The volume of a cuboid is polynomial P() =8^3 + 12^2 − 2 − 3. Find possible
expressions for dimensions of the cuboid.
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The volume of a cuboid is polynomial P() =8^3 + 12^2 − 2 − 3. Find possible
expressions for dimensions of the cuboid.
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Step-by-step explanation:
Given Question:-
The volume of a cuboid is polynomial P() =8^3 + 12^2 − 2 − 3. Find possible expressions for dimensions of the cuboid.
Correct Question :-
The volume of a cuboid is polynomial
P(x) = 8x³ + 12x² - 2x - 3. Find possible the
expressions for dimensions of the cuboid.
Solution :-
Given that :-
The volume of a cuboid is
P(x) = 8x³ + 12x² - 2x - 3
It can be written as
=> P(x) = 4x²(2x+3) -1 (2x+3)
=> P(x) = (2x+3)(4x²-1)
It can be written as
=> P(x) = (2x+3)[(2x)²-1²]
=> P(x) = (2x+3)(2x+1)(2x-1)
Since (a+b)(a-b) = a²-b²
Where a = 2x and b = 1
We know that
Volume of a cuboid = lbh cubic units
=> lbh = (2x+3)(2x+1)(2x-1)
Therefore the dimensions are (2x+3) , (2x+1) and (2x-1)
Answer:-
The possible dimensions of the cuboid for the given problem are (2x+3) , (2x+1) and (2x-1)
Used formulae:-