To calculate the storage space required for a 1-minute raw WAV audio file, we need to consider the following details provided in the question:

1. Sampling Rate: 44.1 kHz (44,100 samples per second)
2. Bit Depth (Height): 16-bit (each sample uses 16 bits, or 2 bytes)
3. Duration: 1 minute (60 seconds)
4. Channels: This information is not provided, so we will assume it's a mono (1 channel) recording unless stereo (2 channels) is specified.

Formula:

The total storage requirement for the WAV file can be calculated as:

$\text{File Size (in bytes)} = \text{Sampling Rate} \times \text{Bit Depth (in bytes)} \times \text{Channels} \times \text{Duration (in seconds)}$

For Mono (1 channel):

$\text{File Size} = 44,100 \, \text{samples/second} \times 2 \, \text{bytes/sample} \times 1 \, \text{channel} \times 60 \, \text{seconds}$ $\text{File Size} = 44,100 \times 2 \times 60 = 5,292,000 \, \text{bytes}$

Converting to megabytes (1 MB = 1,048,576 bytes): $\text{File Size} \approx \frac{5,292,000}{1,048,576} \approx 5.05 \, \text{MB}$

For Stereo (2 channels):

$\text{File Size} = 44,100 \times 2 \, \text{bytes/sample} \times 2 \, \text{channels} \times 60$ $\text{File Size} = 44,100 \times 2 \times 2 \times 60 = 10,584,000 \, \text{bytes}$

Converting to megabytes: $\text{File Size} \approx \frac{10,584,000}{1,048,576} \approx 10.09 \, \text{MB}$

Summary:

• For Mono: The file size is approximately 5.05 MB.
• For Stereo: The file size is approximately 10.09 MB.

Would you like more details on the calculations or additional clarification?

Related Questions:

1. What is the difference between mono and stereo WAV files?
2. How does the bit depth affect the quality and file size of audio?
3. What is the role of compression in reducing the file size of audio files like MP3?
4. How does increasing the sampling rate impact audio quality and file size?
5. How can we calculate the storage for other durations of audio?

Tip: WAV files are uncompressed, which means they retain high audio quality but take up more storage than compressed formats like MP3 or AAC.