The edge of a cube is 9.8 cm. Find the volume of a cube.

A cube (hexahedron) is a regular polyhedron, each face of which is a square. A special case of a rectangular parallelepiped and a prism.

Designation: V – cube volume, a – cube edge.
Given: a = 9.8 cm.
Find: V.
Solution:
Since a cube is a special case of a rectangular parallelepiped, its volume is also calculated as the product of three dimensions (length, height and width), which are the same for the cube, therefore: V = a * a * a = a ^ 3.
V = 9.8 ^ 3 = 9.8 * 9.8 * 9.8 = 941.192 (cm ^ 3).
Answer: 941.192 cm ^ 3.



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