Area, Perimeter, and Volume
"Step into three dimensions with cube and cuboid volumes."
A Today you'll learn
- Calculate the perimeter and area of squares, rectangles, and combined figures.
- Understand volume as the space occupied by a three-dimensional object measured in cubic units.
- Apply formulas for volume of a cube and cuboid to practical scenarios.
B Let's understand
Perimeter is the total boundary distance around a 2D closed figure, measured in linear units (cm, m). Area is the 2D surface enclosed within the boundary, measured in square units (cm², m²). For a rectangle, Perimeter = 2 × (Length + Breadth) and Area = Length × Breadth. Volume is the measure of 3-dimensional space occupied by a solid object, measured in cubic units (cm³, m³). For a cuboid (box shape), Volume = Length × Breadth × Height. For a cube where all edges are equal (s), Volume = s × s × s.
C See it step by step
- Step 1: Perimeter = 2 × (Length + Breadth) = 2 × (15 + 8) = 2 × 23 = 46 metres.
- Step 2: Area = Length × Breadth = 15 × 8 = 120 square metres (m²).
- Step 1: Use formula: Volume = Length × Breadth × Height.
- Step 2: Volume = 10 cm × 6 cm × 4 cm.
- Step 3: 10 × 6 = 60; 60 × 4 = 240 cubic centimetres (cm³).
D Your turn
E Ready to practise?
Key idea 1
Perimeter is 1-dimensional boundary length; Area is 2-dimensional surface size.
Key idea 2
Volume is 3-dimensional internal space; measured in cubic units (cm³ or m³).
Key idea 3
Volume of a cuboid = Length × Breadth × Height.
Key idea 4
Volume of a cube with edge s = s³ = s × s × s.
1 litre equals 1
1 litre equals 1,000 cubic centimetres (cm³) of liquid volume.