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

How much fabric is needed to make a tent in the shape of a triangular prism with the-example-1
User Csander
by
2.5k points

2 Answers

11 votes
11 votes

Answer:

The fabric needs 196.4 ft²

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

User Sanjay Verma
by
2.9k points
20 votes
20 votes

Answer:

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

Explanation:

User Ronny Perez
by
3.2k points