Okay, here we have this:
Considering the provided figure and infomation, we are going to calculate the requested surface area, so we obtain the following:
So to calculate the requested area we are going to substitute in the following formula:
Total Surface Area= a(a + √(a^2 + 4h^2))
Replacing:
[tex]\begin{gathered} Total\text{ surface area}=8(8+\sqrt{8^2+4(4)^2}) \\ =8(8+\sqrt{64+4\cdot16}) \\ =8(8+\sqrt{64+64}) \\ =8(8+\sqrt{128}) \\ =8(8+8\sqrt{2}) \\ =64+64\sqrt{2} \\ \approx155units^2 \end{gathered}[/tex]
Finally we obtain that you will need approximately 155 square units to paint the square pyramid.
