A bag contains 18 coins consisting of quarters and dimes. The total value of the coins is $2.85. Which system of equations can b
2 answers:
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Answer:
Side length = cm , Height =
cm , Volume =
cm³
Step-by-step explanation:
Assume
Side length of base = x
Height of box = y
total material required to construct box = A ( given in question)
So it can be written as
A = x² + 4xy
4xy = A - x²
Volume of box = Area x height
V = x² ₓ y
V = x² ₓ ( )
V =
To find max volume put V' = 0
So taking derivative equation becomes
A = 3
=
x =
put value of x in equation 1
y =
y =
y =
So the volume will be
V = × y
Put values of x and y from equation 2 & 3
V =
V =