http://www.ck12.org Chapter 11. Surface Area and Volume
Concept Problem Revisited
Even though it doesn’t look like it, the trapezoid is considered the base of this prism. The area of the trapezoids are
1
2 (^4 +^8 )^25 =^150 f t
(^2). Multiply this by the height, 10 ft, and we have that the volume is 1500f t (^3). To determine the
number of gallons that are needed, divide 1500 by 7.48.^15007. 48 ≈ 200 .53 gallons are needed to fill the pool.
Vocabulary
Aprismis a 3-dimensional figure with 2 congruent bases, in parallel planes, and in which the other faces are
rectangles.
The non-base faces arelateral faces.The edges between the lateral faces arelateral edges.Aright prismis a prism
where all the lateral faces are perpendicular to the bases. Anoblique prismis a prism that leans to one side and
whose height is perpendicular to the base’s plane.
Surface areais a two-dimensional measurement that is the sum of the area of the faces of a solid. Volumeis a
three-dimensional measurement that is a measure of how much three-dimensional space a solid occupies.
Guided Practice
- Find the surface area of the regular pentagonal prism.
- Find the volume of the right rectangular prism below.