What is the surface area of a right rectangular prism where each edge length measures 15.10 cm?
The surface area of a right rectangular prism can be found by calculating the sum of the areas of its six faces.
Each face is a rectangle, so the area of each face is given by the formula length × width.
In this case, each edge length measures 15.10 cm, so the length and width of each face are both 15.10 cm.
Therefore, the surface area of the right rectangular prism is:
2 × length × width + 2 × width × height + 2 × height × length
= 2 × 15.10 cm × 15.10 cm + 2 × 15.10 cm × 15.10 cm + 2 × 15.10 cm × 15.10 cm
= 2 × 227.01 cm² + 2 × 227.01 cm² + 2 × 227.01 cm²
= 2 × 227.01 cm² + 2 × 454.02 cm²
= 454.02 cm² + 908.04 cm²
= 1,362.06 cm²
Therefore, the surface area of the right rectangular prism is 1,362.06 cm².