4.2 Mensuration and Calculation

• The perimeter formula for a rectangle is 2 × (length) + 2 × (width).


  True
• What is the key difference between the perimeter formulas of a rectangle and a square?

  Equal vs unequal sides
• What is the area formula for a square?

  (side length)²
• Match the shape with its perimeter formula:

  Rectangle ↔️ 2 × (length + width)

  Square ↔️ 4 × side length
• What is the volume formula for a cuboid?

  length × width × height
• The surface area of a cuboid is the sum of the areas of all its six faces.


  True
• Steps to calculate the perimeter of a rectangle:

  1️⃣ Identify the length and width

  2️⃣ Apply the formula 2 × (length + width)

  3️⃣ Calculate the result
• What three properties are multiplied to find the volume of a cuboid?

  length, width, height
• The volume formula for a cuboid is the product of its dimensions
• The surface area of a cuboid is the sum of the areas of all its six faces
• The volume of a cylinder is calculated using the formula $V =$$\pi r^{2} h$, where r is the radius
• The diameter of a circle is the distance across the circle through its center
• Match the property of a circle with its formula:

  Radius ↔️ $\frac{d}{2}$

  Area ↔️ $\pi r^{2}$

  Circumference ↔️ $2\pi r$
• To find the area of a composite shape, you add the areas of its individual components


  True
• The perimeter of a rectangle is calculated using the formula 2 × (length + width)
• To find the area of a composite shape, you add the areas of each individual shape.


  True
• The area of a square is calculated using the formula side length²
• Match the measurement with its metric units:

  Length ↔️ mm, cm, m, km

  Area ↔️ mm², cm², m², km²

  Volume ↔️ mm³, cm³, m³
• One kilometer is equal to 1000 m
• One cubic meter is equal to 1,000,000 cm³
• Why are proper unit conversions crucial in geometric calculations?

  To ensure accuracy
• The perimeter formula for a rectangle is 2 \times (\text{length} + \text{width})</latex>.


  True
• What is the perimeter of a rectangle with length 5 cm and width 3 cm?

  16 cm
• The area formula for a rectangle is \text{length} \times \text{width}</latex>.

  True
• Why is the area formula for a square simpler than that of a rectangle?

  All sides are equal
• What is the volume of a cuboid with length 5 cm, width 4 cm, and height 3 cm?

  60 cm³
• The surface area formula for a cuboid is SA = 2 \times (lw + lh + wh)</latex>.
• The volume of a cylinder is $V =$$\pi r^{2} h$.


  True
• The circumference of a circle is calculated using the formula $C =$$2\pi r$, where r is the radius.
• The diameter of a circle is twice its radius
• The area of a circle with radius 4 cm is 16\pi</latex> cm².


  True
• How do you calculate the perimeter of a composite shape made of rectangles and squares?

  Add the outer edges
• What is the formula for the perimeter of a square?

  $4 \times \text{side length}$
• The area of a rectangle is $\text{length} \times \text{width}$
• What is the perimeter of a shape defined as?

  Total distance around edges
• The perimeter formula for a square is 4 × (side length).
• The area of a rectangle is calculated by multiplying its length and width.


  True
• A square only requires one side length to calculate its area.
• Squares and rectangles both use the same method to calculate their area.

  False
• A cuboid with length 5 cm, width 4 cm, and height 3 cm has a volume of 60 cm³.