Test Chapter 11. Matching
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1 Test Chapter 11 Matching Match each vocabulary term with its definition. a. cube b. cylinder c. cone d. sphere e. prism f. pyramid g. hemisphere 1. a polyhedron formed by a polygonal base and triangular lateral faces that meet at a common vertex 2. a prism with six square faces 3. a polyhedron formed by two parallel congruent polygonal bases connected by lateral faces that are parallelograms 4. a three-dimensional figure with two parallel congruent circular bases and a curved lateral surface that connects the bases 5. a three-dimensional figure with a circular base and a curved lateral surface that connects the base to a point called the vertex Match each vocabulary term with its definition. a. cross section b. edge c. area d. volume e. vertex f. perimeter g. face 6. the number of nonoverlapping unit cubes of a given size that will exactly fill the interior of a three-dimensional figure 7. the intersection of a three-dimensional figure and a plane 8. a segment that is the intersection of two faces of the figure 9. a flat surface of the polyhedron 10. the point that is the intersection of three or more faces of the figure Short Answer 1. Classify the figure. Name the vertices, edges, and base.
2 A F B D C 2. Describe the three-dimensional figure that can be made from the given net. 3. Describe the cross section. 4. A sandwich shop sells cheese. How can the chef cut a square pyramid-shaped piece of cheese to make slices that are squares? 5. A fish tank is in the shape of a rectangular prism. The height of the tank is 18 in. The width of the tank is 17 in. The length of the tank is 38 in. Find the amount of water the tank can hold to the nearest gallon. (Hint: 1 gallon ft 3.)
3 6. The radius and height of the cylinder are multiplied by 4. Describe the effect on the volume. 3 cm 6 cm 7. Find the volume of a rectangular pyramid with length 11 m, width 7 m, and height 8 m. Round to the nearest tenth, if necessary. 8. The base area of a model square pyramid is 1,000 sq ft. The height of the pyramid is 100 ft. Find the volume of the pyramid in cubic feet. Round to the nearest cubic foot. 9. Find the volume of the composite figure. Round to the nearest hundredth.
4 3 ft 3 ft 6 ft 10. Find the volume of the three-dimensional figure in terms of x. 3x 2 x + 1 x 11. Find the diameter of a sphere with volume in 3.
5 Test Chapter 11 Answer Section MATCHING 1. ANS: F PTS: 1 DIF: Basic REF: 1c892daa df-9c7d f0d2ea LOC: MTH.C ANS: A PTS: 1 DIF: Basic REF: 1c8b68f df-9c7d f0d2ea 3. ANS: E PTS: 1 DIF: Basic REF: 1c92900a df-9c7d f0d2ea LOC: MTH.C ANS: B PTS: 1 DIF: Basic REF: 1c8df df-9c7d f0d2ea LOC: MTH.C ANS: C PTS: 1 DIF: Basic REF: 1c902dae df-9c7d f0d2ea LOC: MTH.C ANS: D PTS: 1 DIF: Basic REF: 1c92b71a df-9c7d f0d2ea LOC: MTH.C TOP: 11-2 Volume of Prisms and Cylinders 7. ANS: A PTS: 1 DIF: Basic REF: 1c94f df-9c7d f0d2ea LOC: MTH.C ANS: B PTS: 1 DIF: Basic REF: 1c9c197a df-9c7d f0d2ea 9. ANS: G PTS: 1 DIF: Basic REF: 1c977bd df-9c7d f0d2ea 10. ANS: E PTS: 1 DIF: Basic REF: 1c9c408a df-9c7d f0d2ea SHORT ANSWER 1. ANS: rectangular pyramid vertices: A, B, C, D, F edges: base: rectangle DCBF All edges converge at the top of the figure, indicating that the figure is a pyramid. The base of the pyramid is the rectangle DCBF. Therefore, the shape is a rectangular pyramid. The vertices are A, B, C, D, and F. The indicated lines, including dashed lines, represent the edges:.
