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