The measure of the side of the cube is 4 centimeters, and its dimensions are 4 centimeters × 4 centimeters × 4 centimeters.
A cube is a solid object in three dimensions with six square faces that all have the same length of sides. Six square faces, eight vertices, and twelve edges make up the form. Since the 3D figure is a square with equal-length sides, the length, breadth, and height of a cube are all the same measurement. The edge, which is regarded as the bounding line of the edge, is the shared border between the faces of a cube. Each face is connected to four vertices and four edges, three vertices are connected to three edges and three faces, and two vertices and two edges are in contact to create the structure.
A cube's volume is the amount of space it takes up. Finding the cube of the cube's side length will provide the volume of the cube.
Cube volume equals a³, where a is the length of a cube's side.
In the question, we are asked to find the dimensions of the cube, given that it holds 64 cubic centimeters of water.
If the cube holds 64 cubic centimeters of water, then we know that the cube's volume is 64 cubic centimeters.
Assuming the length of the side of the cube to be centimeters, we can say that a³ = 64, knowing that a cube volume equals a³, where a is the length of a cube's side.
Thus, we have a³ = 64,
or, a = ∛64,
or, a = 4.
Thus, the measure of the side of the cube is 4 centimeters, and its dimensions are 4 centimeters × 4 centimeters × 4 centimeters.
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