The surface area of a shape is the amount of space on the shape
When the dimensions are quadrupled, the new surface area would be 16 times the initial surface area
How to determine the surface area
The surface area of a rectangular prism is:
[tex]S = 2 * (lw + lh + wh)[/tex]
When quadrupled, we have:
[tex]S_2 = 2 * (16lw + 16lh + 16wh)[/tex]
Factor out 16
[tex]S_2 =16 * 2 * (lw + lh + wh)[/tex]
Substitute [tex]S = 2 * (lw + lh + wh)[/tex]
[tex]S_2 =16 * 2 * S[/tex]
The above means that:
The new surface area would be 16 times the initial surface area
Read more about surface areas at:
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