To calculate the surface area of a cuboid:
\[ SA = 2lw + 2lh + 2wh \]
Where:
The surface area of a cuboid is the total area of all its six rectangular faces. A cuboid, also known as a rectangular prism, is a three-dimensional geometric figure with six faces, all of which are rectangles. The surface area is calculated by adding the areas of all these faces. The formula to calculate the surface area of a cuboid is \(2lw + 2lh + 2wh\), where \(l\) is the length, \(w\) is the width, and \(h\) is the height of the cuboid. This formula essentially calculates the area of three pairs of identical rectangles and adds them together. The unit of measurement for surface area is typically square units, such as square centimeters or square inches.
Let's assume the following dimensions:
Using the formula:
\[ SA = 2(5 \times 3 + 5 \times 4 + 3 \times 4) = 2(15 + 20 + 12) = 2 \times 47 = 94 \text{ square units} \]
The surface area of the cuboid is 94 square units.
Let's assume the following dimensions:
Using the formula:
\[ SA = 2(2 \times 3 + 2 \times 6 + 3 \times 6) = 2(6 + 12 + 18) = 2 \times 36 = 72 \text{ square units} \]
The surface area of the cuboid is 72 square units.