The length of a rectangular parallelepiped is 14.1 cm, width 8 cm and height 2.5 cm
May 18, 2021 | education
| The length of a rectangular parallelepiped is 14.1 cm, width 8 cm and height 2.5 cm, find the volume, surface area and the sum of the lengths of all edges of this parallelepiped.
A rectangular parallelepiped is a parallelepiped with each face being a rectangle.
Its volume is calculated by the formula:
V = a * b * c.
The sum of the lengths of all edges of such a figure is determined by the formula:
L = 4 * (a + b + c).
Surface area:
S = 2 * (ab + bc + ac).
Let’s find these values, provided that the length is 14.1 cm, width = 8 cm, height = 2.5 cm:
V = 14.1 * 8 * 2.5 = 282 cm³.
L = 4 * (14.1 + 8 + 2.5) = 4 * 24.6 = 98.4 cm.
S = 2 * (14.1 * 8 + 8 * 2.5 + 14.1 * 2.5) = 2 * (112.8 + 20 + 35.25) = 2 * 168.05 = 336.1 cm² …
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