How many times will the total surface area of a rectangular parallelepiped increase if each of its edges is doubled?
| July 26, 2021 | education
Spp = 2 (a × b + a × c + b × c), a, b, c are the edges of the parallelepiped;
Spp × X = 2 (2a × 2b + 2a × 2c + 2b × 2c), place 2 outside the brackets;
Spp × X = 4 (a × b + a × c + b × c);
x = 4 (a × b + a × c + b × c) / Spp, therefore;
x = 4 (a × b + a × c + b × c) / 2 (a × b + a × c + b × c);
x = 2 hence Spp will increase 2 times, if each edge is increased 2 times.
Answer: 2
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