6 PTS: 1 DIF: Basic REF: 1c3f1d df-9c7d f0d2ea OBJ: Classifying Three-Dimensional Figures LOC: MTH.C MTH.C MTH.C KEY: classify solids pyramid prism 2. ANS: hexagonal prism The net has two congruent hexagonal faces. The remaining faces are parallelograms, so the net forms a triangular prism. PTS: 1 DIF: Average REF: 1c3f df-9c7d f0d2ea OBJ: Identifying a Three-Dimensional Figure From a Net STA: FL.NGSSS.MTH MA.912.G.7.1 LOC: MTH.C KEY: net solid 3. ANS: The cross section is a circle. The cross section is the intersection of the cylinder and the plane. The cross section is a circle. PTS: 1 DIF: Basic REF: 1c417fd df-9c7d f0d2ea OBJ: Describing Cross Sections of Three-Dimensional Figures NAT: NT.CCSS.MTH G.GMD.4 LOC: MTH.C KEY: solid cross-section 4. ANS: Cut parallel to the base. A square pyramid has a square base, with segments from the vertices of the base that are concurrent at one point. To create a square piece, slice in the direction of the square base, or parallel to the square base. PTS: 1 DIF: Average REF: 1c43e22e df-9c7d f0d2ea
7 OBJ: Application NAT: NT.CCSS.MTH G.GMD.4 LOC: MTH.C KEY: solid cross-section MSC: DOK 2 5. ANS: 50 gallons Find the volume of the tank in cubic feet. Use the conversion factor to find the volume in gallons. The tank can hold about 50 gallons of water. PTS: 1 DIF: Average REF: 1c6a07ee df-9c7d f0d2ea OBJ: Application LOC: MTH.C TOP: 11-2 Volume of Prisms and Cylinders KEY: prism volume unit analysis MSC: DOK 2 6. ANS: The volume is multiplied by 64. Original dimensions: Radius and height multiplied by 4: The volume is multiplied by 64. PTS: 1 DIF: Average REF: 1c6c6a4a df-9c7d f0d2ea OBJ: Exploring Effects of Changing Dimensions STA: FL.NGSSS.MTH MA.912.G.7.7 LOC: MTH.C TOP: 11-2 Volume of Prisms and Cylinders KEY: change dimensions cylinder volume MSC: DOK 2 7. ANS: m 3 m 3 PTS: 1 DIF: Basic REF: 1c712f df-9c7d f0d2ea OBJ: Finding Volumes of Pyramids NAT: NT.CCSS.MTH G.GMD.3 LOC: MTH.C TOP: 11-3 Volume of Pyramids and Cones KEY: volume pyramid MSC: DOK 2 8. ANS: 33,333 ft 3 Use the formula for volume of a regular pyramid. Substitute 1,000 for B and 100 for h. PTS: 1 DIF: Average REF: 1c73915e df-9c7d f0d2ea
8 OBJ: Application NAT: NT.CCSS.MTH G.GMD.3 LOC: MTH.C MTH.C TOP: 11-3 Volume of Pyramids and Cones KEY: volume pyramid MSC: DOK 2 9. ANS: ft 3 The volume of the cylinder is The volume of the cone is The volume of the water tank is the sum of the volumes. V = (cylinder volume) + (cone volume). PTS: 1 DIF: Average REF: 1c df-9c7d f0d2ea OBJ: Finding Volumes of Composite Three-Dimensional Figures NAT: NT.CCSS.MTH G.GMD.3 LOC: MTH.C TOP: 11-3 Volume of Pyramids and Cones KEY: composite figure cone cylinder volume MSC: DOK ANS: Volume of a right rectangular prism Substitute for l, x for w, and 3x for h. Simplify. PTS: 1 DIF: Advanced REF: 1c6ef3b df-9c7d f0d2ea LOC: MTH.C TOP: 11-2 Volume of Prisms and Cylinders KEY: volume prism MSC: DOK ANS: in. in. Volume of a sphere Substitute 972 for V. Divide both sides by. Take the cube root of both sides. PTS: 1 DIF: Average REF: 1c787d df-9c7d f0d2ea OBJ: Finding Volumes of Spheres NAT: NT.CCSS.MTH G.GMD.3 LOC: MTH.C MTH.C TOP: 11-4 Spheres KEY: volume sphere MSC: DOK 2
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