Mathematics 0580 · IGCSE · Pythagoras' theorem and trigonometry in 3D

Pythagoras' theorem and trigonometry in 3D — practice question

A cuboid’s length is $L$ cm, its width is $W$ cm and its height is $H$ cm. The diagram gives the net of this cuboid. The ratio $W:L = 1:2$.
(a)[5]

Find values for $L$, $W$ and $H$.

(b(i))[5]

Calculate the density of the wood. Write the units of your answer.

(b(ii))[4]

Calculate the angle between $BE$ and the base of the pyramid.

Worked solution & mark scheme

This 14-mark question has a full step-by-step worked solution and mark scheme. One marking point: $L = 11.8, W = 5.9, H = 7.1$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI