CCSS.Math.Content.5.MD.C.5b
The standard
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.
Common Core State Standards for Mathematics
What this standard means
Students need to find the volume of right rectangular prisms using length times width times height, or base area times height. They should know that volume is counted in cubic units, not square units, and connect the formula to layers of unit cubes.
Mastery looks like choosing the right measurements, multiplying accurately, labeling cubic units, and explaining why both formulas work. Students often mix up area and volume, forget the unit label, or use only two dimensions. Some also struggle when the base area is given instead of length and width.
Ways to teach it
- Build several rectangular prisms with centimeter cubes, record length, width, height, and calculate volume beside each model.
- Ask students to explain in writing why a prism with base area 24 square units and height 5 has volume 120 cubic units.
- Give three prism diagrams with whole-number dimensions and ask students to find volume and label each answer with cubic units.
- Use a cereal box or tissue box and have students measure edges, then estimate and calculate how much space it holds.
Plan a lesson for CCSS.Math.Content.5.MD.C.5b
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Related standards
- CCSS.Math.Content.5.MD.C.5a
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 foun...
- CCSS.Math.Content.5.MD.C.5c
Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlappin...
- CCSS.Math.Content.6.G.A.2
Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show ...
- CCSS.Math.Content.4.MD.A.3
Apply the area and perimeter formulas for rectangles in real world and mathematical problems.