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 is calculated by finding the area of each face and then adding them all together.
The formula for the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Given:
Length = 2 feet
Width = 3 feet
Height = 4 feet
Plugging in the values:
Surface Area = 2(2)(3) + 2(2)(4) + 2(3)(4)
Surface Area = 12 + 16 + 24
Surface Area = 52 square feet
To visualize this, we can draw a net of the rectangular prism. A net is a two-dimensional representation of a three-dimensional object that shows all the faces of the object laid out flat. Here is the net for the rectangular prism:
```
______
/ / \
|____|____|
\ \ /
|____|
```
Each number represents the corresponding face of the rectangular prism: 1 and 2 for the length, 3 and 4 for the width, and 5 and 6 for the height.
By calculating the area of each face and adding them all together, we get the surface area of the rectangular prism.