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
Ne4ueva [31]
3 years ago
15

An engineer needs a metal box to shield sensitive electronic devices from external electric fields. One side of the box should b

e open so that it can be placed over the components. The box can be made from a 6 ft by 4 ft sheet of metal by cutting squares from the corners and folding up the sides.
a. What is the maximum volume of the box?

b. What dimensions of the box result in the maximum volume?

Mathematics
1 answer:
Murljashka [212]3 years ago
6 0

Answer:

a. 8.4 ft³

b. 4.44 ft × 2.44 ft × 0.78 ft

Step-by-step explanation:

a. <em>Maximum volume </em>

We are creating a box with dimensions

l    = 6 – 2x

w = 4 – 2x

h = x

V = lwh  = x(6 – 2x)(4 – 2x)

We must determine the value of x that makes V a maximum.

One way is to plot the function V = x(6 – 2x)(4 – 2x).

The maximum appears to be at about (0.78, 8.4).

Thus, the maximum volume is 8.4 ft³.

b.<em> Dimensions </em>

 l = 6 – 2 × 0.78 = 6 – 1.56 = 4.44 ft

w = 4 – 2 × 0.78 = 4 – 1.56 = 2.44 ft

                                         h = 0.78 ft

The box with maximum volume has dimensions 4.44 ft × 2.44 ft × 0.78 ft.

You might be interested in
HEEEEEELP MEEE PLEASEEEE ;(
BaLLatris [955]

If There is a math equation you can use math-way.

Also it would help if you can take a better picture.

Once you take a better picture I promise i will try my best to answer the question.

7 0
3 years ago
Read 2 more answers
Please help i will give brainliest
zepelin [54]

Answer:

[y]

-16

-12

0

12

16

Step-by-step explanation:

Put the x value in the equation to find your answer

4 0
2 years ago
Read 2 more answers
A scale model of a tiger measures 1.5 feet long. The Tigers actual length is 9 feet. What is the scale of the model?
seraphim [82]
The\ scale\ of\ the\ model\ =  \frac{A\ scale\ model\ of\ a\ tiger}{The\ tiger's\ actual\ length} =  \frac{1.5}{9} =1:6
6 0
3 years ago
Find the sum of the polynomials.
Minchanka [31]
(X+5)+(2y+4x-2)
X+5+2y+4x-2
5x+2y+3
Hope this helps!
6 0
3 years ago
Adam riese developed the signs + and - as mathematical operations what is the title of the work that introduced them?
Phoenix [80]

The title of the work introduced is Rechnung nach der lenge/auff den Linien und Feder.

<h3>What are mathematical operations?</h3>

In mathematics, an operation is a function that takes zero or more input values to a well-defined output value.

Adam Riese developed the signs + and - as mathematical operations and the title of the work introduced is Rechnung nach der lenge/auff den Linien und Feder.

Learn more about operations on:

brainly.com/question/20408113

#SPJ1

7 0
2 years ago
Other questions:
  • Two linear are parallel if and only if their slopes are
    10·1 answer
  • Combine and simplify the third set of terms 2+15a-2
    6·1 answer
  • A new truck that sells for $25,000 depreciates (decreases in value) 11% each year. What will be the value of the truck in 2 year
    7·2 answers
  • Simplify, and list any restrictions on the variable: (2x(x-4)/(4x^2-64)
    6·1 answer
  • In the first section ("The CSI effect defined"), do the authors ever give you their opinion on the CSI effect? How do they suppo
    13·1 answer
  • Mark made a scale drawing of a soccer field, using a scale of .5 cm=1m. The actual length of the field is 110 m. What is the len
    7·1 answer
  • If f(x) = 62.7"), what is 13)?
    5·1 answer
  • Fill in the blank
    12·1 answer
  • Find the slope of the graph
    6·2 answers
  • A candy bar box is in the shape of a triangular prism. The volume of the box is 3,240 cubic centimeters. A triangular prism is s
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!