Question

Find the surface area of the rectangular prism.
8 cm,5 cm, 1 cm

Answer 1

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

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

where \( l \) is the length, \( w \) is the width, and \( h \) is the height of the prism.

For your rectangular prism with dimensions:
- Length \( l = 8 \) cm
- Width \( w = 5 \) cm
- Height \( h = 1 \) cm

Now we can calculate the surface area step by step:

1. Calculate the area of each pair of opposite faces:
- \( lw = 8 \times 5 = 40 \) cm²
- \( lh = 8 \times 1 = 8 \) cm²
- \( wh = 5 \times 1 = 5 \) cm²

2. Add these areas:
\[
lw + lh + wh = 40 + 8 + 5 = 53 \, \text{cm}^2
\]

3. Now multiply by 2 to get the total surface area:
\[
\text{Surface Area} = 2 \times 53 = 106 \, \text{cm}^2
\]

Thus, the surface area of the rectangular prism is \( \boxed{106} \) cm².