Mathematics 0580 · IGCSE · Surface area and volume

Surface area and volume — practice question

The diagram illustrates two sweets. The cuboid measures 1.5 cm in length, 1.1 cm in width and 0.8 cm in height. The cylinder has height 0.8 cm and the same volume as the cuboid.
(a(i))[2]

Calculate the volume of the cuboid.

(a(ii))[2]

Calculate the radius of the cylinder.

(a(iii))[5]

Calculate the difference between the surface areas of the two sweets.

(b(i))[2]

Write down the remaining two inequalities.

(b(ii))[4]

On the grid, shade the unwanted regions to show the area that satisfies all three inequalities.

(b(iii))[3]

Find the lowest cost of a bag of sweets. Write down the values of $x$ and $y$ that produce this cost.

Worked solution & mark scheme

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