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When the side length of a cube is expanded by three times, how many times is its volume expanded?
The side length of the cube is expanded by 3 times and the volume is expanded by 27 times.

Side length generally refers to the side length, which refers to the length of each side of a plane figure. Technical terms of volume and geometry. When the space occupied by an object is a three-dimensional space, the size of the space occupied is called the volume of the object. The international unit of volume system is cubic meters. One-dimensional space objects (such as straight lines) and two-dimensional space objects (such as squares) are all zero volumes.

China, the first mathematician in the world who worked out the correct formula for calculating the volume of a sphere, was Zu Chongzhi in the Southern Dynasties, about a thousand years earlier than Europeans. He also carefully studied the art of calculating the sky and perfected the calendar of the Ming Dynasty. After his repeated requests, it was officially promulgated on 5 10. He also made bronze sundials (an instrument for measuring the time from the shadow of the sun), clepsydra and other precision observation instruments, which were adopted by later generations.

Volume formula is a formula for calculating volume, that is, a mathematical formula for calculating the volume of various geometric shapes. Calculate various planes and surfaces. Generally speaking, geometry is a mathematical formula of the volume of a graph composed of faces, intersection lines (intersection points of faces) and intersection points (intersection points of intersection lines or convergence points of surfaces).

Cubes generally refer to hexahedrons, which are three-dimensional figures surrounded by six identical squares. A regular hexahedron is a straight parallelepiped with square sides and bottom, which is a hexahedron with equal sides. A regular hexahedron is a special cuboid. The dynamic definition of a regular hexahedron is a three-dimensional figure obtained by translating the side length of a square in the direction perpendicular to the plane of the square.

The following triangles, rectangles, squares, pentagons, equilateral pentagons, equilateral hexagons, equilateral hexagons, diamonds and trapezoid can be obtained by cutting a cube with a plane:

1, triangle: the diagonal line passing through a vertex and the opposite straight line.

2. Rectangle: Passing through two opposite sides or an edge.

3. Square: parallel to a surface.

4. Pentagon: passing through points on four sides and a vertex or points on five sides.

5. Hexagon: Points on six sides.

6. Regular hexagon: passing through the midpoint of six sides.

7, diamond: through the relative vertex.

8. Trapezoid: parallel lines with different lengths crossing two opposite faces.