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Video File Size worksheet

Grade 6 · CCSS 6.RP.A.3.d, 6.RP.A.3.b

Solve each problem and show your work. Round answers to 2 decimal places where needed.

  1. Problem 1.
    • Find: Video bitrate for a target size
    • Target file size: 2 GB
    • Audio bitrate per track: 200 kbps
    • Audio tracks: 2
    • Duration: hours: 1 h
    • Duration: minutes: 28 min
    • Duration: seconds: 0 s
    • Container overhead: 0%

    Find: Video bitrate

  2. Problem 2.
    • Find: File size
    • Video bitrate: 7 Mbps
    • Audio bitrate per track: 180 kbps
    • Audio tracks: 1
    • Duration: hours: 2 h
    • Duration: minutes: 24 min
    • Duration: seconds: 0 s
    • Container overhead: 0%

    Find: File size

  3. Problem 3.
    • Find: File size
    • Video bitrate: 8 Mbps
    • Audio bitrate per track: 190 kbps
    • Audio tracks: 2
    • Duration: hours: 2 h
    • Duration: minutes: 44 min
    • Duration: seconds: 0 s
    • Container overhead: 0%

    Find: File size

  4. Problem 4.
    • Find: File size
    • Video bitrate: 10 Mbps
    • Audio bitrate per track: 225 kbps
    • Audio tracks: 2
    • Duration: hours: 1 h
    • Duration: minutes: 32 min
    • Duration: seconds: 0 s
    • Container overhead: 0%

    Find: File size

  5. Problem 5.
    • Find: Video bitrate for a target size
    • Target file size: 2 GB
    • Audio bitrate per track: 180 kbps
    • Audio tracks: 1
    • Duration: hours: 1 h
    • Duration: minutes: 26 min
    • Duration: seconds: 0 s
    • Container overhead: 0%

    Find: Video bitrate

  6. Problem 6.
    • Find: Video bitrate for a target size
    • Target file size: 3 GB
    • Audio bitrate per track: 110 kbps
    • Audio tracks: 2
    • Duration: hours: 2 h
    • Duration: minutes: 20 min
    • Duration: seconds: 0 s
    • Container overhead: 0%

    Find: Video bitrate

  7. Problem 7.
    • Find: Video bitrate for a target size
    • Target file size: 2 GB
    • Audio bitrate per track: 240 kbps
    • Audio tracks: 1
    • Duration: hours: 2 h
    • Duration: minutes: 24 min
    • Duration: seconds: 0 s
    • Container overhead: 0%

    Find: Video bitrate

  8. Problem 8.
    • Find: File size
    • Video bitrate: 7 Mbps
    • Audio bitrate per track: 200 kbps
    • Audio tracks: 1
    • Duration: hours: 1 h
    • Duration: minutes: 22 min
    • Duration: seconds: 0 s
    • Container overhead: 0%

    Find: File size

  9. Problem 9.
    • Find: Video bitrate for a target size
    • Target file size: 2 GB
    • Audio bitrate per track: 225 kbps
    • Audio tracks: 1
    • Duration: hours: 1 h
    • Duration: minutes: 31 min
    • Duration: seconds: 0 s
    • Container overhead: 0%

    Find: Video bitrate

  10. Problem 10.
    • Find: File size
    • Video bitrate: 7 Mbps
    • Audio bitrate per track: 160 kbps
    • Audio tracks: 1
    • Duration: hours: 1 h
    • Duration: minutes: 26 min
    • Duration: seconds: 0 s
    • Container overhead: 0%

    Find: File size

Answer key: Video File Size worksheet

  1. 1. Video bitrate: 2.63 Mbps

    1. Change the length to seconds, since bitrates are per second

      1×3,600+28×60+0=5,280 s
    2. Turn the size into bits and divide by the seconds to see the total bitrate that fits

      2,000,000,000 bytes×85,280 s×1,000=3,030.303 kbps
    3. Take away the audio's share to leave the video bitrate, then divide by 1,000 for Mbps

      3,030.303 kbps−400 kbps=2,630.303 kbps=2.630303 Mbps
  2. 2. File size: 7.754 GB

    1. Change the length to seconds, since bitrates are per second

      2×3,600+24×60+0=8,640 s
    2. Change the video bitrate to kbps so it matches the audio

      7 Mbps×1,000=7,000 kbps
    3. Add the video and all the audio tracks to get the total bitrate

      7,000+180×1=7,180 kbps
    4. Multiply the bitrate by 1,000 (kbps to bits per second) and by the seconds to get bits, then divide by 8 bits per byte

      7,180×1,000×8,6408=7,754,400,000 bytes
    5. Change bytes to gigabytes (1 GB = 1,000,000,000 bytes), which are easier to read

