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?*​

Answer 1

Answer:

area of 1 brick = 30×15×10 = 4500

area of wall = 24×50×300 = 360000

360000

4500

= 80 bricks .

Answer 2

Answer:

• 8000 bricks are needed to build the wall.

Step-by-step explanation:

Given that:

• A brick is 30 cm long, 15 cm thick and 10 cm wide.
• A wall is to be build 24 m long, 50 cm wide and 3 m high.

To Find:

• How many bricks will be needed to build the wall?

Formula Used:

• Volume of a cuboid = (L × B × H) cubic units

Where,

• L = Length of the cuboid
• B = Breadth of the cuboid
• H = Height of the cuboid

Solution:

Calculating volume of the wall:

$\sf{\longmapsto(Length\times Breadth\times Height)}$

$\sf{\longmapsto(24m\times50cm\times3m)}$

$\sf{\longmapsto(2400cm\times50cm\times300cm)}$

$\sf{\longmapsto3,60,00,000}$

Hence,

• Volume of the wall = 3,60,00,000 cm³

Calculating volume of the brick:

$\sf{\longmapsto(Length\times Breadth\times Height)}$

$\sf{\longmapsto(30cm\times15cm\times10cm)}$

$\sf{\longmapsto4,500}$

Hence,

• Volume of the brick = 4500 cm³

Finding number of bricks required to build the wall:

$\sf{\longmapsto \dfrac{Volume\;of \;the\;wall}{Volume\;of\;the\;brick}}$

$\sf{\longmapsto \dfrac{3,60,00,000}{4500}}$

Cutting off the zeros,

$\sf{\longmapsto \dfrac{3,60,00,0\!\!\!\not{0}\!\!\!\not{0}}{45\!\!\!\not{0}\!\!\!\not{0}}}$

$\sf{\longmapsto \dfrac{3,60,000}{45}}$

Dividing the numbers,

$\sf{\longmapsto 8000}$

Hence,

• 8000 bricks are needed to build the wall.