Question

find the surface area:

Explanation:

Step1: Identify the shapes

The figure seems to be composed of a parallelogram and a triangle.

Step2: Calculate the area of the parallelogram

The formula for the area of a parallelogram is $A = base\times height$. Here, the base is $10$ cm and assume the height corresponding to this base is $5$ cm. So $A_{parallelogram}=10\times5 = 50$ $cm^{2}$.

Step3: Calculate the area of the triangle

The formula for the area of a triangle is $A=\frac{1}{2}\times base\times height$. The base of the triangle is $8$ cm and the height is $3$ cm. So $A_{triangle}=\frac{1}{2}\times8\times3=12$ $cm^{2}$.

Step4: Calculate the total surface - area

The total surface area $A = A_{parallelogram}+A_{triangle}$. So $A = 50 + 12=62$ $cm^{2}$.

Answer:

$62$ $cm^{2}$