Cuboid Area 3470B5
1. **State the problem:** Find the area of a cuboid.
2. **Formula:** The total surface area $A$ of a cuboid with length $l$, width $w$, and height $h$ is given by:
$$A = 2(lw + lh + wh)$$
3. **Explanation:** This formula calculates the sum of the areas of all six rectangular faces of the cuboid. Each pair of opposite faces has the same area.
4. **Intermediate work:** Suppose the cuboid has dimensions $l=5$, $w=3$, and $h=4$ (you can substitute your own values).
Calculate each area:
- $lw = 5 \times 3 = 15$
- $lh = 5 \times 4 = 20$
- $wh = 3 \times 4 = 12$
5. **Calculate total surface area:**
$$A = 2(15 + 20 + 12) = 2(47) = 94$$
6. **Answer:** The total surface area of the cuboid is $94$ square units.