      7,754,400,0001,000,000,000=7.7544 GB
  3. 3. File size: 10.307 GB

    1. Change the length to seconds, since bitrates are per second

      2×3,600+44×60+0=9,840 s
    2. Change the video bitrate to kbps so it matches the audio

      8 Mbps×1,000=8,000 kbps
    3. Add the video and all the audio tracks to get the total bitrate

      8,000+190×2=8,380 kbps
    4. Multiply the bitrate by 1,000 (kbps to bits per second) and by the seconds to get bits, then divide by 8 bits per byte

      8,380×1,000×9,8408=10,307,400,000 bytes
    5. Change bytes to gigabytes (1 GB = 1,000,000,000 bytes), which are easier to read

      10,307,400,0001,000,000,000=10.3074 GB
  4. 4. File size: 7.211 GB

    1. Change the length to seconds, since bitrates are per second

      1×3,600+32×60+0=5,520 s
    2. Change the video bitrate to kbps so it matches the audio

      10 Mbps×1,000=10,000 kbps
    3. Add the video and all the audio tracks to get the total bitrate

      10,000+225×2=10,450 kbps
    4. Multiply the bitrate by 1,000 (kbps to bits per second) and by the seconds to get bits, then divide by 8 bits per byte

      10,450×1,000×5,5208=7,210,500,000 bytes
    5. Change bytes to gigabytes (1 GB = 1,000,000,000 bytes), which are easier to read

      7,210,500,0001,000,000,000=7.2105 GB
  5. 5. Video bitrate: 2.921 Mbps

    1. Change the length to seconds, since bitrates are per second

      1×3,600+26×60+0=5,160 s
    2. Turn the size into bits and divide by the seconds to see the total bitrate that fits

      2,000,000,000 bytes×85,160 s×1,000=3,100.7752 kbps
    3. Take away the audio's share to leave the video bitrate, then divide by 1,000 for Mbps

      3,100.7752 kbps−180 kbps=2,920.7752 kbps=2.920775 Mbps
  6. 6. Video bitrate: 2.637 Mbps

    1. Change the length to seconds, since bitrates are per second

      2×3,600+20×60+0=8,400 s
    2. Turn the size into bits and divide by the seconds to see the total bitrate that fits

      3,000,000,000 bytes×88,400 s×1,000=2,857.1429 kbps
    3. Take away the audio's share to leave the video bitrate, then divide by 1,000 for Mbps

      2,857.1429 kbps−220 kbps=2,637.1429 kbps=2.637143 Mbps
  7. 7. Video bitrate: 1.612 Mbps

    1. Change the length to seconds, since bitrates are per second

      2×3,600+24×60+0=8,640 s
    2. Turn the size into bits and divide by the seconds to see the total bitrate that fits

      2,000,000,000 bytes×88,640 s×1,000=1,851.8519 kbps
    3. Take away the audio's share to leave the video bitrate, then divide by 1,000 for Mbps

      1,851.8519 kbps−240 kbps=1,611.8519 kbps=1.611852 Mbps
  8. 8. File size: 4.428 GB

    1. Change the length to seconds, since bitrates are per second

      1×3,600+22×60+0=4,920 s
    2. Change the video bitrate to kbps so it matches the audio

      7 Mbps×1,000=7,000 kbps
    3. Add the video and all the audio tracks to get the total bitrate

      7,000+200×1=7,200 kbps
    4. Multiply the bitrate by 1,000 (kbps to bits per second) and by the seconds to get bits, then divide by 8 bits per byte

      7,200×1,000×4,9208=4,428,000,000 bytes
    5. Change bytes to gigabytes (1 GB = 1,000,000,000 bytes), which are easier to read

      4,428,000,0001,000,000,000=4.428 GB
  9. 9. Video bitrate: 2.705 Mbps

    1. Change the length to seconds, since bitrates are per second

      1×3,600+31×60+0=5,460 s
    2. Turn the size into bits and divide by the seconds to see the total bitrate that fits

      2,000,000,000 bytes×85,460 s×1,000=2,930.4029 kbps
    3. Take away the audio's share to leave the video bitrate, then divide by 1,000 for Mbps

      2,930.4029 kbps−225 kbps=2,705.4029 kbps=2.705403 Mbps
  10. 10. File size: 4.618 GB

    1. Change the length to seconds, since bitrates are per second

      1×3,600+26×60+0=5,160 s
    2. Change the video bitrate to kbps so it matches the audio

      7 Mbps×1,000=7,000 kbps
    3. Add the video and all the audio tracks to get the total bitrate

      7,000+160×1=7,160 kbps
    4. Multiply the bitrate by 1,000 (kbps to bits per second) and by the seconds to get bits, then divide by 8 bits per byte

      7,160×1,000×5,1608=4,618,200,000 bytes
    5. Change bytes to gigabytes (1 GB = 1,000,000,000 bytes), which are easier to read

      4,618,200,0001,000,000,000=4.6182 GB