Extra Practice Worksheets - 3D Geometry.pdf

Geometry & Probability 8Room 245Name:Date:Class:Extra Practice – 3-Dimensional SolidsIn problems 1-5, name the figure.1.In problems 6 – 10, give the numberfaces, edges, and vertices of eachshape.6.2.7.3.8.4.9. octagonal pyramid5.10. rectangular prism

Geometry & Probability 8Room 245Name:Date:Class:Extra Practice – NetsIn problems 11-15, identify the 3-dimensional figure from its net.11.In 16-20,draw the net for the statedfigure.16. Decagonal Pyramid17. Octagonal Prism12.18. A can of tuna fish13.19. A 4x4 wooden beam14.20. A textbook15.

Geometry & Probability 8Room 245Name:Date:Class:Extra Practice – Volume of Prisms and CylindersFind the volume of each figure.21.27. A pentagonal prism with a basearea of 14 square inches and aheight of 11 inches22.28. A cylinder with base circumferenceof 6 and height 9.23.29. A box has volume of 24 ft 3 and abase of 2 ft by 4ft, what is its height?24. A 6m x 7m x 2m rectangular prism30. The community center is making acircular garden that will be 18 feetacross. They want to fill it with 1 footof potting soil. How much pottingsoil should be ordered?25. A cube with edges of 8ft26. A cylinder with height of 14cm andbase diameter of 8cm31. A 3 foot wide path is being placedaround the garden in question #10.If the path is 8 inches deep, howmuch stone needs to be ordered tomake the path?

Geometry & Probability 8Room 245Name:Date:Class:Extra Practice – Volume of Pyramids, Cones, and SpheresFind the volume of the figure.32.38. A sphere with a diameter of 10m.33.39. A cone with radius 2 ft and a heightof 24 inches.34.35. A pentagonal pyramid with basearea of 16 cm 2 and a height of 12cm.40. A small waffle cone is 2 inchesacross and 6 inches deep. Ice creamis filled even with the top. If it sellsfor $2, what is the cost per cubicinch?36. A cone with base circumference of8 and height 8.37. A square pyramid with a baseperimeter of 16 ft and a height of 12ft.41. A medium cone is 4 inches acrossand 9 inches deep. How muchshould it sell for if the cost per cubicinch is the same as the small cone inquestion #40?

Geometry & Probability 8Room 245Name:Date:Class:Extra Practice – Surface Area of PrismsFind the surface area of the following figures.42.46.43.47.44.48. The photography club has a roomthat they are going to turn into a darkroom. The room is 14 feet by 11 feetby 10 feet. The walls, ceiling, andfloor will receive 2 coats of a specialpaint that covers 45 square feet pergallon. How many gallons do theyneed to purchase?45.49. A chef is making a cake that is bestdescribed as a square prism that is 1ft by 1ft by 8 inches and has 8layers. How much area must thechef ice? (There is no icing inbetween the layers or on the bottomof the cake; only on the sides andthe top of the cake.)

Geometry & Probability 8Room 245Name:Date:Extra Practice – Surface Area of PyramidsFind the surface area of the given figure.Class:50.54.51.55.52.56. A square pyramid with base edgesof 6m and slant height of 10m has itsbase edges doubled and its slantheight tripled, how many timesgreater is the surface of the newpyramid?53.57. The Louvre Pyramid is a squarepyramid made of glass and steel in frontof the Louvre Museum in Paris, France.It has base edges of 115 feet and aslant height of 91 feet. What is area thatneeded to be covered with glass? (Thebase was not covered with glass.)

Geometry & Probability 8Room 245Name:Date:Class:Extra Practice – Surface Area of CylindersFind the surface area of the given figure.57.61.58.62. A cylinder with height 10 inches andbase of 2 feet has what surfacearea?59. .63. Which is greater: A cylinder withradius 4 inches and height 6inches or radius of 6 inches andheight of 4 inches, and by howmuch?60.

Geometry & Probability 8Room 245Name:Date:Extra Practice – Surface Area of SpheresFind the surface area of the given figure.Class:64.68.65.69.66.70. Find the surface area of a sphere ifits volume is 288 cm 3 .67.71. The circumference of a soccer ball is68 cm what is its surface area?