A garden gazebo has a roof in the shape of a square-based pyramid PABCDPABCDPABCD. The base ABCD ABCD\,ABCD is a square.
AB=12 mAB = 12 \text{ m}AB=12 m
Angle PAC=48∘PAC = 48^\circPAC=48∘

Calculate the volume of the space under the roof.
Practise OCR GCSE Maths 3d Pythagoras and Trigonometry with exam-style questions for Foundation and Higher tier. 28 questions, matched to the OCR GCSE Maths (J560) specification and written in the written papers style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.