The length of the rectangular parallelepiped is 24 cm and the width is 3 times

The length of the rectangular parallelepiped is 24 cm and the width is 3 times the length and the height is 8 cm less than the length, find the sum of the areas.

Given:
The length of the rectangular parallelepiped is 24 cm.
The width of the parallelepiped is 3 times its length.
The height of the figure is 8 cm less than the length.
Let’s calculate the width:
24 * 3 = 72 cm.
Find the length of the height:
24 = 8 = 16 cm.
Let’s find the area of one face of the parallelepiped:
24 * 72 = 1728 cm2.
Let’s calculate the area of the second face:
24 * 16 = 384 cm2.
The third facet will occupy the area:
72 * 16 = 1152 cm2.
We calculate the area of the entire surface of the figure:
(1728 + 384 + 1152) * 2 = 6528 cm2.
Answer: S = 6528 cm2.



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