# Given a rectangular parallelepiped at its base lies a rectangle with sides 5cm and 7cm

August 23, 2021 | education

| **Given a rectangular parallelepiped at its base lies a rectangle with sides 5cm and 7cm, the height of the parallelepiped is 16cm. Find the area of the side and full surface of this parallelepiped.**

First, we need to find all the basic dimensions of the parallelepiped, and then find the areas of its full and lateral surfaces.

Let’s find the area of the lateral surface:

5 * 16 + 5 * 16 + 7 * 16 + 7 * 16 = 80 + 80 + 112 + 112 = 160 + 224 = 384 cm2.

Let’s find the area of the bases:

5 * 7 * 2 = 35 * 2 = 70 cm2.

Full surface:

384 + 70 = 454 cm2

Answer: 454 cm2.

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