How much storage space is needed to hold two minutes of video data, containing 1024x768 pixel true-color images, at a frame rate of twenty (20) frames per second?

To calculate the required storage space for two minutes of video with the given parameters, we'll follow these steps:

### Step 1: Calculate the number of frames
The frame rate is 20 frames per second, and we need to calculate the total number of frames in two minutes.

\[
\text{Total frames} = \text{Frame rate} \times \text{Duration in seconds}
\]
\[
= 20 \, \text{frames/second} \times 2 \, \text{minutes} \times 60 \, \text{seconds/minute}
\]
\[
= 20 \times 120 = 2400 \, \text{frames}
\]

### Step 2: Calculate the size of each frame
Each frame has a resolution of 1024x768 pixels, and the color depth is true-color, which is 24 bits (or 3 bytes) per pixel.

\[
\text{Size of one frame} = 1024 \, \text{pixels} \times 768 \, \text{pixels} \times 3 \, \text{bytes/pixel}
\]
\[
= 1024 \times 768 \times 3 = 2,359,296 \, \text{bytes} \approx 2.36 \, \text{MB}
\]

### Step 3: Calculate the total storage required
Now, multiply the size of one frame by the total number of frames to get the total storage space needed.

\[
\text{Total storage} = 2,359,296 \, \text{bytes/frame} \times 2400 \, \text{frames}
\]
\[
= 5,662,310,400 \, \text{bytes} \approx 5.66 \, \text{GB}
\]

### Final Answer:
The total storage space needed to hold two minutes of video at 1024x768 resolution, 20 frames per second, and true-color (24-bit) images is approximately **5.66 GB**.

Would you like more details or have any questions?

Here are 5 follow-up questions to deepen your understanding:
1. How would the required storage change if the frame rate were increased to 30 frames per second?
2. What if the color depth were reduced to 16 bits per pixel?
3. How would compression techniques affect the storage requirements?
4. How does video resolution impact storage requirements compared to frame rate?
5. Can you calculate the storage required for a one-hour video at the same specifications?

**Tip**: Compression codecs like H.264 or H.265 can drastically reduce video storage requirements without significant quality loss.

Learn how to calculate the required storage space for a 2-minute video with 1024x768 resolution, 20 frames per second, and true-color images (24-bit). Explore the key steps, formulas, and final result of approximately 5.66 GB. Ideal for Grades 10-12.

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