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

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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