What is the surface area of a rectangular prism where each edge length measures 15.1 cm?

(1 point)
Responses

1,350 cm2

900 cm2

1,368.06 cm2

8,208.36 cm2

1 answer

To find the surface area of a rectangular prism, you can use the formula:

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

where \( l \), \( w \), and \( h \) are the lengths of the edges of the prism.

In this case, since each edge length measures 15.1 cm, we have \( l = w = h = 15.1 \) cm.

Now, calculating the surface area:

  1. First calculate the products:

    • \( lw = 15.1 \times 15.1 = 228.01 \)
    • \( lh = 15.1 \times 15.1 = 228.01 \)
    • \( wh = 15.1 \times 15.1 = 228.01 \)
  2. Now sum these values: \[ lw + lh + wh = 228.01 + 228.01 + 228.01 = 684.03 \]

  3. Then, multiply by 2: \[ \text{Surface Area} = 2 \times 684.03 = 1,368.06 \text{ cm}^2 \]

Therefore, the surface area of the rectangular prism is 1,368.06 cm².