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2 years ago

The volume of a cube is calculated by multiplying the length, width, and height. What is the volume of this cube?

Mathematics

1 answer:

mart [117]2 years ago

6 0

27x³ + 54x² + 36x + 8

<h3>Ⲋⲟⳑⳙⲧⳕⲟⲛ :</h3>

Volume of a cube is calculated by multiplying it's length, width and height

But, in a cube all the sides are equal. Therefore, the values of length, width and height of a cube are same .

➲ Now, calculating the volume of given cube:

‎➙ V = length × width × height

‎➙ V = ( 3x + 2 ) × ( 3x + 2 ) × ( 3x + 2 )

➙ V = ( 3x + 2 )³

➙ V = ( 3x )³ + ( 2 ) ³ + 3 ( 3x ) ( 2 ) ( 3x + 2)

➙ V = 27x³ + 8 + 18x ( 3x + 2 )

➙ V = 27x³ + 8 + 54x² + 36x

➙ V = 27x³ + 54x² + 36x + 8 

<h3>⳨ⲟⲅⲙⳙⳑⲇ ⳙ⳽ⲉ∂ :</h3>

( a + b ) ³ = a³ + b³ + 3ab ( a + b )

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