What is the surface area of a right rectangular prism where each edge length measures 15.10 cm?(1 point)

Responses

1,368.06 cm2
1,368.06 cm squared

1,350 cm2
1,350 cm squared

8,208.36 cm2
8,208.36 cm squared

900 cm2
900 cm squared

1 answer

To find the surface area of a right rectangular prism (also known as a cuboid), the formula is:

\[ \text{Surface Area} = 2(lw + lh + wh) \]

where \( l \) is the length, \( w \) is the width, and \( h \) is the height. Since all edges measure the same (15.10 cm), we treat it as a cube where \( l = w = h = 15.10 \text{ cm} \).

Substituting the values into the formula gives:

\[ \text{Surface Area} = 2(15.10 \times 15.10 + 15.10 \times 15.10 + 15.10 \times 15.10) \] \[ = 2(3 \times 15.10 \times 15.10) \] \[ = 2(3 \times 228.01) \quad \text{(since } 15.10^2 = 228.01 \text{)} \] \[ = 2(684.03) \] \[ = 1368.06 \text{ cm}^2 \]

Thus, the surface area of the right rectangular prism is \( 1,368.06 , \text{cm}^2 \).

The correct response is:

1,368.06 cm²