4.2 Mensuration and Calculation

• What is the volume formula for a cube?

  Side³
• What is the surface area formula for a rectangular prism?

  2 × (LW + LH + WH)
• To convert meters to kilometers, you multiply by 0.001, as 1 meter equals 0.001 km
• The volume of a cube with side length 4cm is 64 cm³


  True
• The formulas for area and perimeter of 2D shapes require knowledge of their dimensions


  True
• What type of figures does mensuration primarily measure?

  Geometric figures
• In which fields is understanding 3D shape measurements crucial?

  Engineering, architecture, science
• The surface area formula for a sphere is 4 × π × Radius ²
• Measurement conversion uses conversion factors
• 1 cm equals 0.01 meters


  True
• What is the perimeter formula for a triangle?

  Sum of all side lengths
• The surface area of a cylinder is 2 × π × Radius × (Radius + Height)


  True
• What is 25 cm in meters?

  0.25 meters
• What is the conversion factor from meters to kilometers?

  1 meter = 0.001 km
• How many meters are equivalent to 25 cm?

  0.25 meters
• What is mensuration in the context of geometric figures?

  The process of measuring
• To calculate measurements of 2D shapes, you can use formulas for area and perimeter.
• The area of a rectangle with length 5cm and width 3cm is 15
• The perimeter of a circle is calculated using the formula π × Diameter
• Calculation focuses on the mathematical computations needed in mensuration


  True
• Match the 3D shape with its volume formula:

  Cube ↔️ Side³

  Sphere ↔️ (4/3) × π × Radius³

  Cylinder ↔️ π × Radius² × Height
• What does calculation involve in mensuration?

  Mathematical operations
• What is the primary focus of mensuration in geometry?

  Measuring geometric figures
• Mensuration involves finding the area, perimeter, and other dimensions
• Mensuration includes finding the volume and surface area of 3D shapes
• What does mensuration involve measuring?

  Geometric figures
• To convert cm to meters, you multiply by 0.01


  True
• What is the primary focus of calculation in mensuration?

  Computation
• The area of a circle is π × Radius²


  True
• What is the volume formula for a cube?

  Side³
• To convert 25 cm to meters, the conversion factor is 1 cm = 0.01 meters
• The conversion factor from sq cm to sq meters is 0.0001
• Measurement conversion involves changing measurements from one unit to another.
• The primary difference between mensuration and calculation is that mensuration involves measuring, while calculation involves mathematical operations.
• Match the 2D shape with its area formula:

  Rectangle ↔️ Length × Width

  Triangle ↔️ 1/2 × Base × Height

  Circle ↔️ π × Radius²
• Measurement conversion relies on the use of conversion factors.
• What is mensuration in the context of geometry?

  Measuring geometric figures
• Match the shape with its area formula:

  Rectangle ↔️ Length × Width

  Triangle ↔️ 1/2 × Base × Height

  Circle ↔️ π × Radius²
• Mensuration involves using formulas and taking measurements
• The area of a circle is π × Radius²


  True