Learning Goal
Part of: Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition — 3 of 3 cluster items
Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume
**5.MD.C.5**: Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. a. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Apply the formulas V = l x w x h and V = b x 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. b. 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.
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5.MD.C.5: Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. a. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Apply the formulas V = l x w x h and V = b x 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. b. 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.
What you'll learn
- Determine the volume of a right rectangular prism by counting unit cubes organized in layers and connect that count to the multiplication of edge lengths (length x width x height)
- Apply the formula V = l x w x h to find the volume of right rectangular prisms with whole-number edge lengths in both mathematical and real-world contexts
- Explain why V = l x w x h and V = B x h (where B is the area of the base) are equivalent formulas and describe what each variable represents
- Recognize that volume is additive — the volume of a solid figure composed of two non-overlapping right rectangular prisms equals the sum of their individual volumes
- Decompose composite solid figures (L-shapes, T-shapes, stepped figures) into two non-overlapping right rectangular prisms, calculate each volume, and add them to find the total volume
Slides
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Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback