Sarah received a gift in a rectangular box with a volume of 240 in3. If the base of the box was 20 in2, how tall was the box?
Answer: 12 in.
Step-by-step explanation:
We know that the volume of a rectangular prism is given by :-
\(\text{Volume}=\text{Base area}\times \text{height}\)
Since, the volume of the rectangular box = \(240\ in^3\)
The base area of the box = \(20\ in^2\)
Let h be the height of the box.
Substitute these values in the above formula , we get
\(\text{240}=20\times h\\\\\Rightarrow\ h=\frac{240}{20}=12\ in.\)
Hence, the height of the box = 12 in.