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Answer:

The answer is 148

(13)^3 = 1/3 x 1/3 x 1/3 = 1/27

3996 divided by 1/27 = 148

I am 100% sure this is the answer.

The volume of the given prism consisting of 3996 cubes is  148 cubic inches.

It is given that

Length of cube = 1/3 inch

Total number of cubes = 3996

What is the volume of a cube?

The volume V of a cube with side a is:

[tex]V=a^3[/tex]

Volume of the cube = 1/3*1/3*1/3 = 1/27 cubic inch.

The volume of the prism = sum of the volumes of 3996 cubes.

The volume of the prism = volume of a cube*3996.

The volume of the prism = 1/27 * 3996 = 148 cubic inches.

Therefore, volume of the given prism is 148 cubic inches.

To get more about prism refer to:

https://brainly.com/question/23963432

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