15.5 Volume of cubes and cuboids · Unit 15 Shapes, area and volume

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2 · Key words

volumeThe amount of space a solid takes up.

cuboidA box shape with six rectangular faces.

cubeA cuboid with all edges equal.

cubic centimetreThe volume of a cube 1 cm by 1 cm by 1 cm.

capacityHow much a container holds.

litre1000 cubic centimetres.

3 · Summary of the sectionrevise from this

Volume of a cuboid = l × w × h.
It is also base area × height — one layer, stacked h times.
Volume of a cube = s × s × s = s³.
Volume is measured in cubic units, because three lengths are multiplied.
1 litre = 1000 cm³, a cube 10 cm on each edge.
1 m³ = 1 000 000 cm³ — the length factor is cubed.
For a compound solid, split it into cuboids and add the volumes; for a hole, subtract.
To find a missing dimension, divide the volume by the other two.
Doubling every edge multiplies the volume by 8, not by 2.

PDFPrintable worksheet All 63 questions, space to work PDFWorked answers Full solutions, not just the answer

Video lessons2 videos

Math Antics - Volume

American mathantics

What volume means, and why it is counted in cubes.

Volume of a cuboid and cube

British corbettmaths

The formula applied to examination-style questions.

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Volume of cubes and cuboids