with the shorter base is 12 yd. The slant height of the triangular face with the longer base is 15 yd. What is the surface area of the pyramid? a. 120 yd 2 c. 460 yd 2 b. 348 yd 2 d. 580 yd 2 6. Determine the surface area of a right prism with length 8 cm, width 5 cm, and height 20 mm. a. 600 cm 2 c. 132 cm 2 b. 480 cm 2 d. 80 cm 2 7. A right triangular prism has height 10 cm and equilateral triangle bases with sides measuring 4 cm. What is the surface area of the prism, to the nearest tenth of a square centimetre? a cm 2 c cm 2 b cm 2 d cm 2 8. A right rectangular prism has a surface area of 1138 mm 2. It has length 22 mm and width 17 mm. Determine the height of the prism. a. 10 mm c. 5 mm b. 8 mm d. 3 mm 9. Which formula can be used to calculate the surface area of a right cylinder? a. SA = 2πr + πr 2 h c. SA = 2πr + 2πr 2 h b. SA = 2πr 2 + 2πrh d. SA = πr 2 h + 2πrh 10. Calculate the surface area of a right cylinder with diameter 11.4 cm and height 15.6 cm, to the nearest square centimetre. a. 763 cm 2 c. 2151cm 2 b cm 2 d cm 2 1
2 Name: 11. Calculate the surface area of a right cylinder with radius 15 in. and height 2.4 ft, to the nearest square foot. a. 9 ft 2 c. 23 ft 2 b. 12 ft 2 d. 29 ft Calculate the surface area of the right cylinder, to the nearest square foot. a. 93 ft 2 c. 48 ft 2 b. 68 ft 2 d. 23 ft A right cone has diameter 15 m and slant height 12 m. What is its surface area, to the nearest square metre? a. 459 m 2 c m 2 b. 707 m 2 d m What is the slant height of a right cone with surface area m 2 and radius 4.5 m? a. 11 m c. 15 m b. 13 m d. 30 m 15. A cylindrical sponge cake has a cream-filled middle. What is the volume of the cake part, to the nearest cubic centimetre? a. 18 cm 3 c. 102 cm 3 b. 84 cm 3 d. 119 cm A pipe s height is ten times its diameter. If the pipe has a surface area of 1350 cm 2, what is the radius of the pipe? Express the answer to the nearest tenth of a centimetre. a cm c. 4.4 cm b cm d. 3.2 cm 17. Which formula can be used to calculate the volume of a sphere? a. V = 4 3 πr3 c. V = 1 3 πr3 b. d. V = πr To the nearest cubic metre, determine the volume of a right cone with radius 3 m and height 5.5 m. a. 17 m 3 c. 69 m 3 b. 52 m 3 d. 156 m 3 2
3 Name: 19. Calculate the volume of a sphere with radius 2.8 ft, to the nearest cubic foot. a. 23 ft 3 c. 69 ft 3 b. 33 ft 3 d. 92 ft Determine the volume of a right cone with diameter 3.4 in. and height 10.8 in. Express the answer to the nearest cubic inch. a. 33 in. 3 c. 131 in. 3 b. 98 in. 3 d. 523 in Determine the radius of a sphere with volume 82.4 yd 3. Express the answer to the nearest tenth of a yard. a. 6.6 yd c. 4.3 yd b. 4.4 yd d. 2.7 yd 22. To the nearest tenth of a centimetre, what is the radius of a right cone with volume 4353 cm 3 and height 18 cm? a cm c. 6.1 cm b. 8.8 cm d. 5.1 cm 23. A sphere has five times the volume of a right cone that has a radius of 4.6 cm and a height of 7.7 cm. Determine the radius of the sphere, to the nearest tenth of a centimetre. a. 2.2 cm c. 5.9 cm b. 3.4 cm d. 9.3 cm 24. A right cone with height 23 m has half the volume of a sphere with radius 6.2 m. What is the radius of the cone, to the nearest tenth of a metre? a. 3.3 m c. 5.2 m b. 4.6 m d. 6.4 m 25. A juice carton is shaped like a right triangular prism on top of a right rectangular prism. It is filled to 80% of the total volume of the container. How much juice is in the carton, to the nearest cubic centimetre? a cm 3 c cm 3 b cm 3 d cm 3 3
