To find the total capacity of the storage container, we start by determining how much fertilizer is deposited over the total period of time mentioned.
- The farm deposits 1.5 ft³ of fertilizer each week.
- After 5 weeks, they have deposited:
\[ 1.5 , \text{ft}^3/\text{week} \times 5 , \text{weeks} = 7.5 , \text{ft}^3 \]
This means that at the end of 5 weeks, there are already 7.5 ft³ in the container.
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It is stated that after 5 weeks, the total amount of fertilizer in the container is 15 ft³. This means an additional 7.5 ft³ of fertilizer must already be in the container when they started depositing (since \(15 , \text{ft}^3 - 7.5 , \text{ft}^3 = 7.5 , \text{ft}^3\)).
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After the initial 5 weeks, it takes 14 more weeks to fill the container. During these 14 weeks, the farm adds more fertilizer:
\[ 1.5 , \text{ft}^3/\text{week} \times 14 , \text{weeks} = 21 , \text{ft}^3 \]
- Adding this to the 15 ft³ already in the container gives:
\[ 15 , \text{ft}^3 + 21 , \text{ft}^3 = 36 , \text{ft}^3 \]
Thus, the total capacity of the storage container is:
\[ \boxed{36 , \text{ft}^3} \]