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 $72.81\ldots$

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