The volume for the largest box will be 1.056 foot³. This can find out by application of differentiation.
What is AOD?
AOD is nothing but application of differentiation. It implies scopes where we can use differentiation to make our calculations easy.
Here, given
Length and breadth = 2,3 foot
Let us consider length of side of square = x
So, after cutting squares left sides of rectangular sheet = 2-2x , 3-2x
So, volume = (2-2x)*(3-2x)*x
v = 4x³ - 10x² + 6x
To find largest volume ,
= 0
= 12x² - 20x + 6
12x² - 20x + 6 = 0
x = 0.4 , 1.3
But, for 1.3 volume will be negative i.e. not possible.
So, volume = 2.2*1.2*0.4
= 1.056 foot³
Learn more about differentiation from given link:
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Answer
The most people you can invite with no more than $240, is 16 people.
Step-by-step explanation:
6x+140=240
6x = 100
x = 16.6666667
Therefore
x = 16.
Answer:
k = 7.3333333 ...
You can round accordingly of write the fraction form
Step-by-step explanation:
4/k = 6/11
6 ÷ 4 = 1.5
11 ÷ 1.5 = 7.3333333 ... (repeating)
4/7.333 = 6/11
Equiangular. They are all 90 degrees but they don’t have the same length of sides so they are equiangular meaning equal angles.
1/2 ÷ 1/2
= 1/2 ÷ 2/1
= 1/2 × 2/1
= 2/2
= 1