If each edge of a cube is increased by 50%, find the percentage increase in Its surface area
Let the edge = a cm
So increase by 50 % = =
Total surface Area of original cube =
TSA of new cube =
Increase in area = =
Increase % = = 125%
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 block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes.
Volume of the block = (6 x 12 x 15) = 1080
Side of the largest cube = H.C.F. of 6 cm, 12 cm, 15 cm
= 3 cm.
Volume of this cube = (3 x 3 x 3) = 27
Number of cubes = = 40.
Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed
Volume of new cube = =
Edge of new cube = = 9cm
Surface area of the new cube = ( 6 x 9 x 9) = 486
A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:
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