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
Kazeer [188]
3 years ago
8

An artist cuts 4 squares with side length x ft from the corners of a 12 ft-by-18 ft rectangular piece of sheet metal. She bends

up the sides and
welds the comers to form a rectangular garden fountain that is x ft high. Write and simplify a function for the volume of the fountain in terms
of x.
V(x) =
x+
x+

Mathematics
1 answer:
Kruka [31]3 years ago
8 0

Answer:

V=4x^3-60x^2+216x

Step-by-step explanation:

<u>Volume And Function s</u>

Geometry can usually be joined with algebra to express volumes as a function of some variable. The volume of a parallelepiped of dimensions a,b,c is

V=abc

Our problem consists in computing the volume of a box made with some sheet of metal 12 ft by 18 ft. The four corners are cut by a square distance x as shown in the image below .

If the four corners are to be lifted and a box formed, the base of the box will have dimensions (12-2x)(18-2x) and the height will be x. The volume of the box is

V=x(12-2x)(18-2x)

Operating and simplifying

V=4x^3-60x^2+216x

You might be interested in
Write the sum of 18 + 27 as the product of their GCF and another sum <br><br> (PLEASE HELP)
nikdorinn [45]
27
18
----
45

GCF of 45 = 15 
Here is a word document on Greatest Common Factors and how to solve it.

Download docx
4 0
3 years ago
Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches
katen-ka-za [31]

Answer:

Step-by-step explanation:

If you add the lengths of two sides, 12 and 14, you will get 28. Using the above theorem, the third side cannot be greater than or equal to 28. Therefore, the greatest possible whole-number length of the unknown side is 27.

4 0
2 years ago
Which equation represents the line that has a slope of 1/2<br> and contains the point (0, 3)?
RideAnS [48]
Y - 3 = 1/2 (x) ......
4 0
3 years ago
Read 2 more answers
What is the measure of x, given that figure ABCD is a rhombus.
dsp73
The answer would be d 
5 0
3 years ago
Can someone solve this?
noname [10]

Answer:

\frac{5}{6}, \frac{5}{6}, and "Yes"

Step-by-step explanation:

   We will do as the instructions say.

-> See attached.

5 0
2 years ago
Other questions:
  • A taxi service charges a flat fee of $1.25 and $0.75 per mile. if henri has $14.00, which of the following shows the number of m
    5·1 answer
  • A ball on a string moves around a complete circle, once a second, on a frictionless, horizontal table. The tension in the string
    5·1 answer
  • 816,148 rounded to the nearest thousands
    11·1 answer
  • Identify the solution of each equation from the list given.
    12·2 answers
  • Can someone help me?
    6·1 answer
  • I really need help on this please no clue
    11·1 answer
  • Which expression correctly represents “three less than the product of a number and two, increased by five”?
    11·2 answers
  • I need help to figure this out.
    8·2 answers
  • If x= 3-2^2 then find the value of x^2+1÷x^2​
    15·1 answer
  • Card 7 * Caleb can ride his bike 30 miles in 2 hours. At this rate, how long will it take him to ride 75 miles?​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!