On a rainy day, 60 cm of rain is recorded in a region. What is the volume of water collected in an open and empty rectangular water tank that measures 12 m (length) ×10 m (width) and 50 cm (depth)?

The ratio of the volume of a cube to that of a sphere which will fit inside the cube is

A prism with a right triangular base is 25 cm high. If the shorter sides of the triangle are in the ratio of 1 : 2 and the volume of the prism is 100 cm³ , what is the length of the longest side of the triangle?

The radius of a wire is decreased to one third. If volume remains the same, length will increase by :

The volume of a right rectangular pyramid is 220 m³. What is the height of the pyramid, if the area of its base is 55 m²? 

The base and altitude of a right angled triangle are 12 cm and 5 cm respectively. The perpendicular distance of its hypotenuse from the opposite vertex is

From a point within an equilateral triangle, perpendiculars drawn to the three sides, are 6 cm, 7 cm and 8 cm respectively. the length of the side of the triangle is:

The sides of a triangle are in the ratio 3 : 4 : 5. The measure of the largest angle of the triangle is