Math
Volume of prisms and cylinders.
Definition
The volume of a prism or cylinder is found by multiplying the area of the base by the height of the solid. Prisms have polygonal bases while cylinders have circular bases, but both use the same fundamental approach.
Examples
Real-world.
- 1 A rectangular prism with base 4 × 5 and height 6 has volume = 4 × 5 × 6 = 120 cubic units
- 2 A cylinder with radius 3 and height 10 has volume = π(3²)(10) = 90π cubic units
- 3 A triangular prism with base area 12 cm² and height 8 cm has volume = 96 cm³
Key Fact
V = Bh (prisms); V = πr²h (cylinders), where B is the area of the base