Question

what is the surface area of this cube the dimensions are 5 cm 4 cm 5cm starting from lxwxh

Answer 1

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:

$A_{\text{Cuboid Surface Area}}=2(l\times w+l\times h+w\times h)$

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:

$\begin{gathered} A_{\text{Cuboid Surface Area}}=2(l\times w+l\times h+w\times h) \\ A_{\text{Cuboid Surface Area}}=2(5cm\times4cm+5cm\times5cm+4cm\times5cm) \\ A_{\text{Cuboid Surface Area}}=2(20cm^2+25cm^2+20cm^2) \\ A_{\text{Cuboid Surface Area}}=2(65\operatorname{cm}^2) \\ A_{\text{Cuboid Surface Area}}=130\operatorname{cm}^2 \end{gathered}$

Hence, the surface area of the given cuboid is 130cm²