Mathematics 0580 · IGCSE · Pythagoras' theorem and trigonometry in 3D
Pythagoras' theorem and trigonometry in 3D — practice question
The diagram represents a pyramid $OABCD$.
Its base is a square, $ABCD$, whose sides are $10.5\text{ cm}$.
The vertex $O$ lies directly above the centre of the base, $M$.
The pyramid has a height of $24\text{ cm}$.
(a)[4]
Calculate the angle made by $OA$ with the base.
(b)[5]
Calculate the volume of the frustum.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “approximately $72.8$ or $72.81\ldots$” …