EGG134
Answered

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Sagot :

Of two traingles

  • 2×1/2BH
  • BH
  • 3(2)
  • 6ft²

Of 3 rectangles

  • 3LB
  • 3(10)(3)
  • 9(10)
  • 90ft²

TSA

  • 90+6=96ft²
semsee45

Answer:

96 ft²

Step-by-step explanation:

As the base of the prism (the triangle) is an equilateral triangle (the sides are the same length), the surface area of the prism comprises:

  • 3 congruent rectangles
  • 2 congruent triangles

Area of a rectangle = width × length

⇒ area of the rectangle = 3 ft × 10 ft = 30 ft²

Area of a triangle = 1/2 × base × height

⇒ area of the triangle = 1/2 × 3 ft × 2 ft = 3 ft²

Total surface area = 3 × area of the rectangle + 2 × area of the triangle

                              = 3 × 30 ft² + 2 × 3 ft²

                              = 90 ft² + 6 ft²

                              = 96 ft²

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