8.6.A
The Standard
describe the volume formula V = Bh of a cylinder in terms of its base area and its height
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students explain cylinder volume as the area of one circular base extended through the cylinder's height. They identify B and h in diagrams and use them to calculate volume.
What Mastery Looks Like
- Students identify B as the area of the circular base and h as the perpendicular height. They calculate the base area first, then multiply by height and report cubic units.
Common Misconceptions
- Students may use the circumference of the base instead of its area. They may confuse height with radius, forget to square the radius, or treat B as a separate measurement.
How to Assess It
- Give students a cylinder with radius 3 cm and height 5 cm. Ask them to label B and h, write the volume calculation, and explain what each factor represents.
Lesson moves
Ways to Teach It
Stack equal paper circles or foam disks, then connect the area of one layer and the number of layers to cylinder volume.
Ask students to explain in writing why doubling a cylinder's height doubles its volume while the base stays unchanged.
Play a matching game with cylinder diagrams, base area expressions, heights, and correct volume expressions.
Measure a cylindrical can, find its base area and height, then estimate how many cubic centimeters it can hold.
Keep exploring
Related Standards
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- 8.6.B
model the relationship between the volume of a cylinder and a cone having both congruent bases and heights and connect that relationship to the formulas
- 5.4.G
use concrete objects and pictorial models to develop the formulas for the volume of a rectangular prism, including the special form for a cube (V = l x w x h, V...
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