Calculating Surface Area Using a Net

Select the expressions that correctly calculates the surface area of the triangular prism represented by the net.

• (12•10)+ (12•13)+ (10•6)

• (2•13)+ (2•13)+ 2(6+13)+ 60

• 0.5(10•12)+ 0.5(10•12)+ 2(6•13)+ 60

• 2(13+13+12+6+10)+ 60

• 0.5(13•12)+ 0.5(13•12)+ 2(6•10•13)

Chris is finding the surface area of a prism using a net. First, he finds the area of the two triangles by calculating 0.5•16•15•2. Next, he finds the area of the three rectangles by calculating 17•8•3. Last, he adds the areas of the triangles and rectangles to get a total surface area of 648 square meters. Which answer identifies Chris' mistake?

• Chris should not have multiplied by 0.5 to find the area of the 2 triangles.

• Chris should not have multiplied by 3 to find the area of the 3 rectangles.

How much gift wrap is needed to cover this box? ___________ square inches of paper

Which expressions correctly calculate the surface area of a square pyramid with a base length of 6 inches and the height of each triangular face is 11 inches.

• (6•6)+ (4)(6•11)

• (6•6)+ 0.5(6•11)+ 0.5(6•11)+ 0.5(6•11)+ 0.5(6•11)

• (6•11)+ 4(0.5)(6•6)

• (6•6)+ 0.5(6•11)+ 0.5(6•6)+ 0.5(6•11)+ 0.5(6•6)

• (6•6)+ (4•33)

• 37.5

• 45.5

• 33.2

• 52.5

A square pyramid is covered with decorative wrapping paper with no overlap.  The net of the box is shown on the right.  How many square centimeters of wrapping paper are needed to cover the surfaces of the box? 

• 108 cm²

• 324 cm²

• 180 cm²

• 432 cm²

Find the total surface area of the shape below.

• 258 m²

• 268 m²

• 248 m²

• 280 m²

• 28

• 84

• 426

• 630

Determine the surface area of the figure.

• 96 cm²

• 84 cm²

• 144 cm²

A tent company makes one type of tent that is shaped like a triangular prism. Based on these dimensions, how much fabric is needed to make one tent, including a floor?

_______ square feet