waddlelikeapenguin69 waddlelikeapenguin69
  • 20-12-2022
  • Mathematics
contestada

What is the area of the composite solid?

300 sq. ft.

296 sq. ft.

336 sq. ft.

372 sq. ft.

What is the area of the composite solid 300 sq ft 296 sq ft 336 sq ft 372 sq ft class=

Respuesta :

mhanifa
mhanifa mhanifa
  • 20-12-2022

Answer:

  • C) 336 ft²

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It is assumed you need the full surface area.

Find rectangular faces:

  • 2(4*6 + 12*4) + 6(12 - 6) + 12*6 = 252 ft²

Find triangular faces:

  • 2(4*6/2) = 24 ft²

Find the sloped side of the triangle given base and height.

  • Half of the base is 6/2 = 3 ft, height is 4 ft.
  • It makes a Pythagorean triangle 3:4:5, so the missing side is 5 ft.

Find the two sloped faces:

  • 2(5*6) = 60 ft²

Now, find the total:

  • 252 + 24 + 60 = 336 ft²
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