1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aliya0001 [1]
3 years ago
10

An open-top box is being designed by cutting a corner piece out of a 16" by 14" piece of metal and folding the sides upwards. Th

e designer wants to maximize the volume of this box. Enter the maximum volume of this box (rounded to the nearest cubic inch). in3
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
7 0

Answer:

The strip of 16 by 14 inches.

Let x be the corner of the square cut

Then the box would have height as x, length 16-2x and width 14-2x

Hence volume =  

Use derivative to test to find x for maximum volume

V'(x) =  

v"(x) =  

Equate first derivative to 0

Solutions are

x= 2.483 and x = 7.517

Practically cutting more than 7 inches is not possible from 14 inches dimention

Hence 2.483 is the side of square and maximum volume

= 247.508

Step-by-step explanation:

Hope this helps!

You might be interested in
In the fraction 15⁄7, which of the following is 15? Numerator Divisor Denominator Factor
Colt1911 [192]

Answer is Numerator.

In a fraction, the denominator is on the bottom and the numerator is on top. A factor is a number, when multiplied with another number, that equals the final product. For example: 1, 2, 3, 6, 9, 18 are all factors of 18. A divisor is something you are dividing by in a division problem.

3 0
2 years ago
Find the equations for the lines through the point (a,
ozzi
The slope of the perpendicular line  is -1/m.

it passes through the point (a,c) therefore:-

y - c = -1/m(x - a)

y  = -1/m x + a/m + c  answer


Parallel line:-

c = m(a) + b
b = c - ma

y = mx + c - ma    Answer
4 0
2 years ago
The ratio of 6 hours and 48 minutes in simplest form is (I need this quickly)
julsineya [31]
The gcf of both 6 and 48 is 6. So, in simplest form, the ration would be: 1:6 or 1 hour:6 minutes :)
7 0
2 years ago
Megan surveyed a random sample of 60 students at her school and found that 42 of them ride the bus to school each day. if there
Dmitry_Shevchenko [17]
42/60, x/320. 320/60=5.33333, 42*5.33333=224. So, about 224 students would ride the bus.
4 0
2 years ago
Solve for x<br> solve for x<br> solve for x
Feliz [49]

Answer:

x = 64

Step-by-step explanation:

looking at the other sides, you find that each side had just been doubled.

4 0
2 years ago
Read 2 more answers
Other questions:
  • it cost $6 to join an online DVD club and $2.50 to rent each DVD. write an equation for the relationship that shows the total co
    12·2 answers
  • The garcia family bought a house for $53575. They made a down payment of 20%. How much was the down payment
    12·1 answer
  • Perfume can be purchased in a 0.6-ounce bottle for $18 or in a 2-ounce bottle for $50. The difference in price per ounce is? HEL
    9·1 answer
  • Jack wants to fill a rectangular box with sand. The length of the sand box is 3 feet, width is 6 inches, and height is 2.4 inche
    9·2 answers
  • Arithmetic sequence for -1 -6 -11 -16 expression
    13·2 answers
  • Given: g(x) = Vx – 4 and h(x) = 2x - 8.<br> What is g(h(10))?
    14·2 answers
  • Which of the lines below is parallel to a line with a slope of three and Y intercept at (0, 3)
    12·2 answers
  • Please help idw to repeat
    7·2 answers
  • You were assigned 20 practice problems. You completed 5 problems. What fraction of the assigned problems do you have left?
    12·2 answers
  • Which of the following numbers is NOT a solution of the inequality: 6x + 11 &gt; 7x - 2?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!