The edges of one parallelepiped are 2 times larger than its counterpart. How many times is the volume

| May 18, 2021 | education

The edges of one parallelepiped are 2 times larger than its counterpart. How many times is the volume of the second parallelepiped less than the volume of the first?

As you know, the ratio of the areas of such figures is equal to the square of the similarity coefficient. What happens to the volumes of such figures. It would be logical to assume that their ratio will be equal to the cube of the similarity coefficient, since in the case of the volume, a third dimension is added (for example, if only the length and width are measured for a rectangle, then the height is also added for the parallelepiped). In our case, the edges of the parallelepipeds are related as in 2 to 1, that is, the similarity coefficient is 2. This means that the volumes of these figures are as in 8 to 1.
Answer: 8 times.



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