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:
\(V=a^3\)
Volume of the cube = 1/31/31/3 = 1/27 cubic inch.
The volume of the prism = sum of the volumes of 3996 cubes.
The volume of the prism = volume of a cube3996.
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:
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