http://www.ck12.org Chapter 11. Surface Area and Volume
Example C
Find the volume of the pyramid.
V=^13 ( 122 ) 12 = 576 units^3
Watch this video for help with the Examples above.
MEDIA
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CK-12 Foundation: Chapter11PyramidsB
Concept Problem Revisited
The original volume of the pyramid is^13 ( 7062 )( 407. 5 )≈ 67 , 704 , 223. 33 f t^3.
Vocabulary
Apyramidis a solid with onebaseandlateral facesthat meet at a commonvertex.The edges between the lateral
faces arelateral edges.The edges between the base and the lateral faces arebase edges.
Aregular pyramidis a pyramid where the base is a regular polygon. All regular pyramids also have aslant height,
which is the height of a lateral face.
Surface areais a two-dimensional measurement that is the total area of all surfaces that bound a solid.Volumeis a
three-dimensional measurement that is a measure of how much three-dimensional space a solid occupies.
Guided Practice
- Find the area of the regular triangular pyramid.
- If the lateral surface area of a square pyramid is 72f t^2 and the base edge is equal to the slant height, what is the
length of the base edge? - Find the area of the regular hexagonal pyramid below.
- Find the volume of the pyramid.
- Find the volume of the pyramid.
- A rectangular pyramid has a base area of 56cm^2 and a volume of 224cm^3. What is the height of the pyramid?
Answers: - The area of the base isA=^14 s^2
√
3 because it is an equilateral triangle.