Mathematics 0580 · IGCSE · Surface area and volume

Surface area and volume — practice question

(a)[3]

Write the perimeter of the shaded shape $ABDC$ in the form $(a\pi + b)\,\text{cm}$. Determine the value of $a$ and the value of $b$.

(b(i))[4]

Show that one side of the hexagon is $7.0\,\text{cm}$, correct to 1 decimal place.

(b(ii)(a))[1]

Calculate the volume of the prism.

(b(ii)(b))[2]

Calculate the surface area of the prism.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: Hence $a=9$.

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