Math Problem Statement

if one file of 15 seconds is 100MB, how many GB will 3 hours of footage be?

Solution

To calculate how many GB are needed for 3 hours of footage if a 15-second file is 100 MB, follow these steps:

Step 1: Calculate how many 15-second segments are in 3 hours

  • 3hours=3×60×60=10,800seconds3 \, \text{hours} = 3 \times 60 \times 60 = 10,800 \, \text{seconds}
  • Each segment is 15 seconds, so: 10,800seconds15seconds/segment=720segments\frac{10,800 \, \text{seconds}}{15 \, \text{seconds/segment}} = 720 \, \text{segments}

Step 2: Calculate the total file size in MB

  • Each 15-second segment is 100 MB, so: 720segments×100MB/segment=72,000MB720 \, \text{segments} \times 100 \, \text{MB/segment} = 72,000 \, \text{MB}

Step 3: Convert MB to GB

  • 1GB=1,024MB1 \, \text{GB} = 1,024 \, \text{MB}, so: 72,000MB1,024MB/GB70.31GB\frac{72,000 \, \text{MB}}{1,024 \, \text{MB/GB}} \approx 70.31 \, \text{GB}

Final Answer:

3 hours of footage will require approximately 70.31 GB of storage.

Would you like further clarification or additional examples?


Here are some related questions for further exploration:

  1. How can you optimize file sizes for video storage?
  2. What is the difference between MB and MiB in storage calculations?
  3. How does changing the resolution or bitrate affect the file size of video footage?
  4. How much storage would be required for 6 hours of footage at the same rate?
  5. What tools can compress video files without significantly reducing quality?

Tip: Always check the bitrate and resolution when planning storage for video files, as they directly impact file size.

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Division
Multiplication

Formulas

Total time in seconds = Hours × 60 × 60
Number of segments = Total time in seconds / Duration of each segment
Total size in MB = Number of segments × Size per segment
Size in GB = Total size in MB / 1024

Theorems

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Suitable Grade Level

Grades 8-10