Sure! Let's calculate the surface area of a cuboid with the given dimensions.
A cuboid has six rectangular faces, and the surface area is the sum of the areas of all these faces. The formula to calculate the surface area of a cuboid is:
[tex]\[ \text{Surface area} = 2 \times (\text{length} \times \text{width} + \text{width} \times \text{height} + \text{height} \times \text{length}) \][/tex]
Given:
- Length ([tex]\( l \)[/tex]) = [tex]\( 5 \)[/tex] cm
- Width ([tex]\( w \)[/tex]) = [tex]\( 3 \)[/tex] cm
- Height ([tex]\( h \)[/tex]) = [tex]\( 4 \)[/tex] cm
Now, substitute these values into the formula:
[tex]\[ \text{Surface area} = 2 \times (5 \times 3 + 3 \times 4 + 4 \times 5) \][/tex]
Simplify inside the parentheses first:
[tex]\[ 5 \times 3 = 15 \][/tex]
[tex]\[ 3 \times 4 = 12 \][/tex]
[tex]\[ 4 \times 5 = 20 \][/tex]
Now, add these results:
[tex]\[ 15 + 12 + 20 = 47 \][/tex]
Finally, multiply by 2 to find the total surface area:
[tex]\[ \text{Surface area} = 2 \times 47 = 94 \][/tex]
Therefore, the surface area of the cuboid is [tex]\( 94 \)[/tex] square centimeters.
