Question

The shape is a Rectangular Prism.



Find the here are the measurements 2cm 5cm 4cm

Answer 1

OK now find the lateral surface area

Answer 2

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**: \( 76 \, \text{cm}^2 \)