4.2 Mensuration and Calculation

• The amount of space a two-dimensional shape occupies is called its area
• The perimeter of a shape is the total length of its boundary.


  True
• The area of a circle with radius 'r' is given by $A =$$\pi r^{2}$
• What is the formula for the perimeter of a square with side length 's'?

  $P =$$4s$
• Match the shape with its area and perimeter formulas:

  Square ↔️ $A =$$s^{2}$, $P =$$4s$

  Rectangle ↔️ $A =$$lw$, $P =$$2(l + w)$

  Circle ↔️ $A =$$\pi r^{2}$, $P =$$2\pi r$

  Triangle ↔️ $A =$$1 / 2 bh$, $P =$$a +$$b +$$c$
• The area of a triangle is calculated by multiplying half of the base by the height.


  True
• The area of a square is calculated using the formula A = s^2
• What is the formula to calculate the area of a circle?

  $A =$$πr^{2}$
• Mensuration is the branch of geometry focused on measuring shapes
• What is the perimeter of a shape in mensuration?

  The boundary's total length
• The perimeter of a square is calculated using the formula P = 4s
• What is the formula to calculate the perimeter of a circle?

  $P =$$2πr$
• The perimeter of a triangle is calculated using the formula $P =$$a +$$b +$$c$
• What is the formula for the area of a triangle?

  $A =$$\frac{1}{2} bh$
• The perimeter of a rectangle is calculated using the formula P = 2(l + w).

  True
• What is the formula for the volume of a cube?

  V = s^3</latex>
• What is the formula for the area of a rectangle?

  $A =$$lw$
• What is the perimeter formula for a square?

  $P =$$4s$
• What type of calculation is needed to measure the length of fencing around a square field?

  Perimeter
• What is the branch of geometry that focuses on measuring shapes and their properties called?

  Mensuration
• Match the property with its definition:

  Area ↔️ Space a 2D shape occupies

  Volume ↔️ Space a 3D shape occupies

  Perimeter ↔️ Boundary length of a 2D shape

  Surface Area ↔️ Total area of a 3D shape
• In the formula for the perimeter of a triangle, 'a', 'b', and 'c' represent the lengths of its three sides.


  True
• The perimeter of a circle with radius 'r' is given by $P =$$2\pi r$
• What is the formula for the area of a triangle with base 'b' and height 'h'?

  $A =$$1 / 2 bh$
• The area of a square is found by squaring the length of one of its sides.


  True
• What is the formula to calculate the area of a rectangle?

  $A =$$lw$
• The area of a square with a side length of 5 units is 25 square units.


  True
• Match the property with its definition:

  Area ↔️ The amount of space a 2D shape occupies

  Volume ↔️ The amount of space a 3D shape occupies
• The perimeter of a two-dimensional shape is the total length of its boundary
• What is the formula to calculate the perimeter of a rectangle?

  $P =$$2(l + w)$
• The perimeter of a circle is calculated using the formula $P =$$2πr$
• The area of a circle is given by the formula $A =$$\pi r^{2}$
• What is the area of a rectangle with length 4 units and width 3 units?

  12 square units
• What is the formula for the perimeter of a triangle?

  $P =$$a +$$b +$$c$
• The volume of a sphere is calculated using the formula $V =$$\frac{4}{3} \pi r^{3}$.


  True
• A cube with a side length of 4 cm has a volume of 64 cubic cm.
• The volume of a three-dimensional shape is the amount of space it occupies.
• The volume of a cube with side length s is V = s^3</latex>.
• What is the formula for the area of a square with side length 's'?

  $A =$$s^{2}$
• Match the shape with its area and perimeter formulas:

  Square ↔️ $A =$$s^{2}$, $P =$$4s$

  Rectangle ↔️ $A =$$lw$, $P =$$2(l + w)$

  Circle ↔️ $A =$$\pi r^{2}$, $P =$$2\pi r$

  Triangle ↔️ $A =$$1 / 2 bh$, $P =$$a +$$b +$$c$