The sum of the volume of three cubes is equal to 3 times the volume of a cuboid. Given that the edges of the three cubes are equal to the length, breadth and height of cuboid. Prove cuboid is itself a cube.

Cube a cuboid whose length breadth and height are all equal is called a cube.

The following question has three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. What is the ratio of the volume of the cube to the volume of the cuboid? I. The Total Surface Area of the cuboid is 352 cm2 and the ratio of the length, breadth and height of the cuboid is 3:2:1. II. The Total Surface Area of the cube is "726 cm"^2 . III. The length of the cuboid is 1.5 times of the breadth of the cuboid and 3 times of the height of the cuboid. The difference between the height and the length of the cuboid is 8 cm.

Ajith has made a cuboid by arranging cubes of 2 cm each. What is the length, breadth and height of the cuboid so formed?

The sum of the surface of a sphere and a cube is given. Prove that the sum of their volumes is least when the diameter of the sphere is equal to the edge of the cube.

The volume of a cuboid is twice the volume of a cube. If the dimensions of the cuboid are 9 cm, 8 c and 6 cm, the total surface are of the cube is :

The volume of a cuboid is 432 c.c. By melting it, to make two cube of equal volume. Find the each side of the cube,

The side of a cube is double the length of the cuboid. The breadth and height of the cuboid are half of its length. Find the ratio of the curved surface area of the cube to cuboid.

Dheeraj has a made a cuboid by arranging cubes of 3 cms each. Find the length, breadth and height of the following figures.