Calculating Surface Area of Composite Figures

This video tutorial covers solving surface area problems for 2D composite figures and 3D shapes. It begins with a vocabulary review, explaining concepts like area, composite figures, and surface area. The tutorial includes examples of calculating the area of a composite shape and finding the surface area of rectangular and triangular prisms. The process involves breaking down shapes into simpler components and using basic area formulas.

What defines the area of a shape?

• The space it covers on a flat surface

• The length of its sides

• The volume it occupies

• The perimeter of the shape

What is a composite figure?

• A shape formed by combining two or more simple shapes

• A complex geometric equation

• A 3D figure made from various materials

• A shape made from cutting a larger shape into smaller ones

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CCSS.1.G.A.2

How do you find the area of a rectangle?

• Base + Height

• 1/2 Base x Height

• Length x Width

• Length + Width

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the formula to find the area of a triangle?

• Length x Width

• Base + Height

• 1/2 Base x Height

• Base x Height

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CCSS.6.G.A.1

How do you calculate the area of a composite shape?

• By adding the areas of the individual shapes

• By subtracting the smaller shape from the larger one

• By dividing the total perimeter by the number of shapes

• By multiplying the areas of the individual shapes

What is surface area?

• The volume of a 3D object

• The length of all the edges of a 3D object

• The perimeter of a 3D object

• The sum of the areas of all faces of a 3D object

How many faces does a rectangular prism have?

• 8

• 4

• 5

• 6

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What is the total surface area of a rectangular prism with a base area of 12 units squared and a side area of 28 units squared?

• 140 units squared

• 120 units squared

• 80 units squared

• 112 units squared

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CCSS.7.G.B.6

How do you find the surface area of a triangular prism?

• By dividing the volume by the height

• By calculating the area of the triangular faces and rectangular faces and adding them

• By multiplying the base area by the height

• By adding the areas of the base shapes

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CCSS.7.G.B.6

What is the surface area of a triangular prism with triangular faces of 15 units squared each and rectangular faces totaling 120 units squared?

• 135 units squared

• 150 units squared

• 165 units squared

• 180 units squared

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CCSS.7.G.B.6