how does the total surface area of box change if each dimension is doubled
perfectstormswift:
Box is in the shape of cube?
yes
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The box is in the shape of cube (As mentioned in the comment section)
Now, we know that the TSA of cube = 6a², where a= side
If the side of the cube is doubled, its new side will be 2a
So the TSA of cube will now be 6*(2a)²
= 6 * 4a²
= 24a²
Note that earlier the TSA was 6a², and now it is 24a². Thus it has increased 4 times.
Your answer= It increases 4 times
Now, we know that the TSA of cube = 6a², where a= side
If the side of the cube is doubled, its new side will be 2a
So the TSA of cube will now be 6*(2a)²
= 6 * 4a²
= 24a²
Note that earlier the TSA was 6a², and now it is 24a². Thus it has increased 4 times.
Your answer= It increases 4 times
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