Maryland Math 5.GR.C.5.b
The Standard
- 5.GR.C.5
- Relate volume to the operations of multiplication and addition and solve problems in context.
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 to solve problems in the context.
Maryland College and Career Ready Standards for Mathematics (2025) · UNDERSTAND CONCEPTS OF VOLUME AND RELATE VOLUME TO MULTIPLICATION.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students find the volume of a rectangular prism with whole-number edge lengths. They multiply length, width, and height, or find the area of the base and multiply by the height.
What Mastery Looks Like
- A student can find the base area, then use the number of layers to find the total volume. They can solve a box problem and label the answer in cubic units.
Common Misconceptions
- Some students add the three edge lengths instead of multiplying them. Others use the perimeter as the base area or label volume in square units.
How to Assess It
- Exit ticket: A box is 4 cm long, 3 cm wide, and 5 cm high. Find its base area and volume, and label each answer with the correct units.
Lesson moves
Ways to Teach It
Build a 4 by 3 base with centimeter cubes, stack 2 layers, and count the cubes.
Ask: Why does 4 × 3 × 2 give the same volume as 12 × 2? Explain what 12 represents.
Play Volume Match with cards showing box dimensions, base areas, and volumes; students match each set and check by multiplying.
Show a shipping box diagram labeled 12 by 8 by 5 inches, then calculate its packing space in cubic inches.
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Printable 5.GR.C.5.b Worksheet
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Related Standards
- 5.GR.C.5.a
Find the volume of a right rectangular prism with whole-number side lengths by filling it with unit cubes in layers and show that the volume is the same as woul...
- 5.GR.C.5.c
Determine the volumes of composite figures by decomposing them into non-overlapping right rectangular prisms and adding their volumes together to solve problems...
- 6.GR.A.2.b
Apply the formulas V = lwh and V = B · h (B is the area of the base) to find the volumes of right rectangular prisms with fractional edge lengths in context.
- 6.GR.A.2
Find the volume of a right rectangular prism with fractional edge lengths.
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