Answer:
total surface area = 936 in²
Step-by-step explanation:
total surface area = surface area of the pyramid + surface area of the cube
1. surface area of the pyramid = 4 * area of lateral triangle side
area of lateral triangle side = 12 * 9 /
area of lateral triangle side = 54 in²
2. surface area of the pyramid = 4 * 54
surface area of the pyramid = 216 in²
3. surface area of the cube = 5 * (12 x 12)
-surface area of the cube = 720 in²
therefore, the total surface area = 216 in² + 720 in²
total surface area = 936 in²
![r=\sqrt[3]{\frac{3V}{4\pi}}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%7D)
![r=\sqrt[3]{\frac{3(36\pi)}{4\pi}}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3%2836%5Cpi%29%7D%7B4%5Cpi%7D%7D)
![r=\sqrt[3]{27}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B27%7D)
