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
adoni [48]
1 year ago
13

An open-top rectangular box with square base is to be made from 100 square feet of material, as shown.

Mathematics
1 answer:
-Dominant- [34]1 year ago
4 0

The largest possible volume of the given box is; 96.28 ft³

<h3>How to maximize volume of a box?</h3>

Let b be the length and the width of the base (length and width are the same since the base is square).

Let h be the height of the box.

The surface area of the box is;

S = b² + 4bh

We are given S = 100 ft². Thus;

b² + 4bh = 100

h = (100 - b²)/4b

Volume of the box in terms of b will be;

V(b) = b²h = b² * (100 - b²)/4b

V(b) = 25b - b³/4

The volume is maximum when dV/db = 0. Thus;

dV/db = 25 - 3b²/4

25 - 3b²/4 = 0

√(100/3) = b

b = 5.77 ft

Thus;

h = (100 - (√(100/3)²)/4(5.77)

h = 2.8885 ft

Thus;

Largest volume = [√(100/3)]² * 2.8885

Largest Volume = 96.28 ft³

Read more about Maximizing Volume at; brainly.com/question/1869299

#SPJ1

You might be interested in
5x+3-2x-2=4 solve for x
mrs_skeptik [129]

Answer:

x=1

Step-by-step explanation:

(5x+−2x)+(3+−2)=4

3x+1=4

3x=3

x=1

6 0
3 years ago
Read 2 more answers
2x-y&lt;-3
timama [110]

Answer:

y > 2x + 3

Step-by-step explanation:

Okay, first let's simplify the equation by understanding the form.

y = mx + b is the form.

Currently we have 2x - y < -3, So we can subtract 2x on both sides to get

-y < -2x - 3

Let's multiply each term by -1 to get

y < 2x + 3, but wait! We have to flip the sign!

The answer is :

y > 2x + 3

5 0
3 years ago
Help me on this please
SIZIF [17.4K]

The answer is 3214

3 is equivelant to 0.74

2 is equivelant to 0.88...

1 is equivelant to 7

4 is equivelant to 8

5 0
3 years ago
0.7 is 10 times as much as
Neko [114]
0.7 is 10 times as much as 0.70
3 0
3 years ago
Somebody please help me
Olenka [21]
3p < 12
  p < 4
and
-3p < 12
   p > -4

answer
-4< p < 4
It's C. third  one
5 0
3 years ago
Other questions:
  • What is 6 1/6 as a Decimal Please!
    8·2 answers
  • Estimates 63824+29452
    9·2 answers
  • A rug is to be centered in a room so that the border around it is of a consistent width on all four sides. If the room is 10 ft
    5·1 answer
  • A store spends 30% of its budget on maintenance. its yearly budget is $150,000.how much is spent on maintenance?
    9·2 answers
  • Which equation describes the circle having center point (3,7) and the radius r=4 in Standard form
    5·1 answer
  • What is the correct order of steps to change 4x+2y=14 from standard form to slope intercept form
    5·2 answers
  • Suppose that the probabilities of a customer purchasing​ 0, 1, or 2 books at a book store are 0.20.2​, 0.20.2​, and 0.60.6​, res
    15·1 answer
  • How much would $500 invested at 5% interest compounded monthly bw worth after 4 years? round your answer to the nearest cent
    7·1 answer
  • Use the drop-down menus to complete the statements.
    9·2 answers
  • ...
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!