a storage container holding 2400 cubic feet of rice is 4 feet deep $\times$ 20 feet wide. how long, in feet, is the storage container?

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Equations", "Algebraic Isolation" ], "new_concepts": [ "Volume of a Rectangular Prism" ], "current_concepts": [ "Volume of a Rectangular Prism", "Linear Equations", "Algebraic Isolation" ] } ## Identify the volume formula and given values $$ \begin{aligned} &V = \text{depth} \times \text{width} \times \text{length}\ &V = 2400\ &\text{depth} = 4\ &\text{width} = 20 \end{aligned} $$ ## Set up the equation for length $$ \begin{aligned} &2400 = 4 \times 20 \times L\ &2400 = 80 \times L \end{aligned} $$ ## Solve for the unknown length $$ \begin{aligned} &L = \frac{2400}{80}\ &L = 30 \end{aligned} $$ A storage container holding 2400 cubic feet of rice is 4 feet deep x 20 feet wide. How long, in feet, is the storage container? Enter a numerical value only 30 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Volume of a Rectangular Prism" ] }

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Explanation:

Identify the volume formula and given values

Set up the equation for length

Solve for the unknown length

Answer: