Summer school classes begin at 8:30 and last for two and a half hours. At what time
2 answers:
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Answer:
The dimensions of the box is 3 ft by 3 ft by 30.22 ft.
The length of one side of the base of the given box is 3 ft.
The height of the box is 30.22 ft.
Step-by-step explanation:
Given that, a rectangular box with volume of 272 cubic ft.
Assume height of the box be h and the length of one side of the square base of the box is x.
Area of the base is =
The volume of the box is = area of the base × height
Therefore,
The cost per square foot for bottom is 20 cent.
The cost to construct of the bottom of the box is
=area of the bottom ×20
cents
The cost per square foot for top is 10 cent.
The cost to construct of the top of the box is
=area of the top ×10
cents
The cost per square foot for side is 1.5 cent.
The cost to construct of the sides of the box is
=area of the side ×1.5
cents
cents
Total cost =
Let
C
Putting the value of h
Differentiating with respect to x
Again differentiating with respect to x
Now set C'=0
Now
Since at x=3 , C''>0. So at x=3, C has a minimum value.
The length of one side of the base of the box is 3 ft.
The height of the box is
=30.22 ft.
The dimensions of the box is 3 ft by 3 ft by 30.22 ft.
Answer: The correct option is
(E) 80,000.
Step-by-step explanation: Given that after adding 4,000 gallons of water to a large tank that was already filled to of its capacity, the tank was then at
of its capacity.
We are to find the number of gallons of water that the tank hold when filled to capacity.
Let the tank can hold x gallons of water when filled to capacity.
Then, according to the given information, we have
Thus, the required capacity of the tank is 80,000 gallons of water.
Option (E) is CORRECT.