Q) A right triangular shaped wall of height 5 units & base 3 units is to be tiled using right triangular shaped tiles of perpendicular edges 1 unit & 4 units.No tile should overlap each other overshoot any edge of the floor. A tile can be oriented in any manner as long as atleast one of its edges is parallel to one of the edges of the wall.Find the max. no of tiles which can be fixed on the wall? a) 3 b) 4 c)2 d) 5 |
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Q2) Sidewalls & floor of a cubical room are to be fully covered with square tiles of identical size.All tiles at the edges are red.The diagonal tiles except for corner are yellow & the remaining tiles are blue.If the no of yellow tiles is equal to that of blue, then possible no of tiles required to tile the room will be:
a) 125 b) 180 c) 245 d) 45
No of yellow = No of blue = 8 in each side and floor
and red = 18
In each side and floor = 36
and total 180
Q) A right triangular shaped wall of height 5 units & base 3 units is to be tiled using right triangular shaped tiles of perpendicular edges 1 unit & 4 units.No tile should overlap each other overshoot any edge of the floor. A tile can be oriented in any manner as long as atleast one of its edges is parallel to one of the edges of the wall.Find the max. no of tiles which can be fixed on the wall?
a) 3 b) 4 c)2 d) 5
well i think the answer is 2
let ABC be the right trianle with rt angle at B and AB=5 and BC=3
now our one tile is 1*4
aligning it such that it 4 unit side of the tile is parallel to 5 unit side of wall
now angle BAC of wall is tan<BAC= 3/5
and that of the tile is TAN <P=1/4
therefore no of tiles that we can adjust in be 'n' => 3/5- (1/4)n we can see max value of n is 2
we can check by:- 0.5 * 3*5- 2*0.5*4=3.5
which is less than the area of one tile...
CORRECT ME IF I COULDNT FIGURE OUT A THING...
I know its coming.....and I know i can handle it the best....
n/a
hi..anita !!! Can u explain your solution to Q2???
Thanks in advace.....
Above fig shows 36 tiles in each side and floor
total 36 x 5 = 180
Q2) Sidewalls & floor of a cubical room are to be fully covered with square tiles of identical size.All tiles at the edges are red.The diagonal tiles except for corner are yellow & the remaining tiles are blue.If the no of yellow tiles is equal to that of blue, then possible no of tiles required to tile the room will be:
a) 125 b) 180 c) 245 d) 45
sol.
If side of floor is n units and side of tiles is 1 uint.
then the number of yellow tiles are 2(n - 2) coz total tiles on digonal are n.
the number of blue tiles are also 2(n - 2).
the number of red tiles on edges are 2n + 2(n - 2)
total number of tiles on floor =
2(n - 2) + 2(n - 2) + 2n + 2(n - 2) = n2
(n - 6)(n - 2) = 0
n = 6, 2
total number of tiles are 62 x 5 = 180
well anita.. the method and answer is right...
but the figure u gave needs correction..
anyways thanx...
I know its coming.....and I know i can handle it the best....
n/a
can you tell me where exactly is the error ? ? ?
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