What is the surface area of a right rectangular prism where each edge length measures 15.10 cm?(1 point)
Responses
900 cm2
900 cm squared
8,208.36 cm2
8,208.36 cm squared
1,368.06 cm2
1,368.06 cm squared
1,350 cm2
To find the surface area of a right rectangular prism, we need to calculate the area of each of the six faces and then add them together.
Each face of the prism is a rectangle, and the dimensions are the same for each face since all edge lengths measure 15.10 cm. The formula for the area of a rectangle is length multiplied by width.
The length of each face is 15.10 cm, and the width is the other dimension of the face. Since there are three pairs of edges, the width can be either of the remaining two dimensions.
Therefore, the surface area of the prism is:
2 * (15.10 cm * 15.10 cm) + 2 * (15.10 cm * 15.10 cm) + 2 * (15.10 cm * 15.10 cm)
This simplifies to:
2 * (228.01 cm^2) + 2 * (228.01 cm^2) + 2 * (228.01 cm^2)
Which further simplifies to:
2 * 456.02 cm^2 + 2 * 456.02 cm^2 + 2 * 456.02 cm^2
Finally, adding all the terms together:
912.04 cm^2 + 912.04 cm^2 + 912.04 cm^2
This gives us the total surface area of:
<<912.04+912.04+912.04=2736.12>>2736.12 cm^2
Therefore, the correct answer is 2,736.12 cm², which is closest to the option 8,208.36 cm².