Prisms

A prism is a solid shape with two identical parallel faces called bases.

The prism is named by the shape of its bases.

Rectangular Prism.  A prism with rectangular bases.

Rprism

 

 

 

Opposite faces are parallel.

6 Faces (each face is a rectangle)

12 Edges

8 Vertices

The surface area of a rectangular prism is the area of the six rectangles that cover it.

Surface Area = 2wl + 2 hl + 2hw

Volume = l w h    (volume=length*width*height)

Rectangular Prism Net

 

 

 

SA03 Surface Area of a Rectangular Prism

VO05 Volume of a Rectangular Prism 1

VO06 Volume of a Rectangular Prism 2

VO08 Volume of a Rectangular Prism 3

VO09 Volume of a Rectangular Prism 4

VO31 Volume of a Rectangular Prism 5

VO32 Volume of a Rectangular Prism D1

VO33 Volume of a Rectangular Prism D2

VO34 Volume of a Rectangular Prism D3

VO35 Volume of a Rectangular Prism D4

VO36 Volume of a Rectangular Prism D5

VO37 Volume of a Rectangular Prism D6

SA13 Volume of a Rectangular Prism D7

VO07 Volume and Surface Area of a Rectangular Prism 1

VO07 Rectangular Prism Problems

 

MKY3

Triangular Prism.  A prism with triangular bases.

Only the bases are parallel.

Tprism

 

 

 

 

5  Faces

9  Edges

6  vertices

Surface area of a triangular prism = area of the three rectangles + area of two triangles

A formula that works for all prisms is:

Lateral area = perimeter of the base times the height of the prism

Triangular Prism Net

 

 

 

 

 

 

 

 

 

 

 

 

 

SA05 Surface Area of a Right Triangular Prism

SA06 Surface Area of a Triangular Prism 1

SA07 Surface Area of a Triangular Prism 2

VO14 Volume of a Triangular Prism 1

VO15 Volume of a Triangular Prism 2

VO16 Volume of a Triangular Prism 3

VO17 Volume of a Triangular Prism 4

VO18 Volume of a Triangular Prism 5

 

 

VO19 Volume of a Trapezoidal Prism