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Find the TSA for the trapezoidal prism

Find The TSA For The Trapezoidal Prism class=

Sagot :

semsee45

Answer:

TAS = 43.99 m²

Step-by-step explanation:

  • TSA = total surface area
  • Area of a trapezoid = (1/2)(a + b)h
    (where a and b are the parallel sides and h is the height)
  • Area of a rectangle = width x length

This prism is made up of 4 rectangles and 2 congruent trapezoids.

Area of trapezoid = (1/2) x (1.4 + 2.3) x 1.9 = 3.515 m²

⇒ area of 2 trapezoids = 3.515 x 2 = 7.03 m²

Area of base rectangle = 2.3 x 4.8 = 11.04 m²

Area of top rectangle = 1.4 x 4.8 = 6.72 m²

Area of back rectangle = 1.9 x 4.8 = 9.12 m²

Area of sloped rectangle = 2.1 x 4.8 = 10.08 m²

Total surface area = 7.03 + 11.04 + 6.72 + 9.12 + 10.08 = 43.99 m²

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