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Sagot :

semsee45

Answer:

1008 cm²

Step-by-step explanation:

The triangular prism comprises:

  • 2 congruent end triangles
  • 3 different rectangles

Formulae

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

Area of a rectangle = width × length

Total surface area:

= 2 triangles + rectangle 1 + rectangle 2 + rectangle 3

= 2(1/2 × (9 + 5) × 12) + (15 × 20) + (13 × 20) + ((5 + 9) × 20)

= 2(1/2 × 14 × 12) + (15 × 20) + (13 × 20) + (14 × 20)

= 168 + 300 + 260 + 280

= 1008 cm²

Area of two side triangles

  • 1/2BH
  • 1/2(12)(5+9)
  • 6(14)
  • 84cm²×2
  • 168cm²

Area of atop rectangles

  • 15(20)+(13)(20)
  • (15+13)(20)
  • 28(20)
  • 560cm²

Area of base rectangle

  • 20(14)
  • 280cm²

TSA

  • 280+560+168
  • 840+168
  • 1008cm²
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