Edexcel IGCSE Math A 4.10.E The volume of prisms

Practise finding volumes of cuboids, cylinders and prisms, including missing lengths, water contexts and compound diagrams.

Exam points

set up volume equations for cuboids or cylinders to find a missing height or width
use cross-sectional area × length for prisms, including triangular sections
compare container volumes in water or packing problems before finding remaining space

[Maximum number: 2]

The diagram shows a solid triangular prism ABCDEF.

Diagram NOT accurately drawn
$EF=8\text{ cm}$ , $DE=6\text{ cm}$ , $DF=10\text{ cm}$ and $BF=25\text{ cm}$ .
Angle $DEF=90^\circ$ .

Work out the volume of the prism. $\mathrm{cm}^{3}$

Volume of the prism:
$24\times25=600$

Final answer:
$600\text{ cm}^3$

M1 ft 24 from part (a) for multiplying by 25. A1 ft.

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