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
matrenka [14]
3 years ago
8

Metal Fabrication If an open box is made from a tin sheet 10 in. square by cutting out identical squares from each corner and be

nding up the resulting flaps, determine the dimensions of the largest box that can be made. (Round your answers to two decimal places.)
Mathematics
1 answer:
MrRa [10]3 years ago
6 0

Answer:

  • ength (l) : (10-2*5/3) = 20/3
  • width(w): (10 - 2*5/3) = 20/3
  • height(h): 5/3

Step-by-step explanation:

Let x is the side of identical squares

By cutting out identical squares from each corner and bending up the resulting flaps, the dimension are:

  • length (l) : (10-2x)
  • width(w): (10-2x)
  • height(h): x

The volume will be:

V = (10-2x) (10-2x) x

<=> V = (10x-2x^{2}) (10-2x)

<=> V = 100x -20x^{2} - 20x^{2} + 4x^{3}

<=> V = 4x^{3}  - 40x^{2} + 100x

To determine the dimensions of the largest box that can be made, we need to use the derivative and and set it to zero for the maximum volume

dV/dx = 12x^{2} -80x + 100

<=>  12x^{2} -80x + 100 =0

<=> x = 5 or x= 5/3  

You know 'x' cannot be 5 , because if  we cut 5 inch squares out of the original square, the length and the width will be 0. So we take x = 5/3

=>

  • length (l) : (10-2*5/3) = 20/3
  • width(w): (10 - 2*5/3) = 20/3
  • height(h): 5/3
You might be interested in
how do theme and tone work together? a. theme involves characters, and tone involves the historical context of those characters.
ahrayia [7]
Theme and tone work together in that B) theme is a poem's main idea, and tone is the writer's attitude toward that idea. 
4 0
3 years ago
80 POINTS!!!!!!
Lera25 [3.4K]
Plz dont be mean to me i just wanna understand and also its the blue line for answer 1
6 0
3 years ago
I will give Brainiest if you are right
dmitriy555 [2]

Answer:

The answer is $22.75! (A)

Step-by-step explanation:

All you have to do is subtract $36.50 by $13.75 and get the amount of the 2nd piggy bank.

22.75 + 13.75 = 36.50

8 0
3 years ago
The point,(-2,3) is a solution to the following system. y&gt;-2x-2 and y&lt; 3<br>true or false​
bija089 [108]

Answer:

false

Step-by-step explanation:

y>-2x-2

3>-2(-2) -2

3>4 -2

3>2

y< 3

3< 3

4 0
3 years ago
Read 2 more answers
Can someone help me with 19,20,and 21 will mark brainiest for the first answer and it has to be correct
Archy [21]
Do you need help with all of these?

3 0
3 years ago
Other questions:
  • I need help on this problem. Please help me.
    5·2 answers
  • alma is making 3 batches of tortillas. Each batch needs 3/4 cup of water. She only has a 1/4 cup measure. How many times must al
    10·1 answer
  • Help me ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!<br>What is the slope of this graph ​
    9·1 answer
  • Olivia is thinking of a number.She says, "My number is odd. It is a factor of 30 and a multiple of 3"
    13·2 answers
  • Complete the equation describing how x and y are related.<br> Please Help Me!!!
    7·2 answers
  • Can someone explain inequality using a word problem
    5·1 answer
  • Find the missing side length in the image attached.
    13·2 answers
  • Find the value of the lettered angles in each of the following ( see image ).
    8·2 answers
  • Will give brainiest help
    11·2 answers
  • PARTB
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!