Answer:
See Explanation
Step-by-step explanation:
Given
Cube:
[tex]L = \frac{1}{2}\ in[/tex]
[tex]Cubes = 189[/tex]
The question is incomplete. However, I will solve for the volume of the rectangular box.
First, calculate the volume of 1 cube.
[tex]Volume = Length^3[/tex]
[tex]V_1 = L^3[/tex]
[tex]V_1 = \frac{1}{2}^3[/tex]
[tex]V_1 = \frac{1}{8}[/tex]
The volume of the box is calculated by multiplying the number of cubes by the volume of the cube.
[tex]V_2 = 189 * V_1[/tex]
[tex]V_2 = 189 * \frac{1}{8}\ in^3[/tex]
[tex]V_2 = \frac{189}{8}\ in^3[/tex]
[tex]V_2 = 23.625\ in^3[/tex]
The volume of the box is [tex]23.625\ in^3[/tex]
