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A wall 24 m long, 0.4 m thick and 6 m high is constructed with the bricks each of dimensions 25 cm × 16 cm × 10 cm. If the mortar occupies 1/10 th of the volume of the wall, then find the number of bricks used in constructing the wall

Solution:

Given, a wall 24 m long, 0.4 m thick and 6 m high is constructed with the bricks each of dimensions 25 cm × 16 cm × 10 cm.

Mortar occupies 1/10 th of the volume of the wall.

We have to find the number of bricks used in constructing the wall.

Volume of wall = length × breadth × height

Volume of wall including bricks = 24 × 0.4 × 6

= 57.6 m³

Given, dimension of bricks = 25 cm × 16 cm × 10 cm

Length of bricks = 25 cm = 25/100 = 0.25 m

Width of bricks = 16 cm = 16/100 = 0.16 m

Height of bricks = 10 cm = 10/100 = 0.1 m

Volume of bricks = 0.25 × 0.16 × 0.10

= 0.004 m³

Volume of mortar = 1/10 th volume of wall

= 1/10 (57.6)

= 5.76 m³

Number of bricks used in construction = (volume of wall including bricks - volume of mortar)/volume of bricks

= (57.6 - 5.76)/0.004

= 51.84/0.004

= 12960

Therefore, 12960 bricks are used in the construction of the wall.

✦ Try This: A mason constructs a wall of dimensions 270 cmx 300 cm x 350 cm with the bricks each of size 22.5 cm x 11.25 cmx 8.75 cm and it is assumed that 1/8 space is covered by the mortar. Then, the number of bricks used to construct the wall is

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 13

NCERT Exemplar Class 10 Maths Exercise 12.3 Problem 13

A wall 24 m long, 0.4 m thick and 6 m high is constructed with the bricks each of dimensions 25 cm × 16 cm × 10 cm. If the mortar occupies 1/10 th of the volume of the wall, then find the number of bricks used in constructing the wall

Summary:

A wall 24 m long, 0.4 m thick and 6 m high is constructed with the bricks each of dimensions 25 cm × 16 cm × 10 cm. If the mortar occupies 1/10 th of the volume of the wall, then the number of bricks used in constructing the wall is 12960

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