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
Free_Kalibri [48]
3 years ago
9

An open top box is to be made by a 24 in by 24 in. by 36 in. piece of cardboard by removing a square from each corner of the box

and folding up the flaps on each side. What size square should be cut out of each corner to get a box with the maximum volume?
Mathematics
1 answer:
galben [10]3 years ago
4 0

Answer:

X= -12 +6√10

X= 6.973

Step-by-step explanation:

Volume of the box= (36-2x)(24-2x)x

Volume of the box

=( 864 -96x -4x²)x

But 864 -96x -4x²

=216 - 24x-x²

Solving for x quadratically

X= (24+12√10)/-2

X= -12 -6√10

X= -30.97

Or

X= (24-12√10)/-2

X= -12 +6√10

X= 6.973

X will definitely be a positive number

So X= -12 +6√10

X= 6.973

You might be interested in
Combine like terms to create an equivalent expression.<br>-5.8c+4.2-3.1+1.4c​
ohaa [14]

Answer: I got

-4.4c+1.1

5 0
3 years ago
Why is the volume of a cone 1/3 the volume of a cylinder if the height and the radius are equal
baherus [9]

Answer:

Step-by-step explanation:

<h2>88</h2>
6 0
2 years ago
Please help me calculation completing square?<br>x²+2x-24=0?​
Anna11 [10]

Answer:

x = 4, -6

Step-by-step explanation:

x = 4, -6

5 0
3 years ago
What is 54 percent as a fraction in simplest form
atroni [7]
54% is 54 out of 100.
There for the numerator is 54 and the denominator is 100.

\frac{54}{100}

Now, both the top and the bottom can be divided by 2. So:

\frac{54~divided~by~2}{100~divided~by~2} = \frac{27}{50}

\frac{27}{50} can't be simplified anymore, therefore, 27/50 is 54% as a fraction.

~Hope this helped :)
6 0
3 years ago
Read 2 more answers
Does this graph represent a function? why or why not?
masha68 [24]

Answer: D

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • Chris has 2 pairs of black socks, 4 pairs of red socks, and 18 pairs of white socks in a dresser drawer. If he reaches in his
    12·2 answers
  • Determine which of the following are equivalence relations and/or partial ordering relations for the given sets: A = { lines in
    11·1 answer
  • What would the sum of -18-(-12) be?
    6·2 answers
  • The football team has a total of 20 jerseys. There are 4 medium-sized jerseys. What percent of the jerseys are medium-sized jers
    7·2 answers
  • I NEED HELP can anyone help me, please??
    14·2 answers
  • The first term of an Ap are x, 2x +1, and 5x+1 Find<br> x and the sum of the<br> l0 terms<br> first
    5·1 answer
  • 2 6/8 in simplest form
    6·1 answer
  • Can someone pls help
    15·2 answers
  • A sample of 20 joint specimens of a particular type gave a sample mean proportional limit stress of 8.56 MPa and a sample standa
    15·1 answer
  • BRAINLIEST <br> Can I get some help on this
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!