Question

Prism cube, length 19, width 14, height 8

Answers

GPT-4o mini
To clarify your request, it seems you're asking about the properties related to a prism (specifically a rectangular prism or cuboid) with the dimensions you've provided: length = 19, width = 14, and height = 8. Here are some key calculations you might find useful:

### Volume
The volume \( V \) of a rectangular prism is calculated using the formula:
\[
V = \text{length} \times \text{width} \times \text{height}
\]

Plugging in the values:
\[
V = 19 \times 14 \times 8 = 2112 \text{ cubic units}
\]

### Surface Area
The surface area \( A \) of a rectangular prism is calculated using the formula:
\[
A = 2 \times (\text{length} \times \text{width} + \text{length} \times \text{height} + \text{width} \times \text{height})
\]

Plugging in the values:
\[
A = 2 \times (19 \times 14 + 19 \times 8 + 14 \times 8)
\]
Calculating each term:
- \( 19 \times 14 = 266 \)
- \( 19 \times 8 = 152 \)
- \( 14 \times 8 = 112 \)

Now, sum these values:
\[
266 + 152 + 112 = 530
\]

Finally, multiply by 2 for the surface area:
\[
A = 2 \times 530 = 1060 \text{ square units}
\]

### Summary
- **Volume**: 2112 cubic units
- **Surface Area**: 1060 square units

If you have any other specific questions or need further calculations, feel free to ask!

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