Maryland Math 6.GR.A.2.b
The Standard
- 6.GR.A.2
- Find the volume of a right rectangular prism with fractional edge lengths.
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.
Maryland College and Career Ready Standards for Mathematics (2025) · SOLVE PROBLEMS IN CONTEXT INVOLVING AREA, SURFACE AREA, AND VOLUME
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students work out how much space a box holds when its side lengths are fractions. They find the area of the bottom and multiply by the height, or multiply all three side lengths. They give the answer in cubic units.
What Mastery Looks Like
- Given fractional box dimensions, a student finds the base area and uses it to calculate the volume. They get the same result by multiplying all three dimensions and label it in cubic units.
Common Misconceptions
- Some students use one base edge or the base perimeter for B instead of the base area. Others add the three side lengths or label the volume in square units.
How to Assess It
- Exit ticket: A tank measures 1½ ft by ⅔ ft by ¾ ft inside. Find its base area and volume, show both methods, and include units.
Lesson moves
Ways to Teach It
Cut and fold a net from half-inch grid paper to make a 1½ by 2 by ½ inch box, then calculate its volume.
Ask students to explain why multiplying all three side lengths gives the same answer as finding the bottom area first.
Give pairs prism cards with fractional dimensions and volume cards; have them match each pair and check the calculations.
Give students the inside dimensions of a storage bin, 2½ by 1½ by 3 feet, and ask for its capacity in cubic feet.
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Related Standards
- 6.GR.A.2.a
By packing prisms with unit cubes and using estimation to show that the volume can be found by multiplying the edge lengths of the prism.
- 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.b
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 probl...
- 6.GR.A.2
Find the volume of a right rectangular prism with fractional edge lengths.
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