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

Pythagoras' theorem and trigonometry in 3D — practice question

ABCDEFGH is a solid cuboid. $AB = 10\text{ cm}$, $BC = 8\text{ cm}$ and $CG = 17\text{ cm}$. The diagram is not drawn to scale.
(a)[1]

Work out the cuboid’s volume.

(b)[3]

Work out the cuboid’s total surface area.

(c)[4]

Calculate the angle made by $GA$ with the base $ABCD$.

(d)[4]

Calculate the length of the rod $PQ$.

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