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A rectangular solid has a volume of 24 cubic decimeters. If the length, width, and height are all changed to half of their original size, what will be the new volume of the rectangular solid?

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Final answer:

The new volume of the rectangular solid is 1728 cubic decimeters.

Step-by-step explanation:

The original volume of the rectangular solid is 24 cubic decimeters.

To find the new volume after changing the length, width, and height to half of their original size, we need to calculate the new dimensions and then multiply them together.

Half of the original length, width, and height would be half of 24, which is 12.

The new volume of the rectangular solid is obtained by multiplying the new dimensions together: 12 x 12 x 12 = 1728 cubic decimeters.

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