Mathematics 4024 · O Level · Non-right-angled triangles
Non-right-angled triangles — practice question
The diagram depicts a triangular prism, with $AC = 15\text{ cm}$, $BC = 14\text{ cm}$, and $\angle ACB = 27^\circ$.
(a)[3]
Calculate $AB$
(b)[3]
The prism has length $p\text{ cm}$, and its volume is $1000\text{ cm}^3$. Calculate $p$
(c)[2]
The prism is to be placed inside a carton. The carton is a cuboid with dimensions $15\text{ cm}$ by $p\text{ cm}$ by $h\text{ cm}$. Calculate the smallest possible value of $h$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$15^2+14^2-2(14)(15)\cos27$” …