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Flat Surface Three-Dimensional Figure - Coggle Diagram
Flat Surface Three-Dimensional Figure
cube
Elements
12 edges equal in length
8 vertices
6 faces/sides are identical squares
Surface area S = 6·a^2
Volume V = a^3
12 face diagonals
face diagonal s√2
4 space diagonals
space diagonal s√3
pyramid
Elements
has apex and base
(square based pyramid)
5 faces.
5 vertices.
8 edges.
square base.
4 side faces that are triangles.
surface area SA = 1/2 . perimeter of base . slant height . area of base
Volume V = 1/2 . base area . height
cuboid
Elements
12 face diagonals
face diagonal √length^2 + width^2 / √height^2 + width^2 / √length^2 + height^2
8 vertices
4 space diagonals
12 edges
√length^2 + width^2 + height^2
6 faces/sides
surface area SA=2lw+2lh+2hw
volume V = base area . height / l . w . h
prism
Elements
triangle prism
6 vertices
9 edges
5 faces
surface area A = 2.bace area + area 3 lateral faces
volume V = (area of triangle)(height of prism)
quadrilateral prism
8 vertices
12 edges
6 faces
surface area A = 2.bace area + area 4 lateral faces
volume V = (area of quadrilateral)(height of prism)
pentagonal prism
10 vertices
15 edges
7 faces
surface area A = 2.bace area + area 5 lateral faces
volume V = (area of pentagonal)(height of prism)