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Total Surface Area of a Cuboid

If the length...

Question

If the length of each edge of a cube is tripled, what will be the change in its volume?

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Solution

$L e t l e n g t h o f c u b e b e x, t h e n i n i t i a l v o l u m e = x^{3} n o w l e n g t h i s c h a n g e d t o = 3 x t h e n f i n a l v o l u m e = (3 x)^{3} = 27 x^{3} ∴ c h a n g e i n v o l u m e = 27 x^{3} - x^{3} = 26 x^{3}$

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