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

• 1, 350 ст?
8, 208.36 cm₴
1, 368.06 cm₴
900 cm-

1 answer

To find the surface area of a right rectangular prism (also known as a rectangular box), you can use the formula:

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

where \(l\), \(w\), and \(h\) are the lengths of the edges. For a cube, where all edges are equal, this simplifies to:

\[ \text{Surface Area} = 6a^2 \]

where \(a\) is the length of each edge.

Given that each edge length measures 15.10 cm:

\[ \text{Surface Area} = 6(15.10)^2 \]

Calculating \(15.10^2\):

\[ 15.10^2 = 228.01 \]

Now, multiply by 6:

\[ \text{Surface Area} = 6 \times 228.01 = 1368.06 , \text{cm}^2 \]

Therefore, the surface area of the right rectangular prism is \(1368.06 , \text{cm}^2\).

So the correct answer is: 1, 368.06 cm².