Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
A brick is a solid three-dimensional (3D) shape known as a cuboid. Unlike a flat rectangle, it has depth and takes up space. Visual Description: Think of a standard rectangular box or a sponge; it has length, width, and thickness.
A face is the flat surface of a brick. A standard brick has exactly faces, and each face is a rectangle. Visual Description: If you hold a brick, you can see the top, bottom, front, back, and two side surfaces.
An edge is the straight line where two faces of the brick meet. A brick has edges. Visual Description: These are the long and short straight lines that form the skeleton or the frame of the brick.
A corner (also called a vertex) is the point where three edges of the brick meet. A brick has corners. Visual Description: These are the sharp, pointy tips at the very ends of the brick.
Brick patterns like 'Jaali' and 'Jharokha' are used to decorate walls. A 'Jaali' is a pattern of gaps (holes) in the wall that allows air and light to pass through, while a 'Jharokha' is a type of decorative window pattern. Visual Description: Jaali looks like a net or screen made of bricks, while Jharokha looks like a balcony frame built into the wall.
An Arch is a curved structure made of bricks often found over doors, windows, or bridges. Visual Description: It looks like a semi-circle or a 'U' shape turned upside down, supporting the weight of the wall above it.
Bricks are measured by three dimensions: Length (), Breadth (), and Height (). When drawing a brick, we usually show three faces to give it a 3D look, even though it has six in total.
📐Formulae
💡Examples
Problem 1:
If the price of new bricks is , how much will Muneer pay if he decides to buy bricks?
Solution:
Step 1: Identify the price for bricks = . \ Step 2: Determine how many sets of are in . . \ Step 3: Multiply the price by . .
Explanation:
Since the cost is given for a batch of 1000, we find out how many such batches are needed and multiply the rate by that number.
Problem 2:
Draw a line to represent an edge of a brick. If the length of one edge is and the breadth is , calculate the perimeter of one rectangular face of the brick.
Solution:
Step 1: Use the perimeter formula for a rectangle: . \ Step 2: Plug in the values: . \ Step 3: Calculate the sum: . \ Step 4: Multiply by : .
Explanation:
The face of a brick is a rectangle. To find the boundary (perimeter), we add the length and breadth and then double the result.