Question

3. How many bricks each 25 cm long, 16 cm wide and 7.5 cm thick, will be required to build a terrace 5 m long, 3 m broad and 80 cm high?​

Answer 1

ANSWER

Step-by-step explanation

BRICK

Length = 25cm

Width = 16cm

Thick = 7.5cm

Area of brick = l×b×t

= 25×16×7.5

= 3000 cm^2

TERRACE

Length = 5m = 500cm

Breadth = 3m = 300cm

Height = 80cm

Area of terrace = l×b×h

= 500×300×80

= 12000000cm^2

So,

Number of bricks required to built the terrace

= Area of terrace/ area of brick

= 12000000 / 3000

= 4000

Hence, 4000 bricks required to built the terrace.

Answer 2

Given :

For Brick

• Length of the Brick → 25 cm
• Breadth of the Brick → 16 cm
• Height of the Brick → 7.5 cm

For Terrace :

• Length of the Terrace → 5 m Or 500 cm
• Breadth of the Terrace → 3m or 300 cm
• Height of the Terrace → 80 cm

Have to Find :

• How many bricks required to build the terrace?

Formula related to Cuboid :

• {TSA - 2(lb + bh + hl)}
• {CSA - 2(l + b)h}
• {Volume - l × b × h}

Where,

" l " → Length

" b " → Breadth

" h " → Height

Solution :-

For brick -

As from the given we know the dimension,

therefore,

finding the volume of brick

Length (l) = 25 cm

Breadth (b) = 16 cm

Thickness (h) = 7.5 cm

Volume of the brick -> {Volume - l × b × h}

Where,

" l " → Length

" b " → Breadth

" h " → Height

Substituting the values in it, we get

$\implies$25 cm × 16 cm × 7.5 cm

$\implies$ 3000 cm³

________________________

For terrace

From the given we know the dimension of the terrace-

Length (l) = 5 m = 500 cm

Breadth (b) = 3 m = 300 cm

Height (h) = 80 cm

Now , the volume of the terrace -{Volume - l × b × h}

Where,

" l " → Length

" b " → Breadth

" h " → Height

Substituting the values in it, we get

$\implies$ 500 cm × 300 cm × 80 cm

$\implies$12000000 cm³

_______________________

Hence , For number of bricks required to build the terrace, we have to subtract the volume of one brick from the volume of terrace.

$\implies$Volume of terrace / volume of one brick

$\implies$ 12000000 cm³/3000 cm³

$\implies$4000.

Thus, the number of bricks required is 4000

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