Mathematics 4024 · O Level · Surface area and volume
Surface area and volume — practice question
A pyramid’s volume = $\frac{1}{3} \times$ base area $\times$ perpendicular height.
The diagrams depict a solid pyramid $L$ split into two sections, $M$ and $N$, by a plane parallel to the base. Pyramid $L$ has a rectangular base measuring $9\text{ cm}$ by $12\text{ cm}$. Its perpendicular height is $30\text{ cm}$.
(a)[1]
Calculate the volume of pyramid $L$.
(b(i))[1]
Since the perpendicular height of pyramid $M$ is $\frac{1}{3}$ of the perpendicular height of pyramid $L$, express the volume of $M$ as a fraction of the volume of $L$.
(b(ii))[2]
Calculate the volume of the solid $N$.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$1080$” …