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Materials Around Us – Formula & Equation Sheet
Essential formulas and equations from Curiosity, tailored for Class 6 in Science.
This one-pager compiles key formulas and equations from the Materials Around Us chapter of Curiosity. Ideal for exam prep, quick reference, and solving time-bound numerical problems accurately.
Key concepts & formulas
Essential formulas, key terms, and important concepts for quick reference and revision.
Formulas
Density (D) = Mass (M) / Volume (V)
D represents density (kg/m³), M is mass (kg), and V is volume (m³). This formula helps determine how much mass is contained in a given volume, applicable in material identification.
Volume of a Cube (V) = Side³
V is volume (cm³) and Side is the length of one side (cm). This formula calculates the space occupied by a cubic object, useful for cubes made from various materials.
Volume of a Rectangular Prism (V) = Length × Width × Height
V is volume (cm³), Length, Width, and Height are dimensions in cm. It helps in finding the space occupied by rectangular shapes, often seen in everyday items.
Mass (M) = Density (D) × Volume (V)
M is mass (kg), D is density (kg/m³), and V is volume (m³). By knowing density and volume, one can calculate the mass of a material.
Weight (W) = Mass (M) × Gravitational Acceleration (g)
W is weight (N), M is mass (kg), and g is gravitational acceleration (≈ 9.81 m/s² on Earth). This formula helps relate mass to weight, which is important when lifting objects.
Pressure (P) = Force (F) / Area (A)
P is pressure (Pascals), F is force (Newtons), and A is area (m²). This illustrates how the distribution of force affects the pressure applied on materials.
Concentration (C) = Amount of Solute / Volume of Solution
C is concentration (g/L), the amount of solute is in grams, and volume of solution is in liters. It shows how much solute is present in a solvent, useful in mixtures.
Specific Heat Capacity (c) = Q / (m × ΔT)
c is specific heat capacity (J/kg°C), Q is the heat energy (J), m is mass (kg), and ΔT is the change in temperature (°C). It helps understand how materials absorb heat.
Thermal Expansion (ΔL) = α × L₀ × ΔT
ΔL is change in length, α is the coefficient of linear expansion, L₀ is the original length, and ΔT is temperature change. It explains how materials expand with heat.
Ohm’s Law: V = I × R
V is voltage (V), I is current (A), and R is resistance (Ω). This law relates electricity to materials, important for understanding electrical properties.
Equations
Matter: Anything that has mass and occupies space.
This definition highlights two fundamental properties of matter that differentiate it from non-material entities.
State of Matter: Solid, Liquid, Gas.
States define how materials can be categorized based on their shape and volume, affecting their physical properties.
Lustrous Materials: Metals like iron, copper, and gold.
Identifying materials with shiny surfaces helps classify materials based on appearance, essential for practical applications.
Non-Lustrous Materials: Paper, wood, rubber, etc.
This categorization of materials without shine shows the diversity in material properties, important in material science.
Natural vs Synthetic: Natural materials are naturally occurring; synthetic materials are man-made.
Understanding the difference aids in grouping materials based on origin, relevant in studies of resource sustainability.
Hardness Scale: Mohs Scale 1 (Talc) to 10 (Diamond).
This scale is used to compare the hardness of different materials, crucial in industries and everyday applications.
Buoyancy Principle: An object will float if it displaces a volume of fluid equal to its weight.
This principle helps understand why some materials sink while others float, particularly in the context of liquids.
Electrical Conductivity: Substances classified as conductors, insulators, and semi-conductors.
Understanding conductivity is essential for applications in electronics and electrical engineering.
Thermal Conductivity: Materials classified based on their ability to conduct heat.
This characteristic of materials determines their applications in insulation, cookware, and construction.
Elasticity: Ability of materials to return to their original shape after deformation.
This property is vital in applications where flexibility and durability are required, such as in construction and manufacturing.
