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MATHEMATICS OBJECTIVE
Students will be able to:
Find the surface area of 2-dimensional composite shapes.
Find the surface area of 3-dimensional composite shapes.
ESSENTIAL UNDERSTANDING
The surface area of a composite figure is the sum of the areas of the shapes that make up the composite figure. The surface area of a three-dimensional figure is the combined surface areas of all faces of the figure.
I can find the surface area of two-dimensional composite shapes.
I can find the surface area of three-dimensional composite shapes.
AREA AND SURFACE AREA OF COMPOSITE FIGURES
The area of a two-dimensional composite figure is the sum of the areas of
all the shapes that compose it. The surface area of a three-dimensional
composite figure is the sum of the areas of all its faces.
TWO-DIMENSIONAL COMPOSITE FIGURE
The diagram shows a rectangle labeled A joined to a region formed by two
triangles, labeled B and C.
A + B + C = total area.
THREE-DIMENSIONAL COMPOSITE FIGURE
A rectangular prism labeled A is joined to a triangular prism labeled B.
Add the areas of each face of the rectangular prism, but not the face
that is shared with Figure B.
Add the areas of each face of the triangular prism, but not the face
that is shared with Figure A.
Surface area of shape A + Surface area of shape B
= Surface area of composite shape
(Here the surface areas of shapes A and B exclude their shared faces.)
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