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3D Figures
Terms and formulas for 3D figures, surface area, volume
24
Mathematics
9th Grade
05/05/2016
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Term
prism
 Definition
a three-dimensional figure in which 2 faces are congruent polygons in parallel planes
Term
base
 Definition
2 faces that are congruent polygons in parallel planes
Term
lateral face
 Definition
faces of the prism that connect the bases
Term
height or altitude
 Definition
distance between the two bases of a prism
Term
non-prism
 Definition
a three-dimensional figure which does not fulfill the requirements of a prism - these figures may have two bases, one base, or no base at all
Term
cross-section
 Definition
when we take a "slice" through it and the result is a two-dimensional figure
Term
solid of revolution
 Definition
if we rotate a two-dimensional figure about one of its sides, the result is a three-dimensional figure
Term
surface area
 Definition
the sum of all of the areas of all of the two-dimensional faces
Term
surface area (triangle)
 Definition
A=(1/2)bh
Term
surface area (parallelogram)
 Definition
A=bh
Term
surface area (square)
 Definition
A=s^2
Term
surface area (trapezoid)
 Definition
A=(1/2)(base+base)h
Term
volume
 Definition
the number of cubic units that fit inside the figure
Term
volume (prism)
 Definition
V=Bh
Term
B
 Definition
the area of one of the bases
Term
volume (rectangular prism)
 Definition
V=lwh
Term
volume (cube)
 Definition
V=edge^3
Term
volume (cylinder)
 Definition
V=π(r^2)h
Term
volume (sphere)
 Definition
V=(4/3)π(r^3)
Term
volume (cone)
 Definition
V=(1/3)π(r^2)h
Term
volume (pyramid)
 Definition
V=(1/3)Bh
Term
density
 Definition
D=m/v
Term
circumference
 Definition
C=πd
Term
Area (circle)
 Definition
A=π(r^2)
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