Real-World Applications - Tents and Roofs (Triangular Nets)
Solve practical real-world problems involving tents and roofs using triangular nets. Calculate total surface areas required for different triangular structures.
Questions
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MultiChoice
A camping tent net is shaped like a triangular prism. The two triangular ends have base 6 ft and height 4 ft. The three rectangular sides are 6x8 ft, 5x8 ft, and 5x8 ft. What is the surface area of fabric needed?
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MultiChoice
A roof structure net is a triangular prism. The triangular ends each have area 15 sq m. The three rectangular roof panels have areas of 40 sq m, 40 sq m, and 30 sq m. What is the total surface area?
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MultiChoice
A glass pyramid roof net has a square base of 12 m by 12 m and 4 triangular glass panels with height 10 m. How much glass is needed for the 4 triangular sides only?
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MultiChoice
A triangular wooden wedge net has two right triangular bases (legs 3 cm, 4 cm) and three rectangular faces (3x10 cm, 4x10 cm, 5x10 cm). What is the total surface area?
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MultiChoice
A model tent net has 4 triangular faces (triangular pyramid). Each triangle has base 10 cm and height 12 cm. What is the surface area of fabric required?
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MultiChoice
An open-bottom triangular tent net consists of only 2 triangular sides (area 12 sq ft each) and 2 rectangular sides (area 30 sq ft each). What is the surface area of fabric?
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MultiChoice
A chocolate wrapper net is a triangular prism with triangle bases of area 6 sq cm each and 3 rectangular faces of area 40 sq cm each. What is the total surface area of the wrapper?
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MultiChoice
A square pyramid tent net (without floor) has 4 triangular sides, each with base 8 ft and slant height 9 ft. How much canvas is needed for the sides?
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MultiChoice
A triangular prism greenhouse net has two triangular ends (base 4 m, height 3 m) and three glass rectangle sides (4x8 m, 5x8 m, 5x8 m). What is the surface area of glass?
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MultiChoice
A party hat net is formatted as a triangular pyramid with 4 identical faces of area 25 sq in each. What is its total surface area?
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MultiChoice
A triangular prism net has a total area of 200 sq ft. If the lateral area is 160 sq ft, what is the combined area of the two triangular bases?
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MultiChoice
A pyramid monument net has a square base of side 20 m and slant height 15 m. What is the total surface area?