Maryland Math 6.GR.A.2.a
The Standard
- 6.GR.A.2
- Find the volume of a right rectangular prism with fractional edge lengths.
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.
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 pack a rectangular prism with unit cubes and count the cubes in one layer. They use the number of layers to explain why multiplying length, width, and height gives the total cube count.
What Mastery Looks Like
- A student can estimate the total cubes, then find the exact count by multiplying the three edge lengths. They can point to the cubes in one layer and explain what each number in the multiplication means.
Common Misconceptions
- Students may multiply only length and width, finding one layer instead of the whole prism. Some count visible cubes only, or give the answer in square units instead of cubic units.
How to Assess It
- Show a prism that is 7 cubes long, 4 cubes wide, and 3 cubes high. Ask students to estimate the total, then sketch one layer and write a multiplication equation to find the exact count.
Lesson moves
Ways to Teach It
Build a 3-by-4-by-2 prism with 1-centimeter cubes, count one layer, then predict and check the total.
Show a sketch of two cube layers and ask, "Why does multiplying the three edge lengths count every cube once?"
Give pairs dimension cards and cubes; one partner estimates the count while the other builds the prism and checks by multiplication.
Use a gift box with inside dimensions of 10 by 6 by 4 centimeters; estimate its cube capacity, then calculate it.
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Printable 6.GR.A.2.a Worksheet
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- 6.GR.A.2
Find the volume of a right rectangular prism with fractional edge lengths.
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