A mason constructs a wall of dimensions 270cm × 300cm × 350cm with the bricks each of size 22.5cm × 11.25cm × 8.75cm and it is assumed that 1/8 space is covered by the mortar. Then the number of bricks used to construct the wall is
a. 11100
b. 11200
c. 11000
d. 11300

Solution:

The dimensions of the wall is 270cm× 300cm × 350cm

We know that

Volume of the wall = 270 × 300 × 350 = 28350000 cm³

It is given that 1/8 space is covered by the mortar

Remaining space of wall = Volume of wall - Volume of mortar

Substituting the values

= 28350000 - 28350000 × 1/8

= 28350000 - 3543750

= 24806250 cm³

Here

Volume of one brick = 22.5 × 11.25 × 8.75 = 2214.844 cm³

So the required number of bricks = 24806250/2214.844 = 11200

Therefore, the number of bricks used to construct the wall is 11200.

✦ Try This: A mason constructs a wall of dimensions 350cm× 400cm × 450cm with the bricks each of size 35.5cm × 25.5cm × 10.5cm and it is assumed that 1/4 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 12.1 Problem 11

A mason constructs a wall of dimensions 270cm × 300cm × 350cm with the bricks each of size 22.5cm × 11.25cm × 8.75cm and it is assumed that 1/8 space is covered by the mortar. Then the number of bricks used to construct the wall is a. 11100, b. 11200, c. 11000, d. 11300

Summary:

A mason constructs a wall of dimensions 270cm × 300cm × 350cm with the bricks each of size 22.5cm × 11.25cm × 8.75cm and it is assumed that 1/8 space is covered by the mortar. Then the number of bricks used to construct the wall is 11200

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