Respuesta :
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