Georgia 6.GSR.5.3
The Standard
Calculate the volume of right rectangular prisms with fractional edge lengths by applying the formula, V = (area of base) x (height).
Georgia's K-12 Mathematics Standards · Solve relevant problems involving area, surface area, and volume.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students find the area of one rectangular face using fractional side lengths. They multiply that area by the perpendicular height and label the result in cubic units.
What Mastery Looks Like
- Students can multiply fractional dimensions accurately and identify the base area before using the height. They show clear work and report the result in cubic units.
Common Misconceptions
- Students may use the perimeter instead of the area of the base, or multiply only two dimensions. They may mishandle mixed numbers or label volume with square units instead of cubic units.
How to Assess It
- Exit ticket: A prism has a 3 1/2 cm by 2 cm base and a height of 1 1/2 cm. Find the base area and volume, including units.
Lesson moves
Ways to Teach It
Fold grid-paper nets into rectangular prisms, label fractional edge lengths, find each base area, then multiply by height.
Explain with a labeled sketch why multiplying the base area by height gives cubic units when the dimensions include fractions.
Sort cards showing prism dimensions, base areas, and volumes, then match each set and check with a partner.
Calculate how much packing material fills a 12.5-inch by 8-inch by 4.5-inch shipping box.
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Printable 6.GSR.5.3 Worksheet
A ready-to-print activity worksheet aligned to 6.GSR.5.3, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 5.GSR.8.3
Investigate volume of right rectangular prisms by packing them with unit cubes without gaps or overlaps. Then, determine the total volume to solve problems.
- 5.GSR.8.4
Discover and explain how the volume of a right rectangular prism can be found by multiplying the area of the base times the height to solve authentic, mathemati...
- 5.GSR.8
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- 7.GSR.5.8
Explore volume as a measurable attribute of cylinders and right prisms. Find the volume of these geometric figures using concrete problems.
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