Mensuration Set 4

Perimeter of a square and an equilateral triangle is equal. If the diagonal of the square is 10v2 cm, then find the area of equilateral triangle?

Length of a rectangular field is increased by 10 meters and breadth is decreased by 4 meters, area of the field remains unchanged. If the length decreased by 5 meters and breadth is increased by 7 meters, again the area remains unchanged. Find the length and breadth of the rectangular field.

If the length of the rectangle is increased by 20%, by what percent should the width be reduced to maintain the same area?

A cone whose height is half of its radius is melted to from a hemi-sphere. Find the ratio of the radius of the hemi-sphere to that of cone.

Find the number of spherical balls of radius 1 cm that can be made from a cylinder of height 8 cm and diameter 14 cm?

A rectangle whose sides are in the ratio 6:5 is formed by bending a circular wire of radius 21cm. Find the difference between the length and breadth of the rectangle?

A right circular cone is exactly fitted inside a cube in such a way that the edges of the base of the cone are touching the edges of one face of the cube and the vertex is on the opposite face of the cube. If the volume of the cube is 512 cubic cm. find the approximate volume of the cone?

if the radius of a cylinder is doubled and height is halved, what is the ratio between the new volume and the previous volume?

A rectangular garden is 30 meter long and 20 meter broad. It has 6 meter wide pavements all around it both on its inside and outside. Find the total area of pavements?

A slice from a circular pizza of diameter 14 inches is cut in a such a way that each slice of pizza has a central angle of 45