Georgia 7.GSR.5.8
The Standard
Explore volume as a measurable attribute of cylinders and right prisms. Find the volume of these geometric figures using concrete problems.
Georgia's K-12 Mathematics Standards · Solve practical problems involving angle measurement, circles, area of circles, surface area of prisms and cylinders, and volume of cylinders and prisms composed of cubes and right prisms.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students calculate how much space is inside right prisms and cylinders. They find the base area, multiply by the perpendicular height, and label answers in cubic units.
What Mastery Looks Like
- Given a diagram or context, a student identifies the base, finds its area, and multiplies by the perpendicular height. The student uses cubic units, distinguishes radius from diameter, and gives exact or rounded cylinder volumes when requested.
Common Misconceptions
- Students may find surface area instead of volume, or use square units rather than cubic units. For cylinders, they often use the diameter as the radius or forget to square the radius. For nonrectangular prisms, they may multiply three shown lengths without first finding the base area.
How to Assess It
- Exit ticket: A cylinder has diameter 10 cm and height 7 cm. Find its volume in terms of π and as a decimal, then explain why the units are cubic centimeters.
Lesson moves
Ways to Teach It
Build rectangular prisms with centimeter cubes, sketch each layer, and use the layer count to derive base area times height.
Compare a cylinder and right prism with equal heights, then write which holds more and justify your claim from their base areas.
Play Volume Match by pairing dimension cards, solid diagrams, formulas, and volume cards, then check each set with a calculator.
Measure an oatmeal can and a cereal box, calculate each volume, and compare the results with their listed capacities.
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Printable 7.GSR.5.8 Worksheet
A ready-to-print activity worksheet aligned to 7.GSR.5.8, 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.
- 8.GSR.8.4
Apply the formulas for the volume of cones, cylinders, and spheres and use them to solve in relevant problems.
- 7.GSR.5.6
Solve realistic problems involving surface area of right prisms and cylinders.
- 8.GSR.8
Solve contextual, geometric problems involving the Pythagorean Theorem and the volume of geometric figures to explain real phenomena.
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