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If the length of each side of a cube is tripled, what will be the change in its surface area?​

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Answer:

48 times the original surface area.

Explanation:

When the length of each side of a cube is tripled, the new length of each side becomes 3 times the original length.

Let's denote the original length of a side as "a".

Original Surface Area = 6a^2

New Length of Side = 3a

New Surface Area = 6(3a)^2 = 6(9a^2) = 54a^2

Change in Surface Area = New Surface Area - Original Surface Area

Change in Surface Area = 54a^2 - 6a^2 = 48a^2

User Victor De Almeida
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