Question

A wall measuring 10 mx 1.62 m x 28 cm is to be built by using bricks each measuring
21 cm x 9 cm x 6 cm. How many bricks will be needed assuming no wastage in the
process? Find also the cost of the bricks at 1.50 per piece​

Answer 1

Given -

A wall measuring 10m x 1.62m x 28cm is to be built by using bricks each measuring 21 cm x 9 cm x 6 cm.

To find -

• Number of bricks
• The cost of the bricks at 1.50 per piece

Solution -

• Convert " m " into " cm "

Focus Zone : 1m = 100 cm

→ 10m = 10 × 100 = 1000 cm

→ 1.62 m = 1.62 × 100 = 162 cm

• Dimensions of wall
• Length = 1000 cm
• Breadth = 162 cm
• Height = 28 cm

→ Volume of wall

→ Length × breadth × height

→ (1000 × 162 × 28) cm³

• Dimensions of bricks
• Length = 21 cm
• Breadth = 9cm
• Height = 6 cm

→ Volume of bricks

→ Length × breadth × height

→ (21 × 9 × 6) cm³

Number of bricks

→ Volume of wall/volume of bricks

→ (1000 × 162 × 28) cm³/ (21 × 9 × 6) cm³

→ 4000 bricks

•°• Number of bricks = 4000

• The cost of the bricks at 1.50 per piece
• Cost of 1 brick = Rs.1.50

→ Cost of 4000 bricks

→ 4000 × 1.50

→ Rs.6000

•°• Cost of 4000 bricks = Rs.6000

________________________________

Answer 2

Answer:

Given :-

• A wall measuring 10 m × 1.62 m × 28 cm is to be built by using bricks each measuring 21 cm × 9 cm × 6 cm.

To Find :-

• How many bricks will be needed assuming no wastage in the process.
• What is the cost of the bricks at Rs 1.50 per piece.

Solution :-

First we have to convert m to cm.

As we know that,

★ 1 cm = 100 cm ★

Then,

✧ 10 m = 10 × 100 = 1000 cm

✧ 1.62 m = 1.62 × 100 = 162 cm

Hence, we get dimension for wall,

• Length = 1000 cm
• Breadth or Width = 162 cm
• Height = 28 cm

We know that,

✯ Volume = Length × Width × Height ✯

According to the question by using the formula we get,

⇒ Volume = 1000 cm × 162 cm × 28 cm

➠ Volume = (1000 × 162 × 28) cm³

Again, for dimension of bricks

Given :

• Length = 21 cm
• Breadth or Width = 9 cm
• Height = 6 cm

We know that,

✪ Volume = Length × Width × Height ✪

According to the question by using the formula we get,

↦ Volume = 21 cm × 9 cm × 6 cm

➦ Volume = (21 × 9 × 6) cm³

Now, we have to find the number of bricks,

According to the question,

↪ Number of bricks = 1000 × 162 × 28/21 × 9 × 6

↪ Number of bricks = 4536000/1134

➤ Number of bricks = 4000 bricks

∴ Number of bricks is 4000 bricks .

Now, we have to find the cost of the bricks,

Given :

• Number of bricks = 4000 bricks
• Cost of bricks = Rs 1.50

According to the question,

⇒ Cost of bricks = 4000 × 1.50

➠ Cost of bricks = Rs 6000

∴ Cost of bricks is Rs 6000 .