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 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.