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
Lunna [17]
3 years ago
14

Jason is packing a large box with smaller shoe boxes. The larger box has a volume of 5832 cubic inches. Each shoebox measures 12

in x 6in x 5in. About how many shoeboxes will Jason be able to fit in the large box?
Mathematics
1 answer:
neonofarm [45]3 years ago
3 0
Volume of large box = 5832 in^3
Volume of shoe box = 12*6*5=360 in^3

Maximum number of shoe boxes that might fit in the large box 
= 5832/360 = 16.2, or 16.

However, we have to verify the dimensions to make sure each side fits.
For example, if the large box is 18x18x18=5832 in^3,
then we can only fit, along each dimension:
18/12=1.5 => 1 (6 inches remaining)
18/6=3     => 3 (0 inches remaining)
18/5=3.6  => 3 (3 inches remaining)
That make 9 boxes.
However, we still have a gap of 6 inches that we can fit shoe boxes vertically, i.e.
6/6=1 row
18/12=1 row
18/5 = 3 rows
That will fit 3 more boxes for a total of 9+3=12 boxes (instead of 16 boxes).

So 16 is the MAXIMUM number of boxes (according to volume).
The actual number of boxes will depend on the dimensions of the large box.  18x18x18 was given just as an example.

If further explanations are needed, please post in comments.
You might be interested in
What is 4-1/4 help please​
miskamm [114]

Answer:

It lets me add one now! The answer is 3.75

Step-by-step explanation:

1/4 of a unit is 25%

When converted to a decimal, 25% = .25

4 - .25 = 3.75

We can check this by using reversive property:

4 - .25 = 3.75

3.75 + .25 = 4

6 0
2 years ago
J and k stands for two numbers.
Katena32 [7]
2j = .5k

Let j = 5
2(5) = .5k
10 = .5k
divide both sides by .5
20 = k
When j = 5 , k = 20
8 0
2 years ago
A family took a trip. They spent $90.71 for gasoline, $153.00 on meals, $197.00 on amusements, and $73.38 on miscellaneous expen
MA_775_DIABLO [31]
The correct answers is 414.09
6 0
3 years ago
Read 2 more answers
How can x minus two-thirds = StartFraction 5 over 6 EndFraction be solved for x in one step?
Brums [2.3K]

Add Two-thirds to both sides

solution:

x-2/3= 5/6

We have to find how this can be solved for "x" in one step

Remember that,

We we add or subtract same number from both sides of a equation, the equation still remains true

Therefore, from given,

x-2/3=5/6

Add Two-thirds to both sides

x-2/3+2/3=5/6+2/3

x=5/6+2/3

x=9/6

Add Two-thirds to both sides to solve the sum

5 0
2 years ago
The length of the base of a triangle is twice its height. if the area of the triangle is 121 square​ kilometers, find the height
mariarad [96]
B = 2h

Area = 121
1/2 × b × h = 121
1/2 × 2h × h = 121
h × h = 121
h^2 = 121
h = square root of 121
h = 11

The height is 11 kilometers
3 0
3 years ago
Other questions:
  • Into how many pieces will the curve be divided by two horizontal lines that each intersect the curve at three points? By three h
    9·1 answer
  • the sum of the digits of a certain teo digit number is 11. reversing its digits decreases the number by 63. whats the number
    12·1 answer
  • Simplify the number using the imaginary unit i.<br> √(-25)
    5·1 answer
  • find two numbers such that the sum of twice the first and thrice the second is 92 ,and four times the first exceeds seven times
    8·1 answer
  • Helen is making pillow cases. each pillow case uses 1/2 of a yard of fabric. If she has 2, 1/2 yards, how many pillow cases coul
    13·2 answers
  • Vertical angles are supplementary <br><br> T <br> F
    10·1 answer
  • A phone company charges a monthly rate of $12.95 and $0.25 a minute per call.
    14·1 answer
  • Ramos spends $36.00 on a t-shirt and spends $20.00 on a hot dog.
    5·1 answer
  • Skylar has sphere-shaped toys for her pool that each have a radius of 2 inches. If the toys fill with water, how many cubic inch
    7·1 answer
  • A pizza had 9/10 left before Lucas ate 4/5 of the pizza. How much pizza is left over?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!