Flat Surface Three-Dimensional Figure

cube

pyramid

cuboid

prism

Elements

Elements

Elements

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

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

triangle prism

6 vertices

quadrilateral prism

pentagonal prism

8 vertices

10 vertices

9 edges

12 edges

15 edges

5 faces

6 faces

7 faces

surface area A = 2.bace area + area 3 lateral faces

surface area A = 2.bace area + area 4 lateral faces

surface area A = 2.bace area + area 5 lateral faces

volume V = (area of triangle)(height of prism)

volume V = (area of quadrilateral)(height of prism)

volume V = (area of pentagonal)(height of prism)

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