Volume Using Base Area
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Objective
I can calculate the volume of prisms and cylinders using the area of the base.
Part 1 of 4
Warm-up video
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We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 concepts
- 1
The volume of a cylinder is calculated by multiplying the area of its circular base by its height.
- 2
The total surface area of a cylinder includes the area of its top circle, its bottom circle, and the lateral surface that wraps around it.
- 3
When the lateral surface of a cylinder is unwrapped, it forms a rectangle whose length is the cylinder's circumference and whose width is its height.
Part 3 of 4
Practice
3 questions
A cylindrical storage container has a radius of 5 feet and a height of 15 feet. Calculate the volume of the container. Express your answer in terms of pi.
A rectangular prism has a base with a length of 9 cm and a width of 6 cm. If the height of the prism is 10 cm, what is its volume?
Part 4 of 4
Exit ticket
Quick comprehension check
“A cylinder has a circular base with a radius of 5 centimeters and a height of 12 centimeters. Calculate the volume of the cylinder. Show all steps, including how you found the area of the base. Express your answer in terms of π.”
Sample answer included in the free materials
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Teacher Guide
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