Given a rectangular parallelepiped, its length is 14cm, width is 13cm, height is 4cm. Find the surface area of the parallelepiped

| September 12, 2021 | education

Given a rectangular parallelepiped, its length is 14cm, width is 13cm, height is 4cm. Find the surface area of the parallelepiped, the sum of the lengths of all edges, and the volume of the parallelepiped.

The surface area of a rectangular parallelepiped is calculated by the formula:
S = 2 * (a * b + a * c + b * c) = 2 * (14 * 13 + 14 * 4 + 13 * 4) = 2 * (182 + 56 + 52) = 2 * 290 = 580 ( cm²).
A rectangular parallelepiped has 12 edges (edge is a side of a face). We find the sum of their lengths:
(14 + 13 + 4) * 4 = 31 * 4 = 124 (cm).
We find the volume of a rectangular parallelepiped by the formula:
V = S * h = a * b * c = 14 * 13 * 4 = 728 (cm³).
Answer: the surface area is 580 cm², the sum of the lengths of the ribs is 124 cm, the volume of the rectangular parallelepiped is 728 cm³.



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