Georgia 5.GSR.8.4
The Standard
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, mathematical problems.
Georgia's K-12 Mathematics Standards · Examine properties of polygons and rectangular prisms, classify polygons by their properties, and discover volume of right rectangular prisms.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students find the area of a rectangular base, then multiply by the prism’s perpendicular height. They use this calculation in word problems and explain how stacked layers of unit cubes show the volume.
What Mastery Looks Like
- Students correctly find the base area, multiply by the perpendicular height, and label the answer in cubic units. They explain that the height tells how many layers of unit cubes fill the prism.
Common Misconceptions
- Students may add the three dimensions, multiply only two dimensions, or calculate surface area instead. They may label volume with square units instead of cubic units. Some use a side length as the height even when it is not perpendicular to the chosen base.
How to Assess It
- Give this exit ticket: “A storage box has an 8-inch by 5-inch base and is 4 inches tall. Find its volume and explain your steps.”
Lesson moves
Ways to Teach It
Build rectangular prisms with unit cubes, record each base area and number of layers, then calculate and check the volume.
Ask students to write why a prism with a base area of 24 square units and height 5 units has volume 120 cubic units.
Play a matching game with cards showing prism dimensions, base areas, heights, and volumes.
Measure a cereal box, calculate its volume, and compare the result with the volume printed or estimated from its package size.
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Printable 5.GSR.8.4 Worksheet
A ready-to-print activity worksheet aligned to 5.GSR.8.4, 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.
- 6.GSR.5.3
Calculate the volume of right rectangular prisms with fractional edge lengths by applying the formula, V = (area of base) x (height).
- 3.GSR.7.3
Discover and explain how area can be found by multiplying the dimensions of a rectangle.
- 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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