What is the area S of the surface of a rectangular parallelepiped if its dimensions are equal to a, b, c?
| September 16, 2021 | education
The opposite sides of a rectangular parallelepiped are equal to each other and are rectangles.
Therefore, the area of its entire surface S will be the sum: S = 2 * S1 + 2 * S2 + 2 * S3 = 2 * (S1 + S2 + S3), where S1, S2, S3 are the areas of the corresponding faces.
The area of a rectangle is expressed by the product of its sides, so S1 = a * b, S2 = a * c, S3 = b * c.
The area of a rectangular parallelepiped is determined by the formula: S = 2 * (a * b + a * c + b * c).
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