Find the center of mass(x,y,z) of the following structure of four identical cubes if the length of each side of a cube is 1 unit.

Find the length of each side of a cube if its volume is 512 cm^3 .

Length of a side of a cube is 5 unit, find its total surface.

A Rubik's cube of edge 3 cm is formed with 27 identical cubes. Find the edge of each identical cube.

A cube is a three-dimensional figure as shown in the given figure. It has six faces and all of them are identical squares. The length of an edge of the cube is given by 1. Find the formula for the total length of the edges of a cube.

Direction: Read the following Caselet DI carefully and answer the following questions. 3 cubes P, Q, and R are cut from the cubes A, B, and C respectively. The length of the side of cube P is given by the equation x - 12x + 36 = 0 and the length of the side of cube A is 2 cm more than cube P. The length of the side of cube Q is given by the equation y + 21y - 46 = 0 and the length of the side of cube B is 3 cm more than cube Q. The length of the side of cube R is given by the equation z - 10z + 25 = 0 and the length of the side of cube C is 4 cm more than cube R. Here x, y, and z are in centimeter. The average length of side of cube P, B, and C is how much percent more or less than the average length of side of cube A, Q, and R?

Direction: Read the following Caselet DI carefully and answer the following questions. 3 cubes P, Q, and R are cut from the cubes A, B, and C respectively. The length of the side of cube P is given by the equation x - 12x + 36 = 0 and the length of the side of cube A is 2 cm more than cube P. The length of the side of cube Q is given by the equation y + 21y - 46 = 0 and the length of the side of cube B is 3 cm more than cube Q. The length of the side of cube R is given by the equation z - 10z + 25 = 0 and the length of the side of cube C is 4 cm more than cube R. Here x, y, and z are in centimeter. From the given cubes, which two cubes have equal side length?

Direction: Read the following Caselet DI carefully and answer the following questions. 3 cubes P, Q, and R are cut from the cubes A, B, and C respectively. The length of the side of cube P is given by the equation x - 12x + 36 = 0 and the length of the side of cube A is 2 cm more than cube P. The length of the side of cube Q is given by the equation y + 21y - 46 = 0 and the length of the side of cube B is 3 cm more than cube Q. The length of the side of cube R is given by the equation z - 10z + 25 = 0 and the length of the side of cube C is 4 cm more than cube R. Here x, y, and z are in centimeter. What is the ratio of total surface area of cube P to total surface area of cube C?