Half of a cuboidal water tank with length of 2.1 m and breadth of 1.5 m is filled with water. If 630 liters of water is poured into the tank, then calculate the increased height of water.

The length of the diagonal of a cube is 4√3 cm. Calculate the total surface area of the cube.

If x be the number of edges of a parallelepiped and y be the number of surfaces then for what least value of a, (x + y + a) is a perfect square?

Length of diagonal of a cube is 3 √3 cm. Find the volume of the cube.

The length of the diagonal of each face of a cube is 6√2 cm. Find the total surface area of the cube.

The inner length, breadth, and height of a tea box are 7.5 dm, 6 dm, and 5.4 dm respectively. If the weight of the box filled with tea is 52 kg 350 gm, but in the empty state, its weight is 3.75 kg, then calculate the weight of 1 cubic dm of tea.

The sum of length, breadth and height of a cuboid is 10 cm and the length of the diagonal is √32 cm. Find the area of the surfaces of the cuboid.

If 75 buckets of water of equal measure are taken out from the water of a cubical water-filled-tank, then th of the water remains in the tank. If the length of one edge of the tank is 1.5 metres, then calculate the quantity of water in litre that can be held in each bucket.

State True/False: “The equal chords of a circle are at equal distances from the centre of the circle.”

Write a difference between the geometric angle and trigonometrical angle.

Find the value of angle in degree made by the tangent of a circle with the radius of that circle at the point of contact

Mode = 2 × Median – 3 × Mean.