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3 years ago

How much fabric is needed to make a tent in the shape of a triangular prism with the following measures?

Mathematics

2 answers:

makvit [3.9K]3 years ago

5 1

Answer:

The fabric needs 196.4 ft²

Step-by-step explanation:

∵ The tent formed formed from 4 faces

two equilateral triangles with side length 7 ft

two rectangles with dimensions 11 ft and 7 ft

∵ Area equilateral Δ = 1/4 S²√3

∵ Area rectangle = L × W

∴ The area of the prism = 2 × 1/4 × (7)²√3 + 2 × 7 × 11

= 196.4 ft²

Note:

If you find the area of the triangle by the rule 1/2 × base × height

∴ Area Δ = 1/2 × (7) × 6 = 21 ft²

∴ Area tent = 2 × 21 + 2 × 77 = 196 ft²

Two answer very closed

ycow [4]3 years ago

4 0

Answer:

273 ft^2 (apparently you have to cover the ground)

Step-by-step explanation:

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