A rectangular prism has a length of 2 feet, A width of 3 feet, And a height of 4 feet. What is the surface area of the rectangular prism? Draw a net to help you find your answer.
To find the surface area of a rectangular prism, we need to calculate the area of each face and then add them all together.
The rectangular prism has 6 faces:
1. Top face: 3 ft x 4 ft = 12 square feet
2. Bottom face: 3 ft x 4 ft = 12 square feet
3. Front face: 2 ft x 4 ft = 8 square feet
4. Back face: 2 ft x 4 ft = 8 square feet
5. Left side face: 2 ft x 3 ft = 6 square feet
6. Right side face: 2 ft x 3 ft = 6 square feet
To find the total surface area, we add up all these areas:
12 + 12 + 8 + 8 + 6 + 6 = 52 square feet
Therefore, the surface area of the rectangular prism is 52 square feet.
A net of a rectangular prism labels each face and shows how the 3D shape can be disassembled and flattened out into a 2D shape. Here is a net for the rectangular prism with a length of 2 feet, a width of 3 feet, and a height of 4 feet:
```
______
/ /|
/______/ |
| | |
| | /
|______|/
```