Volume or Surface Area?
Part of the Surface Area & Volume section of Coddy's Geometry journey. Lesson 33 of 62.
Volume and surface area answer different questions about the same solid. Volume is the space inside: how much water a tank holds. Surface area is the outside: how much paint it takes to cover it.
This cube has edges of 2. Its volume is 2 × 2 × 2 = 8 cubic units, and its surface area is 6 × 2^2 = 24 square units. Different units, different formulas, and you choose by the question: filling is volume, covering is surface area.
When you tap a solid, the board asks which of the two you want. Then pick the rule that matches.
Challenge
Find both the volume and the surface area of the box, 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: Pyramids7Surface Area of Prisms
Nets and Surface AreaVolume or Surface Area?A Missing Edge AgainTriangular PrismsThe Hidden Side FirstRecap: Prism Surfaces2Volume 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