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17.8 Chapter summary

  • Surface area is the total area of the exposed or outer surfaces of an object.
  • Surface area is measured in square units.
  • A net is a flat diagram that can be cut and folded to form a three-dimensional shape.
  • Volume is the amount of the space that a three-dimensional object takes up.
  • Volume is measured in cubic units.
  • Capacity is the maximum amount that an object can hold.
  • Capacity can be expressed in millilitres (\(\text{ml}\)) and litres (\(\text{l}\)).
  • A cube is a solid with six identical square faces at right angles to each other.
  • A cube unfolded into a net is made up of six identical squares.
  • Volume of cube \(= \text{ length } \times \text{ breadth } \times \text{ height} = l^3\).
  • A rectangular prism (also called a cuboid) is a solid with six rectangular faces at right angles to each other.
  • A cuboid unfolded into a net has six rectangular faces.
  • The volume of a cuboid is calculated by multiplying the area of the base by the height of the cuboid.
  • Volume of cuboid \(= l \times b \times h\).
  • A triangular prism has two identical triangular bases and three rectangular sides joined at right angles to the bases.
  • To calculate the volume of a triangular prism, we must use the triangular face as the base of the prism.
  • Volume of triangular prism \(= \text{area of base} \times h\).