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.
To find the surface area of a rectangular prism, we need to find the area of each of the six faces and then add them together.
The net of the rectangular prism would look like this:
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/____________/ \
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|___________|_________ |
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The net shows the six faces of the rectangular prism: two "2x3" faces, two "2x4" faces, and two "3x4" faces.
Now, let's find the area of each face and add them together:
Area of the "2x3" faces:
2 feet * 3 feet = 6 square feet (each face)
Total area = 6 square feet * 2 faces = 12 square feet
Area of the "2x4" faces:
2 feet * 4 feet = 8 square feet (each face)
Total area = 8 square feet * 2 faces = 16 square feet
Area of the "3x4" faces:
3 feet * 4 feet = 12 square feet (each face)
Total area = 12 square feet * 2 faces = 24 square feet
Now, add the total area of all the faces:
12 square feet + 16 square feet + 24 square feet = 52 square feet
Therefore, the surface area of the rectangular prism is 52 square feet.