Question

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

Answer 1

Ⲁⲛ⳽ⲱⲉⲅ:

• 27x³ + 54x² + 36x + 8

Ⲋⲟⳑⳙⲧⳕⲟⲛ :

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

⳨ⲟⲅⲙⳙⳑⲇ ⳙ⳽ⲉ∂ :

• ( a + b ) ³ = a³ + b³ + 3ab ( a + b )