What would the surface area be for a rectangular prism that has a height of 12 ft, a length of 12 ft, and a width of 2 ft? Thanks.
Remember that it will have six sides.
2(12*2) + 4(12*12) = ?
To find the surface area of a rectangular prism, you need to calculate the sum of the areas of all six faces.
A rectangular prism has three pairs of equal faces. In this case, the pairs are:
1) The top and bottom faces (length x width)
2) The front and back faces (length x height)
3) The side faces (width x height)
Let's calculate the surface area step by step:
1) Calculate the area of the top and bottom faces: the width and length of the prism are both 12 ft, so the area of each face is 12 ft x 12 ft = 144 ft².
2) Calculate the area of the front and back faces: the length of the prism is 12 ft, and the height is 12 ft, so the area of each face is 12 ft x 12 ft = 144 ft².
3) Calculate the area of the side faces: the width of the prism is 2 ft, and the height is 12 ft, so the area of each face is 2 ft x 12 ft = 24 ft².
Now, add up all of the face areas to find the total surface area:
144 ft² + 144 ft² + 24 ft² + 24 ft² + 144 ft² + 144 ft² = 624 ft².
Therefore, the surface area of the rectangular prism is 624 square feet.