Challenge 3 - Ancient Degrees

Ancient Degrees
Level: Higher Paper

The Ancient Degrees art gallery has requested for all four walls of the pyramid roof to be resurfaced and fitted with zinc lining to prevent further moss growing and damaging the structure.

We need to send across a quote for the total approximate cost but need to first calculate the total surface area of the roof. We have been sent blueprints as seen in the picture to the right and know that the pyramid roof inclines at 60° and half its length is 10m.

Calculate the total surface area of all four of the pyramid roofs walls and round to the nearest whole number.