Question

whats the surface area of a rectangular prism whose length is 18 mm, height is 10 mm, and width is 2 mm.

Answer 1

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

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

where:
- \( l \) = length
- \( w \) = width
- \( h \) = height

Given:
- Length \( l = 18 \) mm
- Width \( w = 2 \) mm
- Height \( h = 10 \) mm

Now, plug these values into the formula:

1. Calculate each area:
- \( lw = 18 \times 2 = 36 \) mm²
- \( lh = 18 \times 10 = 180 \) mm²
- \( wh = 2 \times 10 = 20 \) mm²

2. Now sum these areas:
\[
lw + lh + wh = 36 + 180 + 20 = 236 \text{ mm}^2
\]

3. Finally, multiply by 2 to find the total surface area:
\[
\text{Surface Area} = 2 \times 236 = 472 \text{ mm}^2
\]

Thus, the surface area of the rectangular prism is **472 mm²**.