Question

(g) What expenses will be incurred in making a 11m long, 5 m high and 50 m thick wall from 20 cm long, 11cm broad and 8 cm high bricks, if the price of 500 bricks is rs 200?​

Answer 1

Solution : We know through question that, the price of 500 bricks is Rs 200.

➜ Price of one brick = (500 bricks)/(500 bricks cost)

➜ Price of one brick = 500/200

➜ Price of one brick = Rs 5/2 = Rs 2.5

Now, a/c to question;

➜ Length of brick = 20 cm

➜ Breadth of brick = 11 cm

➜ Height of brick = 8 cm

Now,

➜ Volume of a brick = Length * Breadth * Height

➜ Volume of a brick = 20 * 11 * 8

➜ Volume of a brick = 220 * 8

➜ Volume of a brick = 1760 cm³

Here, we know that, 1 cm³ = 1/10⁶ m³. Hence, 1760 cm³ = 1760/10⁶ m³

Here,

➜ Length of wall = 11 m

➜ Breadth of wall = 50 m

➜ Height of wall = 5 m

Now,

➜ Volume of wall = Length * Breadth * Height

➜ Volume of wall = 11 * 50 * 5

➜ Volume of wall = 550 * 5

➜ Volume of wall = 2750 m³

To find, how many bricks did it take to make a wall.

➜ Number of bricks = (Volume of wall)/(Volume of a brick)

➜ Number of bricks = 2750/(1760/10⁶)

➜ Number of bricks = (2750/1760) * 10⁶

➜ Number of bricks = (25/16) * 10⁶

➜ Number of bricks = 1.5625 * 10⁶

➜ Number of bricks = 1562500

To find the cost of building a wall;

➜ Cost of building a wall = Number of bricks * Price of a brick

➜ Cost of building a wall = 1562500 * 2.5

➜ Cost of building a wall = Rs 3906250

Answer : Hence, the cost of building a wall is Rs 3906250.