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

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

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.

If the length, breadth, and height of a rectangular parallelopiped are equal, then the special name of this solid is ___.

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.

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.

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.

Find the ratio of the cost price and selling price of an article which is sold at 25% profit

If sinθ = √3 cosθ , Find the value of tanθ + cotθ

0.6 of income of A = 75% of income of B. Find the ratio of income of A and B

The mean of a frequency distribution is 7 and Σfx = 140, then find the value of Σf