Question

How many bricks will be required to construct a wall 10 m long, 6 m high and 22.5 m thick. if brick measures 25 cm by 12 cm by 9 cm.

explain step by step with formula​​

Answer 1

Answer:

Step-by-step explanation:

The length of the wall is equal to 8m.

The breadth of the wall is equal to 22.5cm and

The height of the wall is equal to 6m.

Since units of breadth are different from that of length and height, let us change units of length and height from meters to centimetres.

As we know, 1m = 100cm. Therefore,

8m=8×100=800cm and 6m=6×100=600cm.

Thus, for wall l = 800cm, b = 22.5cm and h = 600cm.

Let us now find the volume of the wall.

Since the wall is in the shape of a cuboid and the volume of the cuboid is given by l×b×h therefore, the volume of the wall becomes equal to l×b×h. Putting the value of l, b and h we get:

The volume of the wall=800×22.5×600⇒10800000cm3

Dimensions of brick are as follows:

The length of the brick is equal to 25cm.

The breadth of brick is equal to 11.25cm and

The height of the brick is equal to 6cm.

Therefore, l = 25cm, b = 11.25cm and h = 6cm.

Let us now find the volume of one brick. Since brick is in the shape of a cuboid and the volume of cuboid is given by l×b×h therefore, the volume of brick becomes equal to l×b×h. Putting values of l, b and h we get:

The volume of brick=25×11.25×6⇒1687.5cm3

Let n number of bricks make the wall.

Since bricks will occupy the space of the wall (they make it) hence, the volume of the wall will be equal to the volume of n bricks.

The volume of wall=Volume of one brick×n

. Therefore,

n=Volume of wallVolume of one brick

Putting values found earlier, we get:

n=10800000cm31687.5cm3⇒n=10800000016875⇒n=6400

As n was supposed to be the number of bricks.

The number of bricks required to make the wall = 6400.

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