Mathematics 0580 · IGCSE · Surface area and volume
Surface area and volume — practice question
The diagram depicts a cuboid with vertices $A, B, C, D, E, F, G, H$.\nIts dimensions are $AD = 60$ cm, $CD = 35$ cm and $CG = 30$ cm. The diagram is not drawn to scale.
(a)[1]
Write down the number of planes of symmetry for this cuboid.
(b(i))[3]
Work out the surface area of this cuboid.
(b(ii))[1]
Write your answer to part (b)(i), in square metres.
(c(i))[4]
Calculate the length of $AG$.
(c(ii))[3]
Calculate the angle that $AG$ makes with the base $ABCD$.
(d(i))[1]
Show that the volume of this cuboid is $63000 \text{ cm}^3$.
(d(ii))[3]
Calculate the radius of this cylinder.
Worked solution & mark scheme
This 16-mark question has a full step-by-step worked solution and mark scheme. One marking point: “3” …