10) A wall is 8m long, 8m high and 20 m thick while a brick used for its construction is 16 cm long, 8 cm high and 4 cm thick. The cost of a brick is Rs 21. If there is no spaces between bricks in the wall, then

> How many bricks are used to construct the wall?

b) The total cast of wall with cost on RS 7,00,000 was spent to build the wages and other expenses. How much did it cost on wages and. other expenses? 

### Part A: How many bricks are used to construct the wall?

To find out how many bricks are used to construct the wall, we first calculate the volume of the wall and the volume of a single brick. 

1. **Volume of the wall:**
   - Length of the wall: 8 m
   - Height of the wall: 8 m
   - Thickness of the wall: 20 m

   \[
   \text{Volume of the wall} = 8 \, \text{m} \times 8 \, \text{m} \times 20 \, \text{m} = 1280 \, \text{m}^3
   \]

   Since 1 m³ = 1,000,000 cm³:

   \[
   1280 \, \text{m}^3 = 1280 \times 1,000,000 \, \text{cm}^3 = 1,280,000,000 \, \text{cm}^3
   \]

2. **Volume of a single brick:**
   - Length of a brick: 16 cm
   - Height of a brick: 8 cm
   - Thickness of a brick: 4 cm

   \[
   \text{Volume of a brick} = 16 \, \text{cm} \times 8 \, \text{cm} \times 4 \, \text{cm} = 512 \, \text{cm}^3
   \]

3. **Number of bricks used:**

   \[
   \text{Number of bricks} = \frac{\text{Volume of the wall}}{\text{Volume of a brick}} = \frac{1,280,000,000 \, \text{cm}^3}{512 \, \text{cm}^3} = 2,500,000
   \]

So, **2,500,000 bricks** are used to construct the wall.

### Part B: Cost on Wages and Other Expenses

Given:
- Total cost spent on building the wall, including wages and other expenses: Rs 7,00,000
- Cost of each brick: Rs 21

1. **Total cost of bricks:**

   \[
   \text{Total cost of bricks} = \text{Number of bricks} \times \text{Cost per brick} = 2,500,000 \times 21 = 52,500,000 \, \text{Rs}
   \]

2. **Cost on wages and other expenses:**

   Since the total expenditure (Rs 7,00,000) is significantly less than the calculated cost of the bricks alone (Rs 52,500,000), it seems like the given values may need to be reviewed for accuracy. 

Please verify the numbers because they appear inconsistent under normal circumstances. The total cost of wages and other expenses would typically be:

\[
\text{Cost on wages and other expenses} = \text{Total cost} - \text{Cost of bricks}
\]

However, given the large cost discrepancy noted, it’s important to review the provided total expense figure or the brick costs for any errors or adjustments.

---

### Questions for Further Exploration:

1. What could be the implications if the measurements or costs provided are incorrect?
2. How would the calculation change if there was a different thickness or size of the wall?
3. How does the absence of spaces between the bricks affect the total cost estimation?
4. What methods can be used to accurately measure the total cost of construction including all factors?
5. How would changing the brick size affect the overall construction cost?

**Tip:** Always ensure units are consistent throughout calculations to avoid significant discrepancies in results.

10) A wall is 8m long, 8m high and 20 m thick while a brick used for its construction is 16 cm long, 8 cm high and 4 cm thick. The cost of a brick is Rs 21. If there is no spaces between bricks in the wall, then

How many bricks are used to construct the wall?

b) The total cost of wall with cost on RS 7,00,000 was spent to build the wages and other expenses. How much did it cost on wages and other expenses?

Learn how to calculate the number of bricks needed to build a wall that is 8m long, 8m high, and 20m thick using brick dimensions of 16cm x 8cm x 4cm. This problem covers volume calculation, unit conversions, and cost estimation, with a breakdown of brick costs and expenses. Suitable for students in Grades 6-8.

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