A crystal paperweight is in the shape of a square-based pyramid PABCDPABCDPABCD. The base ABCD ABCD\,ABCD is a square.
AB=10 cmAB = 10 \text{ cm}AB=10 cm
Angle PAC=55∘PAC = 55^\circPAC=55∘

Calculate the volume of the paperweight.
Practise AQA GCSE Maths 3d Pythagoras and Trigonometry with exam-style questions for Foundation and Higher tier. 28 questions, matched to the AQA GCSE Maths (8300) specification and written in Paper 1, Paper 2 and Paper 3 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.