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
Describe and correct the error in finding the solution.​
yaroslaw [1]
The error is in step 2. if you are performing an operation on one side of the equation, it must be performed on the entire expression. you can’t only divide by 2 on one term, you must do it to everything in the equation. instead, you could add 6 to both sides first, giving you 2x = -4. Then you can divide by 2 on both sides. the answer is -2.
6 0
3 years ago
Halle has 10 times as many pages to read for her homework assignment as Janet altogether they have to read 264 pages how many pa
statuscvo [17]
Think of the equation as the 10 times as parts so if Halle read ten times as more than Janet then we do the equation 264/11 because we have to include Janet's part too so Janet read 24, one part of the total while Halle read 240, 10 parts of the total
7 0
3 years ago
Read 2 more answers
Please help me....asap
Ber [7]

Answer:

D) 18 freshman, 18 sophmores, 30 juniors, 30 seniors

Step-by-step explanation:

ratio given:

320 : 300 : 500 : 510

320 = 300 and 500 = 510

therefore ratio of 300 : 300 : 500 : 500

Ratio of 300 : 500 = 18 : 30

18 : 18 : 30 : 30

3 0
2 years ago
Read 2 more answers
Help help help help help help please​
joja [24]

{a}^{m}  \div  {a}^{n}  =  {a}^{m - n}

<h3>Explanation :</h3>

{a}^{m}  \div  {a}^{n}  =  {a}^{m - n}

{a}^{m}  \times  {a}^{n}  =  {a}^{m + n}

( {a}^{m}){}^{n}  =  {a}^{m  \times n}

3 0
2 years ago
Read 2 more answers
7x + 2 + 2x - 1 = 91
zhuklara [117]

Answer: 10

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • The physician orders 125 mg of a medication. on hand is a bottle that reads 500 mg/5ml. How much should the medical assistant ad
    13·1 answer
  • How many plywoods are in 1 square
    11·1 answer
  • A popular soft drink is sold in 2-liter (2000 milliliter) bottles. Because of variation in the filling process, bottles have a m
    15·1 answer
  • A and B can separately do a piece of work in 24 days and 16 days respectively. They worked together for 6 days, after which B wa
    5·1 answer
  • Needing some help, please ?(: &amp; Thank you ♥
    10·2 answers
  • If you bought a stock last year for a price of $77, and it has risen 17.9% since then, how much is the stock worth now
    10·1 answer
  • Which equation represents the graph of Charli's line? A. y= -3/4x-3. B. Y= 3/4x- 4. C. y = -4/3x- 4. D. y= 4/3x- 3. LOOK AT THE
    11·1 answer
  • Molly and Jacob are meeting at the pool to go swimming. The pool is 3.22 kilometers from Molly's house and 2.81 kilometers from
    7·1 answer
  • Pleaseee tell me if im right!! I already solved and my answer is 84 square units, but im not sure.. pleaseee help me
    6·2 answers
  • (x - 1)/(n - 1) + (2n ^ 2 * (1 - x))/(n ^ 4 - 1) = (2x - 1)/(1 - n ^ 4) - (1 - x)/(1 + n)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!