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Calculating Surface Area Using Nets

You will find guidance an examples on calculating surface area here. There are also examples and help on calculating the area of rectangles and triangles here if a recap is required.

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Calculate the surface area (in square units) of the shape represented by the nets shown below.

Rectangular Prism

2d net corresponding to a cube

Surface area = 80 square units

(4 x 4) x 2 = 32

(3 x 4) x 4 = 48

32 + 48 = 80

Rectangular Prism

2d net corresponding to a cube

Surface area = 62 square units

(5 x 3) x 2 = 30

(2 x 3) x 2 = 12

(5 x 2) x 2 = 20

30 + 12 + 20 = 62

Rectangular Prism

2d net corresponding to a cube

Surface area = 48 square units

(4 x 4) x 2 = 32

(1 x 4) x 4 = 16

32 + 16 = 48

Triangular Prism

2d net corresponding to a cube

Surface area = 51 square units

(2.5 x 5) x 2 = 25

(4 x 5) = 20

(4 x 1.5 ÷ 2) x 2 = 6

25 + 20 + 6 = 51

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Related Resources

The various resources listed below are aligned to the same standard, (6G04) taken from the CCSM (Common Core Standards For Mathematics) as the Geometry Worksheet shown above.

Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

Examples/ Guidance

Area and Volume

Worksheets

Shapes and Figures

Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

Solve real-world and mathematical problems involving area, surface area, and volume

 

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