Calculate the sum of the edges, the area and volume of a rectangular parallelepiped whose measurement is 14 cm, 70 mm, 3 dm.
First, let’s convert all measurements to centimeters:
70mm = 0.7cm
3dm = 30cm
Now let’s find the sum of the edges of this rectangular parallelepiped. It is known that a rectangular parallelepiped has 4 edges of each type. In this case, their total amount will be as follows:
14 * 4 + 0.7 * 4 + 30 * 4 = 56 + 2.8 + 120 = 178.8 (cm) – the sum of the lengths of all ribs.
A rectangular parallelepiped has 6 faces, with a total of 3 different faces, each of which coincides with the opposite one. To find the area of the entire parallelepiped, find the sum of the areas of its three different faces and multiply it by two:
(14 * 0.7 + 14 * 30 + 0.7 * 30) * 2 = (9.8 + 420 + 21) * 2 = 450.8 * 2 = 901.6 (cm2) – area of a rectangular parallelepiped
The volume of a parallelepiped is found as the product of its three edges:
14 * 0.7 * 30 = 294 (cm3) – the volume of a rectangular parallelepiped.
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