Grade 7 · Measurement
Volume of Prisms and Cylinders
One formula rules all prisms and cylinders: Volume = base area × height. For a cylinder, the base is a circle, so V = πr²h. Students who understand why this works — it's the same logic as layering — can derive the formula from first principles rather than memorizing it.
LESSON VIDEO
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Lesson video
A short walkthrough to play in class or assign for flipped/at-home viewing.
WHAT STUDENTS WILL LEARN
✓Calculate the volume of prisms using V = base area × height
✓Calculate the volume of cylinders using V = π × r² × h
✓Solve problems involving volume in real-world contexts
✓Compare volumes of different shapes and containers