If a teacher divides a material of volume 27x^3 + 54x^2+ 36x + 8 cubic units among 3 students . is it possible to find the quantity of the material? Can u name he shape of the figure the teacher obtained? Which value is depicted by teacher?
Answers
Answer:
Cube
Step-by-step explanation:
If a teacher divides a material of volume 27x^3 + 54x^2+ 36x + 8 cubic units among 3 students . is it possible to find the quantity of the material? Can u name he shape of the figure the teacher obtained? Which value is depicted by teacher?
27x³ + 54x² + 36x + 8
= (3x)³ + 3(3x)²2 + 3(2)²3x + 2²
= (3x)³ + 2³ + 3(3x)²2 + 3*3x(2)²
a³ + b³ + 3a²b + 3ab² = (a + b)³
a = 3x b = 2
= (3x + 2)³
= side³
Volume is of a cube
As it has to be divided between 3 students so it should be divisible by 3
=> 3x + 2 should be divisible by 3
3x +2 = 3n
One possible value
is 3x + 2 = 3
=> x = 1/3
Using x = 1/3
27x³ + 54x² + 36x + 8 = 1 + 6 + 12 + 8 = 27
Using x = 4/3 => volume = 216
Answer:
volume of the cube . The value is depicted by the teacher