CAIE IGCSE Mathematics Core Solid Surface Area and Volume

Practise solving surface-area and volume problems for cuboids, prisms, cylinders, spheres, pyramids and cones using consistent dimensions.

Exam points

calculate prism volume as cross-sectional area × length and cuboid volume as l × w × h
use the listed cylinder, cone, sphere or pyramid formula with the correct radius and perpendicular height
distinguish square units for surface area from cubic units for volume and state them correctly

[Maximum number: 3]

Miguel works in an office.

Miguel has a closed box of pens.

The box is in the shape of a cuboid measuring 20 cm by 12 cm by 7 cm .
Calculate the surface area of the box.
$\mathrm{cm}^{2}$

928
M2 for $2(20\times12+20\times7+12\times7)$ oe
or M1 for $20\times12$ , $20\times7$ , or $12\times7$

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C5.4.1 Carry out calculations and solve problems involving the surface area question 1