Solid Mind Map
Pyramid
Types
Prism
Types
Square-Based Pyramid
Triangular-Based Pyramid
Pentagonal-Based Pyramid
Hexagonal-Based Pyramid
Octagonal-Based Pyramid
Cube
Cuboid
Triangular Prism
Pentagonal Prism
Hexagon Prism
Octagonal Prism
Properties
Properties
Cube
Square-Based Pyramid
- 4 side faces are triangles.
- The base is a square.
- It has 5 faces.
- It has 5 corner points.
- It has 8 edges.
Triangular-Based Pyramid
- It has 4 faces.
All faces are an triangle
- It has 4 corner points.
- It has 6 edges.
Pentagonal-Based Pyramid
- It has 6 faces.
- 4 side faces are triangle.
-It has 6 corner points.
-The base is a pentagon.
-It has 10 edges.
Hexagonal-Based Pyramid
- It has 7 faces
- 5 side faces are triangle.
- The base is hexagon.
- It has 7 corner points.
- It has 12 edges.
Octagonal-Based Pyramid
- It has 8 faces.
- 7 sides faces are triangle.
- It has 9 corner points.
-It has 16 edges.
- The base is an octagon.
- It has 6 equal faces.
- Every sides faces are a square.
- It has 8 corner points.
- It has 12 edges.
- It has 3 dimensions which is Width, Length, and Height.
Cuboid
- It has 8 corner points.
- It has 12 edges.
-Every faces of cuboid is a rectangle
- It has 3 dimensions which is Width, Length, and Height.
- It has 6 faces.
Triangular Prism
- It has 6 corner points.
- 2 of the faces are an triangle which are the base.
- It has 9 edges.
- 3 of the faces are a rectangle which are the sides.
- It has 5 faces.
- It has 3 dimensions which is Width, Length, and Height.
Pentagonal Prism
- it has 10 corner points.
- 2 of the faces are a pentagon which are the base.
- It has 15 edges.
- 5 of the faces are a rectangle which are the sides.
- It has 7 faces.
- It has 3 dimensions which is Width, Length, and Height.
Hexagonal Prism
- 6 of the faces are a rectangle which are the sides.
It has 3 dimensions which is Width, Length, and Height.
- 2 of the faces are a hexagon which are the base.
- It has 12 corner points.
- It has 18 edges.
-It has 8 faces.
Octagonal Prism
- It has 16 corner point.
- 2 of faces are an octagon which are the base
- It has 24 edges.
- 8 of the faces are a rectangle which are the sides.
- It has 10 faces.
- It has 3 dimensions which is Width, Length, and Height.
Net
Cube
Cuboid
Triangular Prism
Pentagonal Prism
Hexagonal Prism
Octagonal Prism
Formula
Formula
Triangular-Based Pyramid
Cube
Surface Area
Voulme
Cuboid
Surface Area
Volume
Triangular Prism
Surface
Volume
Pentagonal Prism
Hexagonal Prism
Surface Area
Volume
Surface Area
Volume
Octagonal Prism
Surface Area
Volume
Surface Area
Volume
Square-Based Pyramid
Surface Area
Volume
Pentagonal-Based Pyramid
Surface Area
Volume
Hexagonal-Based Pyramid
Surface Area
Volume
Octagonal-Based Pyramid
Surface Area
Volume
Net
Octagonal-Based Pyramid
Hexagonal-Based Pyramid
Pentagonal-Based Pyramid
Triangular-Based Pyramid
Square-Based Pyramid
V =((3√3 S^2)/ 2)) x H
TSA= 2(1/2 x Base Perimeter x Apothem) + Base Perimeter(Length)
V= 1//2 Base x Height x Length
TSA= 2(1/2 x Base X Height) + Base Perimeter(Length)
V= S x S x S = S^3
TSA= 6(S x S)
V= Length x Width x Height
TSA=2(lw)+2(lh)+2(hw)
V= (1/2 x Perimeter x Apothem) x height
TSA= 2(1/2 BH) + Base Perimeter(Length)
V= (1/2 Base Perimeter x Apothem) x Height
TSA= 2(1/2 x Base Perimeter x Apothem) + Base Perimeter(Length)
TSA= ((3√3 S^2)/ 2)) + (1/2 x Base Perimeter x Slant Height)
V =1/3 x ((3√3 S^2)/ 2)) x Height
V= 1/3 x (1/2 x Perimeter x Apothem) x Height
TSA= (1/2 x Perimeter x Apothem) + (1/2 x Base Perimeter x Slant Height)
V= 1/3 x (B x T1 / 2) x T2
TSA= (1/2 x B x T) + (1/2 x Base Perimeter x Slant Height)
V= 1/3 x (Base Side x Base Side) x Height
TSA= (Base Side x Base Side) + (1/2 x Base Perimeter x Slant Height)
TSA= (1/2 x Base Perimeter x Apothem) + (1/2 x Base Perimeter x Slant Height)
V= 1/3 x (1/2 Base Perimeter x Apothem) x Height
Rectangular-Based Pyramid
Rectangular-Based Pyramid
Rectangular-Based Pyramid
Rectangular-Based Pyramid
Surface Area
Volume
V=1/3 x ( Base Length x Base Width) x Height
TSA= ( Base Length x Base Width) + (1/2 x Base Perimeter x Slant Height)
- It has 5 Faces.
- It has 5 corner points.
- It has 8 edges.
- The base is a rectangle.
- 4 side faces is a triangle.
Examples
Children Toy Box (Triangular-Based Pyramid)
Examples
The Giza Pyramid (Square-Based Pyramid)
House Rooftop (Rectangular-Based Pyramid)
A Pentagonal Pyramid Rubix Cube
A Hexagonal Rooftop
An Octagonal Rooftop
A Rubix Cube
Bricks (Cuboid)
Toblerone Chocolate Bar (Triangular Prism
A Costum Pentagonal Prism Rubix Cube
A Screw Nut (Hexagonal Prism)
A Biscuit Tin Box (Octagonal Prism)