perfectstarter30
perfectstarter30 perfectstarter30
  • 24-11-2020
  • Mathematics
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what is the surface area of the triangular prism represented by the net below?

what is the surface area of the triangular prism represented by the net below class=

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sqdancefan
sqdancefan sqdancefan
  • 24-11-2020

9514 1404 393

Answer:

  608 cm²

Step-by-step explanation:

The central rectangle is 10+12+10 = 32 cm high and 16 cm wide. Its area is ...

  A = LW = (32 cm)(16 cm) = 512 cm²

Each of the two triangles on the side have an area of ...

  A = 1/2bh = (1/2)(12 cm)(8 cm) = 48 cm²

There are two triangles and one rectangle, so the total surface area is ...

  total area = rectangle area + 2 · triangle area

  total area = 512 cm² +2(48 cm²) = 608 cm²

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