4 Measurement Practice Test and Answer Key Answer Section MULTIPLE CHOICE 1. ANS: B PTS: 1 DIF: A OBJ: Section 2.1 NAT: M1 TOP: Units of Area and Volume KEY: convert within the SI system 2. ANS: B PTS: 1 DIF: B OBJ: Section 2.3 NAT: M3 TOP: Volume KEY: determine height from volume and base imperial right prism 3. ANS: A PTS: 1 DIF: B OBJ: Section 2.3 NAT: M3 TOP: Volume KEY: determine base from volume and height right pyramid SI 4. ANS: C PTS: 1 DIF: C OBJ: Section 2.1 Section 2.3 TOP: Units of Area and Volume Volume KEY: convert within the SI system determine length from volume and height right pyramid square root 5. ANS: B PTS: 1 DIF: B OBJ: Section 2.2 KEY: calculate surface area imperial right pyramid slant height 6. ANS: C PTS: 1 DIF: B OBJ: Section 2.1 Section 2.2 NAT: M1 M3 TOP: Units of Area and Volume Surface Area KEY: calculate surface area convert within the SI system right prism 7. ANS: C PTS: 1 DIF: C OBJ: Section 2.2 KEY: calculate surface area problem solving right prism SI 8. ANS: C PTS: 1 DIF: B OBJ: Section 2.2 KEY: determine height from surface area, length, and width right prism SI 9. ANS: B PTS: 1 DIF: A OBJ: Section 2.2 KEY: formula right cylinder surface area 10. ANS: A PTS: 1 DIF: B OBJ: Section 2.2 KEY: right cylinder calculate surface area SI 11. ANS: D PTS: 1 DIF: B OBJ: Section 2.1 Section 2.2 TOP: Units of Area and Volume Surface Area KEY: calculate surface area convert within the imperial system right cylinder 12. ANS: A PTS: 1 DIF: C OBJ: Section 2.1 Section 2.2 TOP: Units of Area and Volume Surface Area KEY: calculate surface area convert within the imperial system right cylinder 13. ANS: A PTS: 1 DIF: B OBJ: Section 2.2 KEY: calculate surface area right cone SI slant height 14. ANS: C PTS: 1 DIF: B OBJ: Section 2.2 KEY: right cone SI slant height surface area 1
5 15. ANS: B PTS: 1 DIF: C OBJ: Section 2.3 KEY: problem solving right cylinder SI volume 16. ANS: D PTS: 1 DIF: C OBJ: Section 2.2 KEY: determine radius from surface area and diameter right cylinder SI square root 17. ANS: A PTS: 1 DIF: A OBJ: Section 2.3 NAT: M3 TOP: Volume KEY: formula sphere volume 18. ANS: B PTS: 1 DIF: A OBJ: Section 2.3 KEY: calculate volume right cone SI 19. ANS: D PTS: 1 DIF: A OBJ: Section 2.3 KEY: calculate volume imperial sphere 20. ANS: A PTS: 1 DIF: B OBJ: Section 2.3 KEY: calculate volume imperial right cone 21. ANS: D PTS: 1 DIF: B OBJ: Section 2.3 KEY: cube root determine radius from volume imperial sphere 22. ANS: A PTS: 1 DIF: B OBJ: Section 2.3 KEY: determine radius from volume and height right cone square root SI 23. ANS: C PTS: 1 DIF: C OBJ: Section 2.3 KEY: cube root problem solving right cone SI sphere volume 24. ANS: B PTS: 1 DIF: C OBJ: Section 2.3 KEY: problem solving right cone SI sphere square root volume 25. ANS: A PTS: 1 DIF: D OBJ: Section 2.3 NAT: M3 TOP: Volume KEY: problem solving right prism SI volume 2
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