Surface Area and olume wkst 1 No WOft Name: _ 1. I I The volume of a rectangular solid is 180 cubic centimeters. The length is 10 centimeters, and the width is 4 centimeters. Using the formula = lwh, calculate the height. 1. 4.5 centimeters 2. 45 centimeters 3. 72 centimeters 4. 7200 centimeters 6. How many edges does this hexagonal prism have? ~ Answer: 0 2. I... "'J 10 cm 7. Which polygon makes up the bases of this prism? 20cm 15 cm Figure 1 Jed bought a generator that will run for 2 hours on a liter of gas. The diagram shows the gas tank on the generator as a rectangular prism with dimensions 20 ern by 15 em by 10 em. If Jed fills the tank with 9gas, how long will the generator run? 1. 1.5 hours 3. 3 hours 2. 2 hours 4. 6 hours 1. hexagon 2. heptagon 3. octagon 4. nonagon 8. [- J.? Which polygon makes up the bases of this prism. 3. A right circular cylinder has a base whose area is 12n. If the height of the cylinder is 6, the volume of the cylinder is 1. 18n 3. 36n 2. 24n 4. 72n 1. hexagon 2. heptagon 3. octagon 4. nonagon -------------- ; 4. : A cardbo~rd box has length x - 2, width x + 1, and height 2x. If.x = 8 centimeters, what is the number of cubic centimeters in the volume of the box? Answer: 0 cm'.5.. How many faces does a pentagonal prism have? : Answer: ['~"~] 9. Find the volume of the rectangular box....... 40 em.;: 10 em = C'....'. ii ;. 1!{..;... 'f.-.!ii. 10 em I cubic centimeters --------------
10. What is the total surface area of the prism? 15 em 20C:.4'.... 14. Find the surface area of the cylinder. Use a calculator and round your answer to the nearest tenth of a square centimeter. SA = D square centimeters SA = 1.._..._ -' square centimeters 11. Find the volume of this rectangular box. 15. Find the volume of this cylinder. Round your answer to the nearest cubic centimeter. 12 em (diameter) 35 in. =D cubic inches 12. Find the surface area of the gift box. =D cubic centimeters 16. What is the volume of this cone to the nearest cubic millimeter?. SA = [! square centimeters 13. Find the surface area of the cylinder. Use a calculator and round your answer to the nearest hundredth of a square centimeter. L...l cubic millimeters 3cm 17. A tent for a family of 6 is on sale for $109.99. SA = D square centimeters Find the volume of space inside the tent for the family to sleep. L..._~.J cubic feet
18. Ryan's birthday cake was made by using a cylindrical baking pan. 21. The Smith family wanted to design a cone statue to advertise their ice cream stand at the state fair. lithe top layer has a 10 inch diameter and is 6 inches tall, what is the capacity ofthe pan, to the nearest cubic inch? L ] cubic inches 19. A ju.ice can has a diameter of 16 centimeters and a height of 27 centimeters. If the diameter of the cone is 5 ft and the height is 10 ft, how much concrete did they use to fill it? Round your answer to the nearest cubic foot. = L! cubic feet How much juice does this can hold? Round your answer to the nearest cubic centimeter. ==0 cubic centimeters 22.0 Which piece of paper can be folded into a pyramid? 20. Find the volume of the prism. 8m 2m 1. 3. f == L-..-_--' cubic meters 2. 4. 23. Triangle ABC r.epre~entsa metal flag on pole AD, as shown in the accompanymg diagram. On a windy day the triangle spins around the pole so fast that it looks like a three-dimensional shape. A B D- c Which shape would the spinning flag create? 1. sphere 3. right circular cylinder 2. pyramid 4. cone 24. How many vertices does this trapezoidal prism have? \5# Answer: D
25. Find the surface area of the closed cylinder shown in the diagram. Its radius is 2 centimeters and its height is 6 centimeters. 28. The diagram shows a cube. A"....;.F ~G ~E I B~-~ c D Which of the following statements isfalse? 1. AE -= BG 2. FC >.AH 3. EC -= GH 4. Surface Area = 6(edge)2 ~. 1. 321t cm 2 2. 281t cm 2 3. 401t cm2 4. 561t cm 2 29. The base of a pyramid is a rectangle with a width of 6 em and a length of 8 ern. Find, in centimeters, the height of the pyramid if the volume is 288 cm'. 26. What is the volume of a regular pyramid whose base has an area of 36 ft2 and whose height is 13 ft? 1. 156 ft3 3. 234 ft3 2. 468 ft3 4. 78 ft3 r Answer: i em 27. The diagram shows a rectangular solid. [} H A /i E/ :C 1/ 12 G B F Which of the following statements must be true? 1. CG-= EH 2. DHIIBF 3. GF -= EF 4. FG~EH
'*F"\if\d -+,,\/\.10 olume o..nd SU("~QC:~ A-r..{}- Name.. vro..ch' Cf!-. ------ SO~fCilJL ccceo: for.* 4,5,Wi;0 Find how many cubes the prism holds, and tell the volume of, 411II 1_---m"k the 10e±m prism. 3 llim ~'._-$../././././ 2.././././././ 4. 5. 9 in. 4 in. 5 in. 7. 8. 8.3mm '~ 5 yd ~ ~.> 9 yd 11C~m 1//. ":.~:~. 13 em B= 75.2 mm 2 10. U7ft 4ft 11. EJ6in 8 in.. ' e.nfj*l oc. ~ (';e.ct"t )"y\. ;2., f-f la, EJJ4in ''f.. 5cm 7 in. 3 in. --../ 3ft ", 8.tt 6. ~. 12. ". 7.4 in. c.t, m c.. 5II '" _Ail. _1_';:. 1. IIiI!l9"*l!I1l1ll'l<. " 8. ~,r.w;. C) r,.-m!!w:;.' 3 C~L--) ) f,".=( 2cm L----"" 2..:T'n 2.1 in. 11, ~{'l'.:ttl:-):~: ----~ I~. ~»",!,,:..:. IS. 'IL_..."...--~ I'f t ~~.t?..:::.;,\ s cm ~'!""'P{\~:':'~IfK':'. 4.1 in. L...--=-::-~...-..- 3.7 in. 8.2 in.