📐 Perimeter, Area and Volume
Class 5 Maths · Unit 8 of 12 · about 120 minutes
This unit introduces perimeter and area of rectangles and squares using formulas, area measured in square centimetres, and volume by counting unit cubes. Children move from counting unit lengths and squares to applying rules, and build a foundation for later measurement and geometry work.
What your child will learn
- Students will be able to calculate the perimeter of a rectangle and a square using the formula (2 × (length + breadth) for rectangle, 4 × side for square).
- Students will be able to calculate the area of a rectangle and a square using the formula (length × breadth for rectangle, side × side for square).
- Students will be able to find the area of a given shape by counting unit squares on a grid.
- Students will be able to find the volume of a solid made of unit cubes by counting the cubes.
- Students will be able to solve word problems involving perimeter and area of rectangles and squares in real-life contexts.
Lessons in this unit
- Perimeter of Rectangles and Squares: Understand perimeter as the total distance around a shape. Derive and apply the formula for rectangles and squares.
- Area of Rectangles and Squares: Understand area as the space inside a shape. Derive and apply the formula for rectangles and squares.
- Area by Counting Unit Squares: Find the area of shapes by counting unit squares on a grid, including half squares.
- Volume by Counting Unit Cubes: Understand volume as the space inside a solid. Find volume by counting unit cubes.
- Word Problems on Perimeter and Area: Apply perimeter and area formulas to solve real-life word problems, choosing the correct measure.
Key words
- perimeter
- The total distance around the outside of a shape.
- area
- The amount of space inside a flat shape, measured in square units.
- square centimetre
- A square with sides of 1 cm; we use it to measure area.
- volume
- The amount of space inside a solid object, measured in cubic units.
- unit cube
- A cube with sides of 1 unit; we count these to find volume.
- formula
- A short rule that helps us calculate something quickly.
Help your child at home
What to watch for
- Perimeter is the space inside the shape.
- Help: Perimeter is the distance around the outside. Walk around the shape to feel it.
- Area is the distance around the shape.
- Help: Area is the space inside. Imagine filling the shape with small squares.
- Half squares are counted as full squares.
- Help: Look carefully: a half square is only half. Two halves make one full square.
- Volume is the same as area.
- Help: Area is for flat shapes, volume is for solid objects. Volume counts cubes, not squares.
Try this at home
- Find perimeter of rectangle with given length and breadth
- Find area of rectangle with given length and breadth
- Count squares in a rectangle on a grid
- Count the cubes in one layer, then multiply by the number of layers
Quick questions to ask aloud
- What is the perimeter of a rectangle with length 8 cm and breadth 5 cm? (26 cm / 13 cm / 40 cm / 18 cm)
Show answer
Perimeter is the total distance around. A rectangle has two lengths and two breadths. So 2 × (8 + 5) = 2 × 13 = 26 cm. - What is the area of a rectangle with length 8 cm and breadth 5 cm? (40 square cm / 26 square cm / 13 square cm / 18 square cm)
Show answer
Area is the space inside. Multiply length × breadth: 8 × 5 = 40 square cm. - A shape on a grid has 6 full squares and 2 half squares. What is its area in square cm? (7 / 8 / 6 / 10)
Show answer
Two halves make one full square. So 6 + 1 = 7 square cm.
Frequently asked questions
What will my child learn in "Perimeter, Area and Volume" (Class 5 Maths)?
Your child will be able to: calculate the perimeter of a rectangle and a square using the formula (2 × (length + breadth) for rectangle, 4 × side for square).; calculate the area of a rectangle and a square using the formula (length × breadth for rectangle, side × side for square).; find the area of a given shape by counting unit squares on a grid.; find the volume of a solid made of unit cubes by counting the cubes.; solve word problems involving perimeter and area of rectangles and squares in real-life contexts..
How does MangoMindz teach "Perimeter, Area and Volume"?
In 5 short parts (Perimeter of Rectangles and Squares, Area of Rectangles and Squares, Area by Counting Unit Squares, Volume by Counting Unit Cubes, Word Problems on Perimeter and Area). Each part has a picture-based lesson read aloud by Mango Teacher, a quick check, and a quiz built from common mistakes children make, with Mango, a study buddy, for questions.
How long does "Perimeter, Area and Volume" take?
About 120 minutes in total, spread over 5 parts of 15–25 minutes each.
How can I help my child with "Perimeter, Area and Volume" at home?
Work through a small example together, such as: Find perimeter of rectangle with given length and breadth; Find area of rectangle with given length and breadth. Then ask a quick question aloud: What is the perimeter of a rectangle with length 8 cm and breadth 5 cm? (26 cm / 13 cm / 40 cm / 18 cm)
What mistakes do children often make in "Perimeter, Area and Volume"?
Perimeter is the space inside the shape. Fix: Perimeter is the distance around the outside. Walk around the shape to feel it. Area is the distance around the shape. Fix: Area is the space inside. Imagine filling the shape with small squares. Half squares are counted as full squares. Fix: Look carefully: a half square is only half. Two halves make one full square.
Is "Perimeter, Area and Volume" free on MangoMindz?
Yes. Every lesson part and quiz in "Perimeter, Area and Volume" is free on MangoMindz, with no ads.