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

Pythagoras' theorem and trigonometry in 3D — practice question

ABCDEFGH is a cuboid with AB = 8 cm, BC = 5 cm and CG = 11 cm.
(a)[2]

Work out the volume of the cuboid.

(b)[4]

Can this pencil fit entirely within the cuboid? Explain how you know.

(c(i))[2]

Calculate angle $CAB$.

(c(ii))[2]

Calculate angle $GAC$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Volume: $440$” …

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