Question

What is the area of the composite solid?

300 sq. ft.

296 sq. ft.

336 sq. ft.

372 sq. ft.

Answer 1

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