Find the sum of the lengths of all edges and the surface area of the rectangular parallelepiped.

| June 3, 2021 | education

Find the sum of the lengths of all edges and the surface area of the rectangular parallelepiped. where a is equal to 15 cm in is equal to 6 cm and c is equal to 3 cm.

By the condition of the problem, three dimensions of a rectangular parallelepiped are known.

Let us find the surface area equal to the doubled sum of the areas of the three faces of the rectangular parallelepiped:

S = 2 (15 * 6 + 15 * 3 + 6 * 3) = 2 (90 + 45 + 18) = 2 * 153 = 306 (cm²).

Let us find the sum of the lengths of all edges of the rectangular parallelepiped, which is equal to the product of the sum of the lengths of all its three faces by the number 4:

L = 4 (15 + 6 + 3) = 4 * 24 = 96 (cm).

Answer: the sum of the lengths of all the edges of a rectangular parallelepiped is 96 cm, its surface area is 306 cm².



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