Question

A wall of 5m long,20m wide and 2m high is made of bricks,each measuring 20cm×10cm×4.5cm.if 1/10 of the total volume consist of mortar , how many bricks are there in the wall​

Answer 1

Answer:

• Total number of bricks in wall = 2,00,000 bricks.

Step-by-step explanation:

Given:

• Length of wall = 5 m
• Breadth of wall = 20 m
• Height of wall = 2 m
• Volume consist of mortar = 1/10 × Volume of wall
• Length of brick = 20 cm
• Breadth of brick = 10 cm
• Height of brick = 4.5 cm

To Find:

• How many bricks are there in the wall.

Formula used:

• Volume of cuboid = LBH

${\sf{Now,\;Numbers\;of\;bricks = \dfrac{Volume\;of\;wall\;consist\;of\;bricks}{Volume\;of\;1\;brick}}}$

Now, firstly we have to find volume of wall consist of bricks,

⇒ Volume of wall consist of bricks = Volume of wall - Volume of wall consist of mortar.

Now, we will find volume of wall,

Dimensions of wall are:

• Length (L) = 5 m
• Breadth (B) = 20 m
• Height (H) = 2 m

⇒ Volume of wall = LBH

⇒ Volume of wall = 5 × 20 × 2

⇒ Volume of wall = 200 m²

Now, we will find Volume of wall consist of mortar,

⇒ Volume of wall consist of mortar = 1/10 × Volume of wall

⇒ Volume of wall consist of mortar = 1/10 × 200

⇒ Volume of wall consist of mortar = 20 m²

Now,

⇒ Volume of wall consist of bricks = Volume of wall - Volume of wall consist of mortar.

⇒ Volume of wall consist of bricks = 200 - 20

⇒ Volume of wall consist of bricks = 180 m²

Now, we will find volume of bricks,

Dimensions of bricks are:

• Length (L) = 20 cm = 0.2 m
• Breadth (B) = 10 cm = 0.1 m
• Height (H) = 4.5 cm = 0.045 m

⇒ Volume of brick = LBH

⇒ Volume of brick = 0.2 × 0.1 × 0.045

⇒ Volume of brick = 0.0009 m²

${\sf{Now,\;Numbers\;of\;bricks = \dfrac{Volume\;of\;wall\;consist\;of\;bricks}{Volume\;of\;1\;brick}}}$

$\implies{\sf{Numbers\;of\;bricks = \dfrac{180\;m^{2}}{0.0009\;m^{2}}}}$

$\implies{\sf{Numbers\;of\;bricks = 2,00,000\;bricks}}$

Hence, Total number of bricks in wall = 2,00,000 bricks.

Answer 2

Answer:

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