M4maths Previous Puzzles

18 Jun 2021 Volume

Find the number of tiles, each measuring 20 cm x 14 cm x 6 cm, required to construct a wall 20 m long, 10 m high and 70cm thick. IF 10% of the wall is filled with mortar?

OPtion

1) 45000
2) 48000
3) 70000
4) 68000
5) 62000
6) 72000
7) 75000
8) 82000
9) 80000
10) None of the above

Solution

Volume of the wall to be constructed = (2000 x 1000 x 70) cm³
Volume of the tiles = 90% of the volume of the wall
= (90/100 x 2000 x 1000 x 70) cm³
Volume of 1 tile = (20 x 14 x 6) cm³
Hence the numbers of tiles are required
= [ 90/100 (2000x1000x70)/(20x14x6)]
=75000

Correct Option: 7 Best Solution (3)