12-1: Prisms
Given a cube with sidelength s… In your own words, what is meant by surface area? Come up with a formula. What is meant by volume? Come up with a formula.
In general, Volume is: Surface area is:
A prism has two congruent polygonal bases (triangle, rectangle, pentagon, etc) and several lateral faces. A prism’s name comes from its bases.
Surface Area: Volume:
A right hexagonal prism has sidelength 6 cm and height 4 cm. Find its total surface area and volume.
A right equilateral triangular prism has height 5 and lateral area 60. Find it’s total surface area and volume.
A driveway 30 m long and 5 m wide is to be paved with blacktop 3 cm thick. How much will the blacktop cost at $175/cubic meter?
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