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olga nikolaevna [1]
3 years ago
14

Calculate the surface area of the prism. Measurements are in centimetres

Mathematics
1 answer:
Nata [24]3 years ago
6 0

Answer:

2804 cm²

Step-by-step explanation:

<u>Total area comprises of 6 faces: 2 trapezoids and 4 rectangles</u>

  • Trapezoid = 1/2*(14+32)*24 = 552 cm² each
  • Bottom = 17*32 = 544 cm²
  • Top = 14*17 = 238 cm²
  • Right side = 17*24 = 408 cm²
  • Left side = 17*√((24² + (32-14)²) = 17* √900 = 17*30 = 510 cm²

<u>Total area:</u>

552*2 + 544 + 238 + 408 + 510 =  2804 cm²

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