Mathematics

Question

Cube 1 has a volume of c3. The side lengths of Cube 2 are three units longer than those of Cube 1. What is the volume of Cube 2? (c + 3)3 3c3 (3c)3 3 + c3

1 Answer

  • Volume of a Cube:  
    Since all of the edges of a cube are of equal length, there is no need to differentiate between the length, width and height.  The volume of a cube is determined by multiplying the length of three edges of the cube.  Let "a" define the length of an edge of the cube.  

    Then the volume formula is defined as:

    V = a × a × a
    This formula is also written as V = a³.

    If a = 5 feet, then the volume is found like this:

    V = (5)³ = 5 × 5 × 5 = 125:  Since each value is a measurement of feet, the volume is therefore 125 cubic feet. 

    Example 1: Find the volume of a solid cube shape box whose side is 13m.
    Solution: 
    Given that: side a = 3m
    Volume of the cube is therefore:

    V = a³
    V = 13³
    V = 2197 m3

    Example 2: Find the measure of volume of a cube for the given side length is 20 inches?
    Solution: 
    Given that: Side a = 20 inches
    Volume of the cube is therefore:

    V = a³
    V = 20³
    V = 8000 in3
    Therefore, volume of a cube is 8000 in3.


    Example 3: Find the volume of a cube for the given side length 12.5 meter?
    Solution: 
    Given that: Side a = 12.5 m
    V = a³
    V = 12.5³
    V = 1953.125 m3
    Therefore, the volume of the cube is 1953.125 cubic meter.
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