SOLUTION: A formula for the surface area (A) of the rectangular solid is A=2lw+2lh+2wh where l represents length; w, width; and h, height. By doubling each of the dimensions (l, w, and h), t
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-> SOLUTION: A formula for the surface area (A) of the rectangular solid is A=2lw+2lh+2wh where l represents length; w, width; and h, height. By doubling each of the dimensions (l, w, and h), t
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Question 1009549: A formula for the surface area (A) of the rectangular solid is A=2lw+2lh+2wh where l represents length; w, width; and h, height. By doubling each of the dimensions (l, w, and h), the surface area will be multiplied by what factor? Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website! I could give you the answer, but let's explore what happens if we substitute 2l, 2w, and 2h in for l, w, and h in the formula
A = 2lw + 2lh + 2wh
We get
A' = 2(2l)(2w) + 2(2l)(2h) + 2(2w)(2h)
A' = 8lw + 8lh + 8wh
which is exactly FOUR times the original area A.
