Question

Find the surface area of a rectangular prism whose length is 18 millimeters, height is 10 millimeters, and width is 2 millimeters.(1 point)
mm2
Incorrect

The surface area of a rectangular prism with dimensions l, w, and h is given by the formula SA=2lw+2lh+2wh or lw+lw+lh+lh+wh+wh.
Remaining Attempts : 2

Answer 1

To calculate the surface area (SA) of a rectangular prism, you can use the formula:

\[
SA = 2lw + 2lh + 2wh
\]

where:
- \( l \) is the length,
- \( w \) is the width,
- \( h \) is the height.

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

Now, substitute the values into the formula:

1. Calculate \( lw \):
\[
lw = 18 \times 2 = 36
\]

2. Calculate \( lh \):
\[
lh = 18 \times 10 = 180
\]

3. Calculate \( wh \):
\[
wh = 2 \times 10 = 20
\]

4. Now substitute these into the surface area formula:
\[
SA = 2lw + 2lh + 2wh
\]
\[
SA = 2(36) + 2(180) + 2(20)
\]
\[
SA = 72 + 360 + 40
\]
\[
SA = 472 \text{ mm}^2
\]

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