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Building with Bricks - Patterns in Bricks

Grade 4CBSE

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

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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.

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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.

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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.

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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.

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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.

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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.

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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).

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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.

Patterns in Bricks Class 4 Notes & Examples | CBSE Maths