A cubic storage unit is designed such that its side length, x x\,x meters, is an integer. An engineer claims that if the volume of the unit, V=x3V = x^3V=x3, is a multiple of 3, then the side length x x\,x must be a multiple of 3. Use proof by contradiction to prove that the engineer's claim is correct.
Practise Edexcel A Level Maths 1.1 Proof by Contradiction with exam-style questions for A Level Maths. 100 questions, matched to the Edexcel A Level Maths (9MA0) 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.