Maths-
General
Easy
Question
The volume of a cube is calculated by multiplying length, width and height. What is the volume of the cube with side (3x+2)?
Hint:
- Volume of cube is given by (side)3.
- Volume of cube = (a)3
- Identity: (a + b)3 = (a)3 + 3ab (a + b) + (b)3
The correct answer is: Hence, Volume of cube = 27x3 + 54x2 + 36x + 8 cubic units.
Answer:
- Step by step explanation:
- Given:
Side of cube = (3x + 2)
- Step 1:
- Calculate the volume of cube:
Volume of cube = (a)3
Volume of cube = (3x+2)3
As,
(a + b)3 = (a)3 + 3ab (a + b) + (b)3
Therefore,
Volume of cube = (3x)3 + 3(3x) (2) [3x + 2] + (2)3
Volume of cube = 27x3 + 18x (3x + 2) + 8
Volume of cube = 27x3 + 54x2 + 36x + 8
- Final Answer:
Hence, Volume of cube = 27x3 + 54x2 + 36x + 8 cubic units.
- Given:
Therefore,
Volume of cube = (3x)3 + 3(3x) (2) [3x + 2] + (2)3
Volume of cube = 27x3 + 18x (3x + 2) + 8
Volume of cube = 27x3 + 54x2 + 36x + 8
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