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inna [77]
2 years ago
9

Need Explanation For This Asap! <3 528 cm2 538 cm2 558 cm2

Mathematics
2 answers:
blsea [12.9K]2 years ago
7 0

Answer:

528 cm²

Step-by-step explanation:

The surface area of this prism comprises:

  • 2 congruent triangles (the bases of the prism)
  • 2 congruent rectangles (rectangle 1 and 2) - since the triangle has 2 sides of equal length
  • 1 rectangle (rectangle 3)

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

                             = 1/2 × 16 × 6

                             = 48 cm²

Area of rectangle 1 / 2 = width × length

                                     = 10 × 12

                                     = 120 cm²

Area of rectangle 3 = width × length

                                = 16 × 12

                                = 192 cm²

Total Surface Area = 2 triangles + 2 rectangles + rectangle 3

                                = (2 × 48) + (2 × 120) + 192

                                = 96 + 240 + 192

                                = 528 cm²

alexira [117]2 years ago
4 0

Area of two triangles

  • 2×1/2BH
  • BH
  • 16(6)
  • 96cm²

Area of base rectangle

  • 12(16)
  • 192cm²

Area of rest two rectangles

  • 2LB
  • 2(10)(12)
  • 120(2)
  • 240cm²

Total area

  • 240+192+96
  • 528cm²
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