Question

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

Answer 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

Answer 2

Answer:

273 ft

Step-by-step explanation: