Mathematics 0580 · IGCSE · Surface area and volume
Surface area and volume — practice question
A prism is shown in the diagram. Its cross-section is a trapezium with $CD$ parallel to $AB$ and $AC = BD$. The lengths are $AB = 10\text{ cm}$, $CD = 4\text{ cm}$ and the height of the trapezium is $5\text{ cm}$. The volume of the prism is $525\text{ cm}^3$.
(a(i))[2]
Calculate the mass of the prism. Give your answer in kilograms.
(a(ii))[3]
Calculate the length of the prism.
(a(iii))[6]
Calculate the total surface area of the prism.
(a(iv))[3]
Calculate the volume of this prism.
(b)[3]
Complete the inequality for the volume, $V$, of this cuboid.
Worked solution & mark scheme
This 17-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct calculation $\dfrac{525\times7.8}{1000}$” …