A cuboidal block 6cm x 9cm x 12cm is cut up into an exact number of equal cubes.The least possible number of equal cubes will be
Volume of block=(6x9x12) = 648
Side of largest cube = H.C.F of 6,9,12 = 3cm
Volume of the cube=(3x3x3)=27
Number of cubes=(648/27)=24
How many iron rods, each of length 7 mts and diameter 2 cms can be made out of 0.88 cubic metre of iron ?
Given length of iron rod =7 mts
and diameter of rod = 2 cms
Volume of one rod = cu. m = cu. m
Given volume of iron = 0.88 cu. m
Number of rods = = 400.
The size of the wooden block is 5 x 10 x 20 cm .How many such blocks will be required to construct a solid wooden cube of minimum size?
Side of smallest cube = L.C.M of 5,10,20 = 20cm
Volume of the cube = (20x20x20) = 8000
Volume of the block= (5x10x20) = 1000
Number of blocks = (8000/1000) = 8
How many cubes of 3cm edge can be cut out of a cube of 18cm edge
number of cubes=(18 x 18 x 18) / (3 x 3 x 3) = 216
A rectangular box measures internally 1.6m long, 1m broad and 60cm deep. The number of cubical box each of edge 20cm that can be packed inside the box is:
Number of blocks ==120
How many cubes of 10cm edge can be put in a cubical box of 1m edge
number of cubes=(100x100x100)/(10x10x10)=1000