A rectangular prism has 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.(1 point)
square feet.
The surface area of a rectangular prism can be found by adding up the areas of all six faces.
Let's label the sides of the rectangular prism:
- Top and bottom faces have dimensions 2 ft x 3 ft
- Front and back faces have dimensions 2 ft x 4 ft
- Left and right faces have dimensions 3 ft x 4 ft
Calculating the areas of each face:
Top and bottom faces: 2 ft x 3 ft = 6 sq ft (each)
Front and back faces: 2 ft x 4 ft = 8 sq ft (each)
Left and right faces: 3 ft x 4 ft = 12 sq ft (each)
Adding up all the areas:
6 sq ft + 6 sq ft + 8 sq ft + 8 sq ft + 12 sq ft + 12 sq ft = 52 sq ft
Therefore, the surface area of the rectangular prism is 52 square feet.
To visually understand how the surface area is calculated, below is a net (unwrapped shape) of the rectangular prism:
```
+--------+
/ /|
/ / |
/ / |
+--------+ |
| | |
| | /
| | /
+--------+
```