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
Scilla [17]
3 years ago
5

A cookie company packages its cookies in rectangular prism boxes designed with square bases that have both a length and width of

4 inches less than the height of the box. Find the dimensions of the box if its volume is 128 cubic inches.
Mathematics
1 answer:
Verdich [7]3 years ago
7 0

Answer:

length and width=4

height=8

Step-by-step explanation:

Hello to solve this problem we must propose a system of equations of 3x3, that is to say 3 variables and 3 equations.

Ecuation 1

Leght=Width

.L=W

Ecuation 2

To raise the second equation we consider that the length and width of 4 inches less than the height of the box

H-4=W

Ecuation 3

To establish equation number 3, we find the volume of a prism that is the result of multiplying length, width, and height

LxWxH=128

From ecuation 1(w=h)

HW^2=128

solving for  H

H=\frac{128}{W^2}

<em />

<em>Using ecuation 2</em>

H-4=W

\frac{128}{W^2}-4=W\\W^3+4W^2-128=0

Now we find the roots of the equation, 2 of them are imaginary, and only one results in 4

W=4in

L=4in

to find  the height we use the ecuation 2

H-4=W

H=4+W

H=4+4=8

H=8IN

You might be interested in
What is the surface area?
Alina [70]

The top is 4ft by 2 ft, area = 4 * 2=8 square feet.

The back is 1 1/2 ft by 4 feet, area = 1.5 *4 = 6 square feet.

The bottom equals the top = 8 square feet.

The front equals the back = 6 square feet.

The left side is 1 1/2 ft by 2 ft = 2 * 1.5 = 3 square feet.

The right side equals the left side = 3 square feet.


Total area = 8 + 6 + 8 + 6 + 3 + 3 = 34 square feet


5 0
3 years ago
Read 2 more answers
If a=3/6 and b=-3/-5 find -3a+4b
Fiesta28 [93]

Answer:

Step-by-step explanation:

-3(3/6) + 4(3/5)

-3(1/2) + 4(3/5)

-3/2 + 12/5

-15/10 + 24/10

9/10

7 0
3 years ago
Can y’all plz help thx
astraxan [27]
The answer: 17 degrees
7 0
3 years ago
How many possible combinations of 6 numbers?
enot [183]
 9*8*7*6*5*4 = 60480. Hope this helps !!!!!!!!!!!!!!!!!!!1
8 0
3 years ago
F(4) if f(x) = 3x - 1
Romashka-Z-Leto [24]
beeeeeeeeeeeeeeep hope it helps
5 0
3 years ago
Read 2 more answers
Other questions:
  • How do i answer this question and where do i put the line
    11·1 answer
  • A number is multiplied by 3. if 2 is added to the product you get 17. what is the number
    7·1 answer
  • Ivan's gas tank is 1/3full. After he buys 13 gallons of gas, it is 5/6 how many gallon can Ivan's tank hold ?
    15·1 answer
  • Which is the closest approximation to the area of the circle?
    13·2 answers
  • Could someone tell me the answer pls Thankss alot
    13·2 answers
  • The store has 28 notebooks in packs of 4 three packs of notebooks are sold how many packs of notebooks are left
    15·1 answer
  • Manuel borrowed $1,500 from his bank and signed a
    14·1 answer
  • Some values of the exponential function f (x ) are shown in the table, where m and n are real numbers.
    10·1 answer
  • on an air Indian flight there are 9 boys 5 indian children, 9 men, 7 foreign boys 14 indians, 6 indian male and 7 foreign female
    13·1 answer
  • A sweater priced at $34.99 is on sale for 25% off. Find the cost with 7.5% sales tax.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!