Montana Math MT.6.G.2
The Standard
Find the volume of a right rectangular prism with fractional edge lengths by filling it with unit cubes of the appropriate unit fraction edge lengths and connect and apply the formulas V = l · w · h and V = B · h to find volumes of right rectangular prisms with fractional edge lengths to solve problems in context.
2026 Montana Mathematics Content Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students count fraction-edge cubes that fill a rectangular prism and convert the count to cubic units. They use length times width times height or base area times height to find volume in word problems.
What Mastery Looks Like
- A student can show that six cubes with half-unit edges take up 3/4 cubic unit. They get the same volume using either formula and label it in cubic units.
Common Misconceptions
- Students may think a cube with half-unit edges takes up half a cubic unit instead of one eighth. They may stop after finding the base area or label volume in square units.
How to Assess It
- Exit ticket: A box measures 1 1/2 feet by 1 foot by 1/2 foot. How many half-foot cubes fit, and what is its volume in cubic feet? Show both formula calculations.
Lesson moves
Ways to Teach It
Give pairs six half-inch cubes to build a 1 1/2 by 1 by 1/2 inch prism and calculate its volume.
Ask students to draw the prism's cube layers and explain why six half-inch cubes take up 3/4 cubic inch.
Play a matching game with cards showing prism dimensions, base areas, and volumes, then have students check each match by multiplying.
Measure a small rectangular box to the nearest half inch, then estimate its capacity in cubic inches.
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Printable MT.6.G.2 Worksheet
A ready-to-print activity worksheet aligned to MT.6.G.2, with an answer key for the teacher on its own page. No account needed.
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Related Standards
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- MT.5.MD.5
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- MT.5.MD.3
Recognize volume as an attribute of solid figures and understand concepts of volume measurement by: Understanding that a cube with side length 1 unit, called a ...
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