Question

How many square units will I need to paint the square pyramid, to the nearest squared unit?

Answer 1

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:

`\begin{gathered} Total\text{ surface area}=8(8+√(8^2+4(4)^2)) \\ =8(8+√(64+4\cdot16)) \\ =8(8+√(64+64)) \\ =8(8+√(128)) \\ =8(8+8√(2)) \\ =64+64√(2) \\ \approx155units^2 \end{gathered}`

Finally we obtain that you will need approximately 155 square units to paint the square pyramid.