Answer:
![360\ cm^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/dgm3nouie6a01atseri20i9nvr0stnpuej.png)
Explanation:
Step 1: Determine the area of the bottom rectangle
![A = l * w](https://img.qammunity.org/2023/formulas/mathematics/high-school/kge4p5f5a0j1scqztwkr9jwi1fbopggw0d.png)
![A = 10\ cm * 12\ cm](https://img.qammunity.org/2023/formulas/mathematics/high-school/plbk8fid9p6mmxa1qzvfmq3dxcfy8kw5w4.png)
![A = 120\ cm^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/u3ynhjz1gzctfnrjxs5rorkxcz86gi2ps3.png)
Step 2: Determine the area of the back rectangle
![A = l * w](https://img.qammunity.org/2023/formulas/mathematics/high-school/kge4p5f5a0j1scqztwkr9jwi1fbopggw0d.png)
![A = 10\ cm * 5\ cm](https://img.qammunity.org/2023/formulas/mathematics/high-school/ugmqbvx05q139txjag9riui90u5s7pd2eh.png)
![A = 50\ cm^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/goemlpqalpbgv44isfp7z8rwj0f4qa8qe3.png)
Step 3: Determine the area of the top rectangle
![A = l * w](https://img.qammunity.org/2023/formulas/mathematics/high-school/kge4p5f5a0j1scqztwkr9jwi1fbopggw0d.png)
![A = 10\ cm * 13\ cm](https://img.qammunity.org/2023/formulas/mathematics/high-school/x82kyvvg9zr5vdt55wh3lbht425kei8ee1.png)
![A = 130\ cm^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/zjkdwd0xmideesxy6f69rhhdxj3806n8je.png)
Step 4: Determine the area of the triangle
![A = (h*b)/(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/om8q5duwabpl1mxab611ulhg1pwjnzj2nt.png)
![A = (5\ cm * 12\ cm)/(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/qgfshpvhgh1e9kgf40886k80k57pnve3vs.png)
![A = (60\ cm^2)/(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/37qgena6dzcplfdbxdh4rmnauv6tgce6eb.png)
![A = 30\ cm^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/y4487yhzpfhxzl5t9wbnjxi3gcm5lldas1.png)
Step 5: Determine the surface area
![120\ cm^2 + 50\ cm^2 + 130\ cm^2 + 2(30\ cm^2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/n1ql7w0sn24if2ihigfjb74ejg8epreado.png)
![360\ cm^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/dgm3nouie6a01atseri20i9nvr0stnpuej.png)
Answer:
![360\ cm^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/dgm3nouie6a01atseri20i9nvr0stnpuej.png)