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in Surface Areas And Volumes by (42.7k points)
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How does the total surface area of a box change if each dimension is tripled ?

1 Answer

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Best answer

Let the original and changed dimensions are l, b, 

h and 31, 3b, 3h 

Original T.S.A. = 2 (lb + bh + lh) 

Changed T.S.A 

= 2 (3l . 3b + 3b . 3h + 3l. 3h)

Changed T S.A. = 2 (9lb + 9bh + 9lh) 

= 9 × [2 (lb + bh + lh)] 

= 9 [original T.S.A.] 

Thus original T.S.A. increased by 9 times if each dimension is tripled.

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