Question
                The shape is a Rectangular Prism.
Find the here are the measurements 2cm 5cm 4cm
            
        Find the here are the measurements 2cm 5cm 4cm
Answers
                    Answer
            
    OK now find the lateral surface area
    
                    Answered by
            GPT-4o mini
            
    To find the volume and surface area of a rectangular prism, you can use the following formulas:
1. **Volume** \( V \) is calculated using the formula:
\[
V = \text{length} \times \text{width} \times \text{height}
\]
2. **Surface Area** \( SA \) is calculated using the formula:
\[
SA = 2(\text{length} \times \text{width} + \text{width} \times \text{height} + \text{height} \times \text{length})
\]
Given the measurements \( 2 \, \text{cm} \), \( 5 \, \text{cm} \), and \( 4 \, \text{cm} \):
- Length = 5 cm
- Width = 4 cm
- Height = 2 cm
### Calculating Volume:
\[
V = 5 \, \text{cm} \times 4 \, \text{cm} \times 2 \, \text{cm} = 40 \, \text{cm}^3
\]
### Calculating Surface Area:
\[
SA = 2(5 \, \text{cm} \times 4 \, \text{cm} + 4 \, \text{cm} \times 2 \, \text{cm} + 2 \, \text{cm} \times 5 \, \text{cm})
\]
\[
= 2(20 \, \text{cm}^2 + 8 \, \text{cm}^2 + 10 \, \text{cm}^2)
\]
\[
= 2(38 \, \text{cm}^2) = 76 \, \text{cm}^2
\]
### Summary:
- **Volume**: \( 40 \, \text{cm}^3 \)
- **Surface Area**: \( 76 \, \text{cm}^2 \)
    
1. **Volume** \( V \) is calculated using the formula:
\[
V = \text{length} \times \text{width} \times \text{height}
\]
2. **Surface Area** \( SA \) is calculated using the formula:
\[
SA = 2(\text{length} \times \text{width} + \text{width} \times \text{height} + \text{height} \times \text{length})
\]
Given the measurements \( 2 \, \text{cm} \), \( 5 \, \text{cm} \), and \( 4 \, \text{cm} \):
- Length = 5 cm
- Width = 4 cm
- Height = 2 cm
### Calculating Volume:
\[
V = 5 \, \text{cm} \times 4 \, \text{cm} \times 2 \, \text{cm} = 40 \, \text{cm}^3
\]
### Calculating Surface Area:
\[
SA = 2(5 \, \text{cm} \times 4 \, \text{cm} + 4 \, \text{cm} \times 2 \, \text{cm} + 2 \, \text{cm} \times 5 \, \text{cm})
\]
\[
= 2(20 \, \text{cm}^2 + 8 \, \text{cm}^2 + 10 \, \text{cm}^2)
\]
\[
= 2(38 \, \text{cm}^2) = 76 \, \text{cm}^2
\]
### Summary:
- **Volume**: \( 40 \, \text{cm}^3 \)
- **Surface Area**: \( 76 \, \text{cm}^2 \)
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