1) 216
2) 1
3) 450 ml
4)15 packs
5)12 sq m
Step-by-step explanation:
Step 1:
1) The series given is the cube of the first n natural numbers. Hence the nth term of the series can be obtained by n³.
Here we need the 6th term, so the cube of 6 is 216
Step 2 :
2 ) Area of the cube is given as 8000 cubic cm.
Hence side of the cube is 20 cm cube
The radius of the sphere is 20 cm as the diameter is given as 10 cm.
Hence number of spheres that can be placed in a cube of side 20 cm is 20/20 = 1
Step 3 :
3)
Total quantity of the mixture purchased from the chemist is 750 ml
Syrup and alcohol are in the ration 3:2
Hence the quantity of syrup in the mixture = 3/5 * 750 = 450 ml
Step 4 :
4)
Length and breadth of the given room is 17 m and 15 m
Hence its area is 17 * 5 = 85 sq m.
Size of the tiles is 1 sq m
So for covering 85 sq m we need 85/1 = 85 tiles
Since the tiles are bought in packs of 6 we need 85/6 packs which is approximately 15 packs of tiles.
Step 5 :
5)
Surface area of the given box with length as l, breadth as b and width as w is
2lw+2 lh+2 wh
here we have l,b,w as 3,2,2
so surface area is 3*2*2 = 12 sq m
