The sides of the rectangular parallelepiped are 2 cm and 4 cm. Height is 9 cm. Find its full surface of the prism.
| September 25, 2021 | education
The surface area of a rectangular parallelepiped is equal to twice the sum of the areas of the three faces of this parallelepiped.
S = 2 (S1 + S2 + S3).
The faces of a rectangular parallelepiped are rectangles. The area of a rectangle is equal to the product of its sides.
Let’s denote the sides of a rectangular parallelepiped: a = 2, b = 4, c = 9.
S1 = ab; S1 = 2 * 4 = 8;
S2 = bc; S2 = 4 * 9 = 36;
S3 = ac; S3 = 2 * 9 = 18;
S = 2 * (8 + 36 + 18) = 124.
Answer. 124.
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