+~üý@ >šHHÛ@ÿçÿîÿR#(ü,, ç `,- ^ì&'dA x<x<€LÔp5ÿUNIT 8 - WORKING WITH SHAPED IN THREE DIMENSION`ÿEND OF UNIT QUIZ `ÿNAME: PER: DATE:`ÿpB ÿShow the formula that you use to solve each of the problems.0DIf a diagram is not provide sketch one out and label the dimensions.0GAll answers must include correct units in order to receive full credit.0Use the value 3.14 for II - E1. A certain box is a cube with sides that measure 36 inches each. 0=How many square feet of cardboard are needed to make the box?     @2. How many cubic feet of sand will the box in question 1 hold?     G3. If one gallon of paint covers 400 square ft, how many gallons will Jbe needed to paint the walls (including the inside of the door), ceiling, 0Gand floor of a closet that is 4 feet deep, 5 feet wide and 8 feet high?         J4. If a concrete finisher pours a sidewalk that is 4 inches deep, 1 yard Bwide, and 20 yards long, how many cubic yards of concrete will be 0used?       C5. How many square inched of sheet metal are needed to make a box Hthat is a 1.5 ft cube? The cube is open at the top (that is, there are 02only 5 faces). Do not allow for overlap of seams.      G6. A container is a cube with sides measuring 2 ft each. What is the (volume of the container in cubic inches?    pG ÿUse the drawing of the tank shown below to answer questions 7-11. p ÿ     0)7. What is the radius of the hemisphere?  0'8. What is the radius of the cylinder?  089. What is the height of the cylinder part of the tank? p ÿ p? ÿ10. What is the circumference of either end of the tank?       $11. What is the volume of the tank?    pJ ÿUse the following drawing of a water tank to answer questions 12-16.        p ÿ  @12. What three separate geometric figures are used to make the 0water tank in the drawing? 0 1. 2. 3. 0213. What is the overall height of the water tank?    C14. How many cubic feet of water will the top section of the tank 0hold?    F15. How many cubic feet of water will the middle section of the tank 0hold?    F16. How many cubic feet of water will the middle section of the tank 0hold?        A17. A rectangular brass box and a cylinder brass box are both 3 Hinched high. One has a base that is 2.5 inches by 4 inches. The other Chas a base that is 3.8 inches in diameter. Which box has a larger P:volume. ÿ(You must show all calculations to receive 0credit for this question)p ÿp ÿ p ÿ   B18. A refrigerator has inside measurements of 50 cm wide, 118 cm 0,high, and 44 cm deep. What is its capacity?     F19. A child's open wading pool is made of plastic. How much plastic 0-will it take to make the pool in the drawing?            D20. How many cubic yards of air are in a room 12 feet long, 8 feet 0wide and 9 feet high?         D21. Which has a larger volume, a 1-ft cube or a sphere with a 1-ft @Bdiameter?  ÿ(You must show all calculations to receive credit pfor this question) ÿ      G22. Which has a larger surface area, a 1-ft cube or a sphere with a 1-PJft diameter? ÿ ÿ(You must show all calculations to receive credit pfor this question) ÿ€LÔp ÿ    F23. The inside measurements of a can are 9.8 cm in diameter and 13.2 0/cm in height. What is the capacity of the can?       F24. Using the can in question 23, find the total surface area of the 0can. (Both ends are covered)        F25. A room has a ceiling of 8.5 feet and is 12 feet wide and 16 feet Elong. The room has two windows that are 36 inched, by 48 inches and Etwo doors that are 36 inches by 79 inches. How much paint is needed Cfor the walls of the room if paint covers 75 square feet per quart?    €CÔ`< ÿÿUNIT 8 - WORKING WITH SHAPED IN THREE DIMENSION`#ÿEND OF UNIT QUIZ - ANSWER KEY€LÔ` ÿ`ÿ1. 54 sq ft  2. 27 cu ft  3. 0.46 gal 4. 2.22 cu yd 5. 1620 sq in 6. 13824 cu in 7. 7 ft 8. 7 ft  9. 28 ft  10. 43.96 ft 11. 5744.11 cu ft '12. 1. cone 2. hemisphere 3. cylinder  13. 34 ft 14. 226.08 cu ft 15. 2486.88 cu ft 16. 452.16 cu ft 17. The cylinder box 18. 259,600 cu cm 19. 47.10 sq ft  20. 32 cu yd  21. Cube  22. Cube 23. 995.17 cu cm 24. 556.97 sq cm  25. 5.50 qt