Mathematics 0580 · IGCSE · Pythagoras' theorem and trigonometry in 3D
Pythagoras' theorem and trigonometry in 3D — practice question
The sketch represents a solid triangular prism $ABCDEF$ with length 15 cm. $AB = 6.4$ cm, $EB = 5.7$ cm and the prism has volume 145 cm$^3$. The sketch is labelled NOT TO SCALE.
(a)[3]
Show that angle $EBA = 32^{\circ}$, to the nearest degree.
(b)[3]
Find the value of $EA$.
(c)[3]
Calculate the minimum distance from $E$ to $AB$.
(d)[4]
Calculate the angle that $BF$ makes with the base, $ABCD$, of the prism.
(e)[3]
Calculate the prism’s mass in grams.
Worked solution & mark scheme
This 16-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Therefore, $x=32.0^{\circ}$” …