Question

how does the total surface area of a box change if each dimension is doubled​

Answer 1

Answer:

it becomes 2n times.

Step-by-step explanation:

we can find the TSA for the condition if each side of the cuboid is multiplied n times. Hence, if the dimensions of cuboid is multiplied n times, the total surface area become 2n times the original area.

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Answer 2

✪ Let its edge be a units

So, its surface area is 6$a^{2}$

Now after doubling the dimensions we get:

Surface area = 6 $(2a)^{2}$ = 24$a^{2}$

So, we can see that the surface area has increased by 4 times

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