Calculate the number of shelving units to be purchased for storing medical records based on the following information:

  8 shelves per unit            Average record size = 1 inch
36 inches per shelf            30,200 records 

To calculate the number of shelving units required for storing 30,200 medical records, follow these steps:

### Step 1: Determine the total filing inches needed.
Since the average size of each record is 1 inch, the total filing inches required for 30,200 records is:

\[
\text{Total Filing Inches} = 30,200 \times 1 = 30,200 \text{ linear inches}
\]

### Step 2: Determine the filing capacity of one shelving unit.
Each shelving unit has 8 shelves, and each shelf is 36 inches long. Therefore, the total capacity of one shelving unit is:

\[
\text{Capacity of One Unit} = 8 \times 36 = 288 \text{ linear inches}
\]

### Step 3: Calculate the number of shelving units required.
To find the number of shelving units needed, divide the total filing inches by the capacity of one unit:

\[
\text{Number of Units Required} = \frac{30,200}{288} \approx 104.86
\]

Since you cannot purchase a fraction of a shelving unit, you would round up to the nearest whole number. Therefore, the department should purchase **105 shelving units**.

---

Would you like more details or have any questions?

Here are 5 related questions to expand on this topic:
1. How would the number of shelving units change if each shelf was 42 inches long instead of 36 inches?
2. What if the department needed to store 35,000 records instead of 30,200?
3. How could a reduction in the average record size affect the number of units needed?
4. What strategies could be used to minimize the number of units required?
5. How would storing digital records affect the department's shelving needs?

**Tip:** When estimating the number of storage units, always round up to ensure you have enough space to accommodate all records.

Learn how to calculate the number of shelving units needed to store 30,200 medical records based on average record size and shelving dimensions. This problem involves arithmetic operations, division, and rounding up to ensure sufficient storage space. Suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation