The volume of the rectangular parallelepiped is 320 cm3. Each dimension of this parallelepiped

| March 9, 2021 | education

The volume of the rectangular parallelepiped is 320 cm3. Each dimension of this parallelepiped was halved. Find the volume of the new box.

The volume (V) of a rectangular parallelepiped is equal to the product of its three dimensions: V = a * b * c, where a, b and c are the lengths of its edges.
According to the conditions of the assignment, V = 320 cm3.
If we reduce each dimension of this rectangular parallelepiped by half, then we get a new rectangular parallelepiped with the following dimensions a / 2, b / 2 and c / 2.
Let us denote by Vн – the volume of the new rectangular parallelepiped and calculate its value from the available information. We have: Vн = (a / 2) * (b / 2) * (c / 2) = (a * b * c) / (2 * 2 * 2) = V / 8.
Considering V = 320 cm3, we finally get: Vн = (320 cm3) / 8 = (320: 8) cm3 = 40 cm3.
Answer: The volume of the new rectangular parallelepiped is 40 cm3.



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