Question

a wall is to be built usingnbricks of dimensions 20 cm x 16 cm x 8 cm how many bricks will be required if the wall is 10 cm long 5m high and 64 cm thick​

Answer 1

Answer:

125 bricks.

Step-by-step explanation:

Situation 1 :

A wall is to be built using bricks of dimensions 20cm × 16cm × 8cm.

So,

Length = 20 cm.

Breadth = 16 cm.

Height = 8 cm.

We know that :

$\bigstar\;\boxed{\sf Volume\;of\;Brick\;= L \times B \times H}}$

So,

$\sf\\ \\\implies 20\times16 \times 8cm^3.\\ \\ \\ \implies 2560 cm^3.$

$\rule{300}{1.5}$

Situation 2 :

Volume of wall.

Length = 10 cm.

Breadth = 5 m = 500 cm.

Height = 64 cm.

So,

We know that :

$\bigstar\;\boxed{\sf Volume\;of\;Wall\;= L \times B \times H}}$

So,

$\sf\\ \\\implies 1000 \times 500 \times 64\;cm^3\\ \\ \\ \implies 320000\;cm^3.$

We know,

$\bigstar\;\boxed{\sf No.of\;bricks = \dfrac{Volume\;of\; wall}{Volume\; of\; brick}}$

So,

$\sf\\ \\\implies \dfrac{320000 cm^3}{2560 cm^3}\\ \\ \\ \implies 125\;bricks$

∴ 125 bricks will be required if the wall is 10 cm long 5m high and 64 cm thick​.

Answer 2

$\large\underline\mathfrak\red{Correct\:question-}$

A wall is to be built using bricks of dimensions 20 cm x 16 cm x 8 cm. How many bricks will be required if the wall is 10 cm long 5m high and 64 cm thick?

_________________

$\large\underline\mathfrak\red{Answer-}$

125 bricks are required to make a wall.

________________

$\large\underline\mathfrak\red{Explanation-}$

Given :

• Length of brick(L) = 20 cm
• Breadth of brick(B) = 16 cm
• Height of brick(H) = 8 cm
• Length of wall(l) = 10 cm
• Breadth of wall(b) = 64 cm
• Height of wall(h) = 5m => 500 cm

To find :

• Number of bricks required to make a wall.

Solution :

Number of bricks = $\dfrac{Volume\:of\:wall}{Volume\:of\:brick}$

=> $\dfrac{l\:×\:b\:×\:h}{L\:×B\:×H}$

=> $\dfrac{10\:×\:500\:×\:64}{20\:×\:16\:×\:8}$

=> $\dfrac{320000}{2560}$

=> 125

$\therefore$ 125 bricks are required to make a wall.