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Flat Surface Three-Dimensional Figure, image, image, image, image, image,…
Flat Surface Three-Dimensional Figure
Cube
Elements
Edges: 12, All of them are the same length
Vertices: 8, All vertices are 90°
Face Diagonals: 12, All face diagonals have the same length
Space Diagonals: 4, All space diagonals have the same length
Faces: 6, All faces have the same area
Diagonal Plane: 6, All diagonal planes have the same area
Equations
Volume= s³
Surface Area= s² , so,
Total Surface Area = 6s²
S = Side
Prism
Elements
Faces: N + 2
Vertices: 2N
Edges: 3n
N= the number of sides the base of the prism has
Equations
Volume = B x H
Total Surface Area: 2B + P x H
B = Base Areaㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ H = Height of PrismㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤP = Perimeter of Base
Pyramid
Elements
Faces: N
Vertices: N+1
Edges: 2N
N = The number of sides the base of the pyramid has
Equations
B = Base Area
H= Height
b = Area of Triangular Side
P = Perimeter
Volume = (B x H)/3
Total Surface Area = 1/2 P + B
Cuboid
Elements
Faces: 6
Vertices: 8
Edges: 12
Face Diagonals: 12
Space Diagonals: 4
Diagonal Plane: 6
Equations
Volume = L x W x H
Total Surface Area: 2(WL+HL+HW)
L = Length W= Width H= Height
