Answer: 12 in.
Step-by-step explanation:
We know that the volume of a rectangular prism is given by :-
[tex]\text{Volume}=\text{Base area}\times \text{height}[/tex]
Since, the volume of the rectangular box = [tex]240\ in^3[/tex]
The base area of the box = [tex]20\ in^2[/tex]
Let h be the height of the box.
Substitute these values in the above formula , we get
[tex]\text{240}=20\times h\\\\\Rightarrow\ h=\frac{240}{20}=12\ in.[/tex]
Hence, the height of the box = 12 in.
