Given: A cuboid with the dimesion below:
[tex]5\operatorname{cm}by4\operatorname{cm}by5\operatorname{cm}[/tex]To Determine: The surface area of the cuboid
The formula for finding the surface area of a cuboid is given as:
[tex]A_{\text{Cuboid Surface Area}}=2(l\times w+l\times h+w\times h)[/tex]From the diagram, it can be seen that
[tex]\begin{gathered} l=\text{length}=5\operatorname{cm} \\ w=\text{width}=4\operatorname{cm} \\ h=\text{height}=5\operatorname{cm} \end{gathered}[/tex]Substitute the given into the formula as shown below:
[tex]\begin{gathered} A_{\text{Cuboid Surface Area}}=2(l\times w+l\times h+w\times h) \\ A_{\text{Cuboid Surface Area}}=2(5cm\times4cm+5cm\times5cm+4cm\times5cm) \\ A_{\text{Cuboid Surface Area}}=2(20cm^2+25cm^2+20cm^2) \\ A_{\text{Cuboid Surface Area}}=2(65\operatorname{cm}^2) \\ A_{\text{Cuboid Surface Area}}=130\operatorname{cm}^2 \end{gathered}[/tex]Hence, the surface area of the given cuboid is 130cm²