Name: Pd: Date: a. What type of solid mold is needed to make cannonballs?
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1 Worksheet The ChocoWorld Candy Company is going to enter a candy competition in which they will make a structure entirely out of chocolate. They are going to build a fairytale castle using several different molds, and they need to make the molds using a drill bit that will create the shape they are striving for. 1. To complete the castle, the company is going to create small cannonballs for the cannon that will be situated on the roof of the castle. a. What type of solid mold is needed to make cannonballs? b. Which of the drill bits shown will form the mold needed if the cannonballs will have a radius of 0.25 inch? c. What is the shape of the drill bit that will create the cannonball mold? Theodore is starting a new company that will manufacture food storage containers. He asks his engineers to design several different containers based on which type of containers will sell the best. 2. The base of one container is a triangle. a. Translate the triangle in a diagonal direction to create a second triangle. b. Use dashed line segments to connect each pair of corresponding vertices in the triangles. c. What do you notice about the relationship among the line segments in your drawing? d. What is the name of the solid formed by this translation?
2 Write the name of the solid figure that would result from rotating the plane figure shown around the axis shown Relate the dimensions of the plane figure to the solid figure that results from its rotation around the given axis Match each definition to its corresponding term. a. dotted paper used to show three-dimensional diagrams b. a prism with rectangles as bases whose lateral faces are not perpendicular to those bases c. a 3-dimensional object with two parallel, congruent, circular bases, and a lateral face not perpendicular to those bases d. a prism with triangles as bases whose lateral faces are not perpendicular to those bases e. a 3-dimensional object with two parallel, congruent, circular bases, and a lateral face perpendicular to those bases f. a prism with triangles as bases whose lateral faces are perpendicular to those bases g. a prism with rectangles as bases whose lateral faces are perpendicular to those bases 8. oblique triangular prism 9. oblique rectangular prism 10. oblique cylinder 11. isometric paper 12. right triangular prism 13. right rectangular prism
3 14. right cylinder Connect the corresponding vertices of the figure and the translated figure. Name the shape that was translated and name the resulting solid figure Name the solid formed by stacking 1000 of the congruent shapes shown
4 4.1, 4.2 Worksheet Answer Section 1. ANS: a. A spherical mold is needed to create cannonballs. b. Drill bit B will form a spherical mold with a radius of 0.25 inch. c. The shape of the drill bit is a circle. PTS: 1 REF: 4.1 STA: 10.A TOP: Assignment 2. ANS: a. See diagram. b. See diagram. c. The line segments appear to be parallel and congruent to each other. d. The solid formed by translating a triangle is a triangular prism. PTS: 1 REF: 4.2 STA: 11.C 11.D TOP: Assignment 3. ANS: cylinder 4. ANS: cone 5. ANS: cone
5 6. ANS: The base of the rectangle is equal to the radius of the cylinder s base. 7. ANS: The radius of the circle is equal to the radius of the sphere. 8. ANS: D PTS: 1 REF: 4.2 STA: 11.C 11.D 9. ANS: B PTS: 1 REF: 4.2 STA: 11.C 11.D 10. ANS: C PTS: 1 REF: 4.2 STA: 11.C 11.D 11. ANS: A PTS: 1 REF: 4.2 STA: 11.C 11.D 12. ANS: F PTS: 1 REF: 4.2 STA: 11.C 11.D 13. ANS: G PTS: 1 REF: 4.2 STA: 11.C 11.D 14. ANS: E PTS: 1 REF: 4.2 STA: 11.C 11.D 15. ANS: right triangle; right triangular prism
6 PTS: 1 REF: 4.2 STA: 11.C 11.D 16. ANS: square; square prism PTS: 1 REF: 4.2 STA: 11.C 11.D 17. ANS: cylinder PTS: 1 REF: 4.2 STA: 11.C 11.D 18. ANS: triangular prism PTS: 1 REF: 4.2 STA: 11.C 11.D 19. ANS: rectangular prism PTS: 1 REF: 4.2 STA: 11.C 11.D
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