Volume of a Cuboid
Part of the Surface Area & Volume section of Coddy's Geometry journey. Lesson 7 of 62.
The volume of a solid is how much space it fills, counted in unit cubes: cubes 1 unit long on every edge. A length in cm gives a volume in cubic centimetres, written cm³.
Fill this box with unit cubes. The bottom layer is 4 cubes long and 3 deep, so it holds 4 × 3 = 12 cubes. The box is 2 high, so it holds two layers: 12 × 2 = 24 cubes. Its volume is 24.
That counting is the rule Volume of a cuboid: V = l × w × h, length times width times height. On the board, tap the solid itself and pick the rule. The board checks that the rule fits this solid and writes the volume in.
Challenge
Find the volume of the box: tap the solid, pick the rule that gives its volume, then press Check.
Try it yourself
Find the marked part of the figure
Test yourselfThis lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Surface Area & Volume
1Solids and Their Parts
Faces, Edges and VerticesPrisms and CylindersPyramids and ConesHeight or Slant Height?Spheres and HemispheresRecap: Parts of Solids4Pyramids
Volume of a PyramidThe Slant HeightHeight From the SlantHeight From the VolumeRecap: Pyramids2Volume of Prisms
Volume of a CuboidVolume of a PrismAny Triangle EndA Missing EdgeRecap: Prism Volume3Cylinders
Volume of a CylinderHeight From the VolumeRadius From the VolumeEnough to Find It?Recap: Cylinders6Spheres and Hemispheres
Volume of a SphereHalf a SphereRadius From the VolumeSphere in a CylinderRecap: Spheres9Pyramids and Cones Outside
Surface of a PyramidSlant Height FirstSurface of a ConeThe Cone: Slant FirstRecap: Pyramid Surfaces