Unit 23: 3D Shapes and Volume (Demo Version) Read each question carefully. AZ-5.MD.5b Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition: Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems. 1) What is the volume of the right rectangular prism if the base measures 5 centimeters long and 3 centimeters wide and the height of the prism is 18 centimeters? A) 33 cubic cm B) 144 cubic cm C) 270 cubic cm D) 330 cubic cm _______________________________________________________________ 1 Unit 23: 3D Shapes and Volume (Demo Version) AZ-5.MD.5b Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition: Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems. 2) What is the volume, in cubic inches, of the rectangular prism shown below? A) 6 B) 21 C) 42 D) 82 _______________________________________________________________ 2 Unit 23: 3D Shapes and Volume (Demo Version) AZ-5.MD.5b Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition: Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems. 3) Which rectangular prism has the same volume as the rectangular prism in Figure 1? A) B) C) D) _______________________________________________________________ 3 Unit 23: 3D Shapes and Volume (Demo Version) AZ-5.MD.5b Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition: Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems. 4) What is the volume, in cubic feet, of the right rectangular prism below? A) B) C) D) _______________________________________________________________ AZ-5.MD.5c Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition: Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. 5) What is the volume of this figure? A) 13 cubic centimeters B) 17 cubic centimeters C) 18 cubic centimeters D) 20 cubic centimeters _______________________________________________________________ 4 Unit 23: 3D Shapes and Volume (Demo Version) AZ-5.MD.5c Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition: Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. 6) A shipping company used two different-sized cube-shaped boxes, shown below. How much MORE total volume, in cubic feet, does the larger box contain than the smaller? A) 8 cubic feet B) 19 cubic feet C) 29 cubic feet D) 35 cubic feet _______________________________________________________________ AZ-5.MD.5c Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition: Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. 7) What is the volume of this figure? A) 7 cubic centimeters B) 8 cubic centimeters C) 9 cubic centimeters D) 12 cubic centimeters _______________________________________________________________ 5
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