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Building with Bricks - Patterns in Bricks

Grade 4CBSE

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 66 rectangular faces, 1212 straight edges, and 88 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 1,0001,000 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

Cost of 1 brick=Total price of 1,000 bricks1000\text{Cost of 1 brick} = \frac{\text{Total price of 1,000 bricks}}{1000}

Total Cost=Cost of 1 brick×Number of bricks purchased\text{Total Cost} = \text{Cost of 1 brick} \times \text{Number of bricks purchased}

Number of faces in a brick=6\text{Number of faces in a brick} = 6

Number of edges in a brick=12\text{Number of edges in a brick} = 12

Number of corners in a brick=8\text{Number of corners in a brick} = 8

💡Examples

Problem 1:

Munia wants to buy 3,0003,000 new bricks. The price for 1,0001,000 bricks is given as 2,000₹ 2,000. How much money does she need to pay?

Solution:

Step 1: Identify the cost of 1,0001,000 bricks = 2,000₹ 2,000. \ Step 2: Calculate the number of sets of 1,0001,000 bricks in 3,0003,000. This is 30001000=3\frac{3000}{1000} = 3. \ Step 3: Multiply the cost of 1,0001,000 bricks by 33. \ Total Cost = 3×2,000=6,0003 \times ₹ 2,000 = ₹ 6,000.

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 1,0001,000 old bricks is 1,200₹ 1,200, find the cost of 500500 bricks.

Solution:

Step 1: Cost of 1,0001,000 bricks = 1,200₹ 1,200. \ Step 2: Since 500500 is half of 1,0001,000 (10002=500\frac{1000}{2} = 500), the cost will also be half. \ Step 3: Calculate half of the price: 1,2002=600\frac{₹ 1,200}{2} = ₹ 600.

Explanation:

We use the relationship that 500 is half of 1,000 to quickly find the price by dividing the total price by 2.