Mathematics 0580 · IGCSE · Surface area and volume

Surface area and volume — practice question

(a(i))[1]

Show that $AD$ has length $5x + 8$.

(a(ii))[4]

Work out the value of $x$ from this.

(a(iii))[1]

Find the overall shaded area.

(b(i))[1]

Show that at most 24 of these cuboids will fit inside the box.

(b(ii))[4]

Calculate the volume of the empty space in the box. Include the units in your answer.

(c)[2]

Calculate the size of $x$ from this information.

Worked solution & mark scheme

This 13-mark question has a full step-by-step worked solution and mark scheme. One marking point: $x + 4 + \frac{x}{2} + 2x + \frac{x}{2} + x + 4$

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