The sides of a triangular plot are in the ratio of 3:5:7 and its perimeter is 300 m. Find its area.

If the perimeter of a square is doubled, then its area becomes

A square tank holds 15,000 litres of water. If its depth is 2.5 m, find the length of one side of its base.

A triangle ABC with sides 3 cm, 4 cm and 5 cm is revolved about the side 3 cm. Find the volume of the solid so obtained. (Use π = 3.14)

A square park has an area equal to the area of a rectangle whose length exceeds its breadth by 9 m and the breadth is half the side of the square. Find the side of the square.

A cylindrical water tank has a base radius of 7 m and a height of 10 m. Water is filled into the tank at a constant rate. After filling the tank completely, 5% of the water leaks out due to a crack at the bottom. The remaining water is transferred into another cylindrical tank whose base radius is 5 m. Find the height of water in the second tank.

If the areas of three adjacent faces of a cuboid are x, y, z square units, respectively, then the volume of the cuboid is:

A solid cube of 4 inches has been painted red, green and black on pair of opposite faces. It has been cut into one inch cubes. How many cubes will have only two faces painted?

A cube is painted on all faces and then cut into 27 smaller cubes of equal sizes. How many smaller cubes have exactly two faces painted ?

A solid is in the shape of a cone mounted on a hemisphere. The radius of each is 6 cm and the total height of the solid is 14 cm . Find the surface area of the solid.

The sides of a triangular plot are in the ratio of 3:5:7 and its perimeter is 300 m. Find its area.