Surface Area and Volume of 3D Shapes
TRIANGULAR PRISM
FACES: 5
VERTICES: 6
EDGES: 9
SURFACE AREA FORMULA: 2B + PH
** B is the area of the base
** P is the permienter of the base
** H is the height of the prism
SA = 2(1/2bh)+(add 3 sides)(height)
RECTANGULAR PRISM
FACES: 6
VERTICES: 8
EDGES: 12
SURFACE AREA FORMULA: 2B + PH
** B is the area of the base
** P is the permienter of the base
** H is the height of the prism
SA = 2(LW)+(add 4 sides)(height)
CYLINDER
FACES: 2
VERTICES: 0
EDGES: 0
SURFACE AREA FORMULA: 2B + cH
** B is the area of the base
** C is the circumference of the base
** H is the height of the prism
SA = 2(3.14rr)+(3.14d)(height)
TRIANGULAR PYRAMID
FACES: 4
VERTICES: 4
EDGES: 6
SURFACE AREA FORMULA: B + 1/2PH
** B is the area of the base
** P is the perimeter of the base
** H is the SLANT height of the prism
SA = (1/2bh)+(add 3 sides)(slant height)
RECTANGULAR PYRAMID
FACES: 5
VERTICES: 5
EDGES: 8
SURFACE AREA FORMULA: B + 1/2PH
** B is the area of the base
** P is the perimeter of the base
** H is the SLANT height of the pyramid
SA = (LW)+1/2(add 4 sides)(slant height)
CONE
FACES: 1
VERTICES: 1
EDGES: 0
SURFACE AREA FORMULA: B + CH
** B is the area of the base
** C is the circumference of the base
** H is the SLANT height of the cone
SA = (3.14rr)+1/2(3.14d)(slant height)
SPHERE
FACES: 0
VERTICES: 0
EDGES:0
SURFACE AREA FORMULA: 4Piersquared
SA = 4(3.14rr)
Surface Area
Below, each 3 Dimensional Shape listed, is defined by its number of edges, verticies, faces, and Surface Area Formula. You can use this information to determine the Surface Area of each shape. Remember, when finding Surface Area, you are finding the total area of all the 2 Dimensional shapes that are put together to form the three dimensional shapes.