Mathematics 0580 · IGCSE · Surface area and volume

Surface area and volume — practice question

The figure depicts a pyramid with square base $BCDE$. The diagonals $CE$ and $BD$ meet at $M$, and vertex $F$ is vertically above $M$. $BE = 12$ cm and $FM = 9$ cm.
(a(i))[2]

Calculate the pyramid's volume.

(a(ii))[5]

Calculate the pyramid's total surface area.

(b)[4]

Calculate $r$.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applies $12 \times 12 \times 9 \div 3$” …

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI