What is the surface area of a right rectangular prism where rach edge length measures 15.10 cm?
To find the surface area of a right rectangular prism, we need to determine the areas of all its six faces and then add them together.
Since each edge length measures 15.10 cm, the length, width, and height of the prism are all equal to 15.10 cm.
The surface area of each of the rectangular faces is given by the formula:
Area = length x width
For the rectangular faces, the length and width are 15.10 cm.
Thus, the area of each of the four rectangular faces is:
Area = 15.10 cm x 15.10 cm = 228.01 cm²
The surface area of these four rectangular faces is 4 times that value, so the combined area of the rectangular faces is:
4 x 228.01 cm² = 912.04 cm²
Now, we need to calculate the area of the top and bottom faces, which are also rectangular but have a different length and width.
For these faces, the length is 15.10 cm and the width is the height of the prism, which is also 15.10 cm.
Thus, the area of each of the top and bottom faces is:
Area = 15.10 cm x 15.10 cm = 228.01 cm²
The combined area of the top and bottom faces is 2 times that value, so the total surface area of the prism is:
912.04 cm² + 228.01 cm² + 228.01 cm² = 1368.06 cm²
Therefore, the surface area of the right rectangular prism is 1368.06 cm².