Surface Area of Prisms

Vocabulary: The surface area of a three-dimensional figure is the sum of the areas of its surfaces.

Rectangular Prisms

Surface Area of Rectangular Prism

How many faces are there?
What shapes are the faces?
Are any of the faces the same?

How do we find the surface area?

Area = the sum of the sides

Triangular Prisms

Surface Area of Triangular Prism

How many faces are there?
What shapes are the faces?
How many of each shape are there?

How do we find the surface area?

Find the area of the faces and add them together!
Triangles: $(2)\frac{3\bullet4}{{2}}=12$
Rectangles: $(5\bullet11)+(4\bullet11)+(3\bullet11)= 132$
Total Surface Area (SA) = 144
Area = 2 x triangular faces + area of each rectangular face

Cylinders

Surface Area of Cylinder

How many faces are there?
What shapes are the faces?
Are any of the faces the same?

How do we find the surface area?

Area = Area of the side + Area of the base + Area of the top
A = $2\Pi rh+2\Pi r^{{2}}$

Assignment: Surface Area of Prisms and Cylinders