Answer: 22ft^3
Step-by-step explanation:
First, find the volume of the little cubes that the rectangular prism can hold inside of itself.
The formula for volume of a rectangular prism is:
V = length x width x height.
= 1/2 x 1/2 x 1/2
= 1/8
Now, since the rectangular prism can hold 176 of these cubes, you need to multiply each cubes volume, 1/8, by 176. 1/8 x 176 = 22
Therefore, the volume of the box is 22ft^3
