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d1i1m1o1n [39]
3 years ago
5

HELPPPPPPPPPPPPPPPPPPPPP

Mathematics
1 answer:
Leno4ka [110]3 years ago
4 0

Answer:

29

Step-by-step explanation:

Hope this helps

Have a great day

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Find the TSA for the trapezoidal prism
8090 [49]

Answer:

TAS = 43.99 m²

Step-by-step explanation:

  • TSA = total surface area
  • Area of a trapezoid = (1/2)(a + b)h
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  • 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

4 0
3 years ago
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