Question

*How many bricks of 30 cm long, 15 cm thick and 10 cm wide bricks will be enough to build a wall 24 m long, 50 cm wide and 3 m high?*

1️⃣ 8000
2️⃣ 1600
3️⃣ 1200
4️⃣ 4000​

Answer 1

Given :- How many bricks of 30 cm long, 15 cm thick and 10 cm wide bricks will be enough to build a wall 24 m long, 50 cm wide and 3 m high?*

1️⃣ 8000

2️⃣ 1600

3️⃣ 1200

4️⃣ 4000

Answer :-

We know that,

• Volume of cuboid = L * B * H
• 1 m = 100 cm .

Let us assume that, n number of bricks will be enough to build the wall..

then,

→ Volume of one brick * n = Volume of wall .

→ (30 * 15 * 10) * n = (2400 * 50 * 300)

→ 15n = 2400 * 50

→ n = 8000 bricks (Option 1) (Ans.)

Learn more :-

*Which of the given numbers are in continued proportion?*

1️⃣ (2,4,8)

2️⃣ (1,2,3)

3️⃣ (6,9,8)

4️⃣ (3,5,8)

https://brainly.in/question/39285704?utm_source=android&utm_medium=share&utm_campaign=question

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

How many bricks of 30 cm long, 15 cm thick and 10 cm wide bricks will be enough to build a wall 24 m long, 50 cm wide and 3 m high

1. 8000

2. 1600

3. 1200

4. 4000

EVALUATION

Here it is given that each brick is of 30 cm long, 15 cm thick and 10 cm wide

So volume of each brick

= 30 cm × 15 cm × 10 cm

$\sf{ = 4500 \: \: {cm}^{3} }$

Again the wall is of 24 m long, 50 cm wide and 3 m high

Now 1 m = 100 cm

∴ 24 m = 2400 cm

∴ 3m = 300 cm

So volume of the wall

= 2400 cm × 50 cm × 300 cm

$\sf{ = 36000000 \: \: \: {cm}^{3} }$

Hence the required number of bricks

$\displaystyle \sf{ = \frac{Volume \: of \: the \: wall }{Volume \: of \: each \: brick } }$

$\displaystyle \sf{ = \frac{36000000}{4500} }$

$\displaystyle \sf{ = \frac{360000}{45} }$

$\displaystyle \sf{ = 8000}$

FINAL ANSWER

Hence the correct option is 1. 8000

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