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Flat surface three dimensional figure - Coggle Diagram
Flat surface three dimensional figure
Cube
A cube has 6 sides
A cube has 12 edges
A cube has 8 vertices
A cube has 12 faces diagonals
A cube has 8 space diagonals
for a cube, the formulas for volume and surface area are V=s3 and SA=6s2
Cuboid
A cuboid has 6 sides
A cuboid has 12 edges
A cuboid has 8 vertices
A cuboid has 12 face diagonals
A cuboid has 8 space diagonals
As for the cuboid, the formula of the surface area and the volume is SA = 2(length x width + width x height + length x height) and V = Length x width x height
Prism
Side = n-sided prism
Face(n+2)
Edges(3n)
Vertices(2n)
As for the prism, the area formula is = (2 x Base area) + (Perimeter of base x height of prism) and the volume is Base area x height of prism
Based on the shape of the bases, it is further categorised into different types, namely;
Triangular prism (has triangular bases)
Square prism (has square bases)
Rectangular prism (has rectangular bases)
Pentagonal prism (has pentagonal bases)
Hexagonal prism (has hexagonal bases)
Pyramid
n-sided pyramid
Face(n+1)
Edges(2n)
Vertices(n+1)
As for the pyramid, the area of pyramid is Base area + Lateral surface area and the volume of the pyramid is 1/3 x Base area x height of pyramid
Length : 20.5 cm
height : 8.3 cm
Width : 9.8 cm
Surface area = 2 x (20.5cm x 9.8cm) + 2 x ( 20.5cm x 8.3cm) + 2 x (9.8 x 8.3cm) = 904.78 cm^2
Volume = 20.5 cm x 9.8 cm x 8.3 cm = 1667.47 cm^3
