canyon37409
canyon37409 canyon37409
  • 01-09-2017
  • Mathematics
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What is the total surface area of this composite solid ?

What is the total surface area of this composite solid class=

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eco92 eco92
  • 01-09-2017
Each of the small 12 identical blocks has dimensions 4 by 5 by 7 inches.

Together they form a larger block of:

width w=5 in
length l = 7 in+7 in+7 in = 21 in 
height h = 4 in + 
4 in + 4 in + 4 in=16 in

The total area of the block is:

(front face+back face)+("floor" face + "ceiling" face) + 2 side faces
=
16 * 21 + 16*21 + 5*21+ 5*21 + 5*16+5*16  (square inches)
=
336+336+105+105+80+80  (square inches)

= 672+210+160 (square inches)

=1,042 square inches


Answer: 1,042 square inches

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