Higher November 2021 Paper 2 Q16

AQACurrent spec2 marksPythagoras

16 Here is a cube with edge length \(x\) cm

One diagonal is shown.

A cube with edge length x cm and a dashed space diagonal joining opposite corners
(a) Circle the length, in centimetres, of the diagonal. [1 mark]
  • \(\sqrt{3}\,x\)
  • \(\sqrt[3]{3x^2}\)
  • \(\sqrt{x^3}\)
  • \(\sqrt[3]{3}\,x\)
(b) The total length, in centimetres, of the edges of the cube is a multiple of 18

Circle the correct statement. [1 mark]

  • \(x\) is a whole number
  • \(x\) is not a whole number
  • \(x\) might be a whole number