Rectangular Prism Cylinder SPI 6.4.5 I CAN determine the surface area of a 3-D figure.

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Presentation transcript:

Rectangular Prism Cylinder SPI I CAN determine the surface area of a 3-D figure.

The surface area of a three- dimensional figure is the sum of the areas of its surfaces. A net is the pattern made when the surface of a three- dimensional figure is layed out flat showing each face of the figure.

top back end front end bottom = Imagine cutting a cardboard box along its edges and laying it out flat. The resulting figure is called a net.

Notice that all sides lay out to be triangles. =

Surface Area of Square Pyramid Pyramids that have a square base have a total of five surfaces.

Square Pyramid S = area of square + 4  (area of triangular face) ‏ The surface area is 161 ft 2.

Square Pyramid 5.6 ft 4.8 ft

Triangular Prism 6 in 3 in

Surface Area of a Cylinder A cylinder has a total of three surfaces: a top, bottom, and middle. The top and bottom, which are circles, are easy to visualize. The area of a circle is πr 2

Surface Area of a Cylinder S = area of curved surface + 2  (area of each base) ‏ S = h  (2r) + 2  (r 2 ) ft

Cylinder 24 in 12 in 4 in

A container is shaped like a square pyramid below. What is the total surface are of the package?

What is the surface area of this prism?

What is the surface are of the prism?