ADDITION TO DIAGRAM NEW VOCAB The slant height of a regular pyramid is the distance from the vertex to the midpoint of an edge of the base The lateral faces of a regular pyramid can be arranged to cover half of a rectangle with a height equal to the slant height of the pyramid The widt ID: 755473
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Slide1
Surface Area of PyramidsSlide2
ADDITION TO DIAGRAM – NEW VOCAB
The slant height of a regular pyramid is the distance from the vertex to the midpoint of an edge of the base. Slide3
The lateral faces of a regular pyramid can be arranged to cover half of a rectangle with a height equal to the slant height of the pyramid. The width of the rectangle is equal to the base perimeter of the pyramid.Slide4Slide5
Example 1
Find the surface area of the regular pyramid. n
represents the number of sides of the base, and
s
represents the length of one side of the base, and
l
is the slant height.
n
= 3,
s
= 14,
l
= 14Slide6
Example 2
Find the surface area of the regular pyramid. n
represents the number of sides of the base, and
s
represents the length of one side of the base, and
l
is the slant height.
n
= 6,
s
= 5.2,
l
= 13Slide7
Example 3
Find the surface area of the regular pyramid. n
represents the number of sides of the base, and
s
represents the length of one side of the base, and
l
is the slant height.
n
= 4,
s
= 12,
l
= 13Slide8
Example 4
Work backwards to solve for the missing information.
In a rectangular pyramid, one side of the base is 30 in. The slant height of the pyramid is 29 in, and the SA = 4180 square inches. What is the length of the other side of the rectangular base?Slide9
Example 5
Work backwards to solve for the missing information.
In a triangular pyramid, the base area is 50 square mm. The slant height of the pyramid is 40 mm, and the SA = 250 square mm. What is the perimeter of the triangular base?Slide10
Example 6
Work backwards to solve for the missing information.
In a square pyramid, the slant height is 5 cm, and the SA = 96 square cm. What is the length of one side of the base?