To calculate the surface area of a right rectangular prism, you need to find the area of all six faces and then add them together.
A right rectangular prism has three pairs of congruent rectangular faces. Each pair has the same area. Thus, we can calculate the surface area by multiplying the area of one face by two and then adding the areas of the remaining four faces.
Given that each edge length is 15 ft, the rectangular face has dimensions of length = 15 ft, width = 15 ft.
The area of one face is calculated as length multiplied by width:
Area = 15 ft * 15 ft = 225 square feet.
Since we have two pairs of the same face, multiply the area of one face by 2:
2 * 225 square feet = 450 square feet.
Now, we need to find the areas of the remaining four faces. These faces are also rectangular, but their dimensions differ from the initial face.
Each of the remaining pair of faces has dimensions:
- length = 15 ft
- width = 15 ft
Calculating the area of one face:
Area = 15 ft * 15 ft = 225 square feet.
Since we have two pairs of the same face, multiply the area of one face by 2:
2 * 225 square feet = 450 square feet.
Finally, add the areas of all six faces:
450 square feet + 450 square feet + 225 square feet + 225 square feet + 225 square feet + 225 square feet = 1800 square feet.
Therefore, the surface area of the right rectangular prism with each edge length being 15 ft is 1800 square feet.
calculate the surface area of a right rectangular prism. each edge lenght is 15 ft.
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