To determine the height of a rectangular storage bin, given its floor area and volume, follow these steps:
1. Identify the given information:
- The area of the floor of the storage bin: 72 square feet.
- The volume of the storage bin: 720 cubic feet.
2. Understand the relationship between volume, area, and height:
- The formula for the volume of a rectangular prism (storage bin) is:
[tex]\[
\text{Volume} = \text{Area of the floor} \times \text{Height}
\][/tex]
- We need to find the height, so we rearrange the formula to solve for height:
[tex]\[
\text{Height} = \frac{\text{Volume}}{\text{Area of the floor}}
\][/tex]
3. Substitute the given values into the formula:
[tex]\[
\text{Height} = \frac{720 \text{ cubic feet}}{72 \text{ square feet}}
\][/tex]
4. Perform the division:
[tex]\[
\text{Height} = \frac{720}{72} = 10 \text{ feet}
\][/tex]
Therefore, the height of the storage bin is 10 feet.
