Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
A standard brick is a 3D solid shape called a cuboid. It has rectangular faces, straight edges, and corners (vertices). When looking at a brick from one side, you can only see a rectangular face.
Bricks are arranged in specific patterns to build walls. A strong wall pattern usually involves 'staggering' the bricks so that the vertical joints do not line up. Visually, this looks like the middle of a brick sitting directly above the gap between two bricks in the layer below.
A 'Jaali' is a decorative pattern in a brick wall created by leaving small gaps or holes between bricks. This creates a net-like appearance that allows air and light to pass through while maintaining the wall's structure.
A 'Jharokha' is a traditional window pattern made with bricks. It often projects out from the wall and can include beautiful arch shapes or intricate brickwork around the frame to make it look like a balcony.
Bricks can also be used to create circular patterns, often seen on floors or around the mouths of wells. In a circular layout, the bricks are placed such that they radiate outward, appearing narrower on the inside of the circle and wider on the outside.
An arch is a curved brick structure used over doors, windows, or bridges. It is built by placing bricks in a curved path, allowing the weight of the wall above to be distributed to the sides. It looks like a semi-circle or a bow shape.
The size of bricks can vary, but within a single wall, they are usually identical. When measuring a brick, we look at its three dimensions: Length (the longest side), Width (the side across), and Height (the thickness or vertical side).
Buying bricks involves large numbers. Prices are typically quoted 'per bricks'. To calculate the cost of a specific number of bricks, we use the unitary method to find the cost of one brick first or use the price ratio for thousands.
📐Formulae
💡Examples
Problem 1:
Munia wants to buy new bricks. The price for bricks is given as . How much money does she need to pay?
Solution:
Step 1: Identify the cost of bricks = . \ Step 2: Calculate the number of sets of bricks in . This is . \ Step 3: Multiply the cost of bricks by . \ Total Cost = .
Explanation:
Since Munia is buying three times the unit of 1,000 bricks, we simply multiply the unit price by 3.
Problem 2:
If the price of old bricks is , find the cost of bricks.
Solution:
Step 1: Cost of bricks = . \ Step 2: Since is half of (), the cost will also be half. \ Step 3: Calculate half of the price: .
Explanation:
We use the relationship that 500 is half of 1,000 to quickly find the price by dividing the total price by 2.