Summary: Solving Problems Using Volume and Surface Area

Key Concepts

  • Volume and Surface Area of a Rectangular Solid
    • V=LWHV=LWH
    • S=2LH+2LW+2WHS=2LH+2LW+2WH
  • Volume and Surface Area of a Cube
    • V=s3V=s3
    • S=6s2S=6s2
  • Volume and Surface Area of a Sphere
    • V=43πr3V=43πr3
    • S=4πr2S=4πr2
  • Volume and Surface Area of a Cylinder
    • V=πr2hV=πr2h
    • S=2πr2+2πrhS=2πr2+2πrh
  • Volume of a Cone
    • For a cone with radius rr and height hh :Volume: V=13πr2hV=13πr2h

Glossary

cone
A cone is a solid figure with one circular base and a vertex.
cube
A cube is a rectangular solid whose length, width, and height are equal.
cylinder
A cylinder is a solid figure with two parallel circles of the same size at the top and bottom.