Find the surface area of a rectangular parallelepiped whose sides are 9m, 24m, 11m.

We denote the sides of a given rectangular parallelepiped a = 9 m, b = 24 m, c = 11 m, the surface area of ​​a given figure – S

It is known that a parallelepiped in which all faces are rectangles is a rectangular parallelepiped. Opposite faces are equal to each other

The surface area of ​​any parallelepiped is equal to the sum of the areas of all six faces.

Then we can write the following expression for the surface area of ​​a parallelepiped:

S = a * b + a * b + a * c + a * c + b * c + b * c = 2 * (a * b + a * c + b * c),

substituting numerical values, we get:

S = 2 * (9 * 24 + 9 * 11 + 24 * 11) = 2 * (216 + 99 + 264) = 2 * 579 = 1158 (m2).

Answer: S = 1158 square meters.



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