Florida B.E.S.T. MA.5.GR.3.3
The Standard
Solve real-world problems involving the volume of right rectangular prisms, including problems with an unknown edge length, with whole-number edge lengths using a visual model or a formula. Write an equation with a variable for the unknown to represent the problem.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students find a prism's volume or determine a missing edge length from the volume and two known edges. They use a drawing or formula, write an equation with a variable, and include correct units.
What Mastery Looks Like
- Students choose an equation that matches the prism and solve it accurately. They can show that 120 = 5 × 6 × h gives h = 4 and label the answer in linear units.
Common Misconceptions
- Students may add the edge lengths instead of multiplying them. They may confuse base area with volume or label answers with square units. When an edge is unknown, they may divide by only one known edge instead of the product of both.
How to Assess It
- Give this exit ticket: A box has volume 180 cubic inches, length 10 inches, width 6 inches, and height h. Draw a model, write an equation, solve for h, and label the answer.
Lesson moves
Ways to Teach It
Build a prism with unit cubes on a 3-by-4 base, stop at 60 cubes, then record and verify the missing height.
Discuss why 120 = 5 × 6 × h and h = 120 ÷ (5 × 6) describe the same box.
Match card sets showing prism dimensions, a volume, and a missing-edge equation, then check each match with multiplication.
Plan a shipping box with a 24-square-inch base and 144-cubic-inch capacity, then calculate the height needed.
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Related Standards
- MA.6.GR.2.3
Solve mathematical and real-world problems involving the volume of right rectangular prisms with positive rational number edge lengths using a visual model and ...
- MA.5.GR.3
Solve problems involving the volume of right rectangular prisms.
- MA.5.GR.3.2
Find the volume of a right rectangular prism with whole-number side lengths using a visual model and a formula.
- MA.3.GR.2.3
Solve mathematical and real-world problems involving the perimeter and area of rectangles with whole-number side lengths using a visual model and a formula.
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