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Definition
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Definition
| congruent polygons lying in parallel planes |
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Definition
a segment joining the two bases and is perpendicular to both.
*lenghth of an altitude is the height (h) of the prism |
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Definition
the faces of a prism that are not it's bases. All are parallelograms
(the sides) |
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Definition
| a prism in which the lateral faces are rectangles |
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Definition
| a prism in which the lateral faces are not rectangles |
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Definition
the sum of the area of the prism's lateral faces
The lateral area of a prism equals the perimeter of a base times the height of the prism
(L.A.=ph)
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Definition
the sum of all the face areas of the prism
(T.A.= LA+2B) |
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Definition
the volume of a prism equals the area of a base times the height of the prism
(V=Bh) |
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| a polyhedron in which one face (the base) can be any polygon and the other faces (the lateral faces) are triangles that meet at the vertext of the pyramid |
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Definition
the perpendicular segment from the vertex to the plane of the base
*the length of the altitude is the height (h) of a pyramid |
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Definition
| a pyramid whose base is a regualr polygon (congruent angles and sides) and whose lateral faces are congruent isosceles triangles |
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Definition
| the length of the altitude of the lateral faces of the pyramid |
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| Area of ONE Lateral Face of a Pyramid |
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Definition
1/2bl
(half of base times length) |
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Definition
1/2ap
(half of the apothem times perimeter) |
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| Lateral Area of a Regular Pyramid |
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Definition
the lateral area of a regualr pyramid is half the product of the perimeter of the base and the slant height (l)
(L.A.=1/2pl)
or (1/2bl)n or (1/2nb)l
*nb=p
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| Surface Area of a Pyramid |
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Definition
the sum of the lateral area and the area of the base
(S.A.=LA+B) |
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Definition
V=1/3 Bh
(1/3 of area of base times height) |
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Definition
the circumference of a base times the height of the cylinder
(L.A.=2πrh)
(circumference x height) |
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| Surface Area of a Cylinder |
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Definition
SA=LA+2B
(lateral area+ base x 2) |
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Definition
V=Bh
-or-
V=πr2h
(area of base x height) |
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Definition
that lateral area is half the product of the circumfrence of the base and the slant height (l)
LA=1/2 (2πrl)
*LA=πrl |
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Definition
the sum of the lateral area plus the area of the base(πr2)
SA=LA+B
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Term
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Definition
V=1/3 (Bh)
-or-
V=1/3 (πr2h) |
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