Find the surface area of a rectangular parallelepiped whose sides are 9m, 24m, 11m.
April 28, 2021 | education
| 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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