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Grade 8 · Measurement

Surface Area and Volume of Prisms and Cylinders

Surface area and volume are two different measurements of the same object. Students extend earlier prism work to cylinders, where πr² appears in both the base area and surface area formulas. Real problems — how much cardboard for a can? how much water does it hold? — make the distinction meaningful and memorable.

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 surface area of rectangular and triangular prisms and cylinders
✓Calculate the volume of prisms and cylinders
✓Solve problems involving packaging, capacity, and material costs
✓Distinguish and relate surface area and volume in real contexts