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Artyom0805 [142]
4 years ago
13

Can someone help me find the solution to the situation?

Mathematics
1 answer:
lorasvet [3.4K]4 years ago
6 0

Answer:

448 in²

Step-by-step explanation:

Larger cube:

6s² - overlapping square

6(8²) - 4²

6×64 - 4²

384 - 16

368

Smaller cube:

5(4²)

5×16

80

Area = 368 + 80

448 in²

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The slant height is 51 cm. The radius can be found from the Pythagorean theorem:
  r^2 + (24 cm)^2 = (51 cm)^2
  r^2 = (51^2 -24^2) cm^2 = 2025 cm^2
  r = 45 cm

The area of the circular base is
  A = π·r^2 = 2025π cm^2

The lateral area is
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  A = π·(45 cm)·(51 cm) = 2295π cm^2

Then the total area is
  total area = base area + lateral area
  = 2025π cm^2 + 2295π cm^2
  = 4320π cm^2
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