There are 24 cans of soda arranged in 4 rows of 6 cans each. Each can is a

cylinder with a radius of 4 cm and a height of 15 cm. These cans are to be packed

snuggly into a rectangular prism case with no extra space on the top, bottom, or

sides. Determine the volume, in cubic centimeters, of the case (rectangular prism).

Answers

Answer 1

Answer:

23,040 cm^3.

Step-by-step explanation:

The case will be 6 * diameter of a can in length,

= 6* 8= 48 cm.

The width will be 4 * 8 = 32 cm.

The height = height of each can

= 15 cm.

So the volume of the case = 15*32*48

= 23,040 cm^3.


Related Questions

Algebraically, find the roots of x² - 4x - 5=0.​

Answers

Question:-

Algebraically, find the roots of x² - 4x - 5 = 0

Solution:-

x² - 4x - 5 = 0 (Given equation)

Here a = 1, b = -4 and c = -5

[tex] \therefore [/tex] b² - 4ac = (-4)² - (-4) × 1 × -5 = 16 - 20 = -4 < 0

There are no real roots for the given equation. [Answer]

Find the length of the third side. If necessary, round to the nearest
tenth.
20
28

Answers

Answer:

19.6

Step-by-step explanation:

missing side = a

a² + b² = c²

a² + 20² = 28²

a² + 400 = 784

a² = 384

[tex]\sqrt{a^2} =\sqrt{384}[/tex]

a = 19.59

Rounded to nearest tenth: 19.6

Answer:

34.4

Step-by-step explanation:

Here, we need to do 28·28 + 20·20

Then, we get 1,184 when we do that, then we square, which gives us 34.4

hey guys so if you have 75,067 times 2=1726541

Answers

Answer:

Step-by-step explanation:

Actually 75067 x 2= 150134

6 Kevin runs 2 km of a 20 km Journey, and
Walks the rest. How many km did he
walk? write an expression​

Answers

Answer:

walk for 20-2km

Step-by-step explanation:

18

Step-by-step explanation:

20-2=18 hope it helps

Akela rode her bike 48 km for 3 hours, she rested for 1/2 an hour and then rode another 24 km for 1 hours. What was her average speed?

Answers

Answer:

18km

Step-by-step explanation:

speed=distance\time taken that's the formula I've used.I hope you'll understand it.

PLEASE HELP ME!!! ITS DUE TODAY!!!!!!! the file is down below!!!!!

Answers

Answer:

the first phot is correct becuase thh way she sets it up shows the right way to set up a number line.

Step-by-step explanation:

First pictures right the second picture is wrong u could really just look it up

How do I do these? Thanks for the help

Answers

what is the full question?

Determine if the side lengths listed create a right triangle, acute triangle, obtuse triangle, or do not make a triangle. 3, 9, 10 Determina si las longitudes de los lados enumeradas crean un triángulo rectángulo, un triángulo agudo, un triángulo obtuso o no forman un triángulo. 3, 9, 10 * 1 point right acute obtuse not a triangle

Answers

Answer:

Obtuse triangle

Step-by-step explanation:

Given the side lengths :

3, 9, 10

Let :

a = 3 ; b = 9 ; c = 10 (longest side)

If a² + b² = c² (right angle)

If a² + b² > c² (acute angle)

If a² + b² < c² (obtuse angle)

a² + b²

3² + 9²

9 + 81 = 90

c² = 10² = 100

90 < 100

Hence,

a² + b² < c² (then we have an obtuse triangle)

I need help with these. Click this to see the problems (if u don't know how to)

Answers

The ground is supplementary. That means it equals 180 degrees. (A circle is 360. The ground is half the circle)
So u set up the equation as
180=22x+14x
180=36x
/36 /36
5=x

But you need to find the 14x
14(5)
=70 degrees before the tree hits the ground

what is 5/18 ÷ 2/6 pls answer as soon as possible

Answers

Answer:

Solution :-

[tex] \sf \dfrac{5}{18} \times \dfrac{6}{2} [/tex]

[tex] \sf \: \dfrac{5}{3} \times \dfrac{1}{2} [/tex]

[tex] \sf \: \dfrac{5}{6} [/tex]

Answer:

5/6

Step-by-step explanation:

PLLLZZZZ HEEELLLPPPP!!!!!!!!!!! Questions are below! :D

Answers

Answer:

12)  m∠BXD = 122°

13)  m∠GXE = 50°

Step-by-step explanation:

12)  m∠BXD = ∡BXC + ∡CXF + ∡FXD = 32° + 50° + 40° = 122°

13) m∠GXE = (90° - m∠AXG)  =  90° - 40° = 50°

On Monday, 30% of the 900 students at Maple Middle school walk to school. Complete the double numberline model. How many students walk to school on Monday?

Answers

the answer is 270 (dont click ant links in this app)

270 students walk to school on Monday.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Total students= 900

Percent of student who walk to school= 30%

So, the number of students walk to school on Monday

= 30% of 900

= 30/100 x 900

= 30 x 9

= 270

Hence, 270 students walk to school on Monday.

Learn more about percentage here:

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How are chords and secants alike? How are they different?

They are alike because they both intersect the circle

They are different because chord

and secants are

:: once

.: twice

: three times

:: four times

:: lines

:: rays

: segment

Check

? Help

2

3

4

5

6

-

NEXT >

Type here to search

Answers

Answer:

twice

Step-by-step explanation:

??

How can you use transformations to graph this
function?
y=3.75 +2
Explain your steps.

Answers

Answer:

Sketch the graph of y=7^x

Reflect the graph across the y-axis to show the function y=7^-x

Stretch the graph vertically by a factor of 3 to show the function y=3*7^-x            

Shift the graph up 2 units to show the function y=3*7^-x+2

Step-by-step explanation:

Answer: Draw a graph showing y=7x. The graph can be reflected across the y-axis to display the function y=7x-x. To display the function y=3*7-x, multiply the graph's vertical extent by 3. The graph should be moved up 2 units to display the function y=3*7-x+2.

:)

The 9th term of arithmetic sequence is 37 and 16th term is 65 find the 100th team
.​

Answers

Answer:

          a₁₀₀ = 385

Step-by-step explanation:

The nth term of arithmetic sequence is   [tex]a_n=a_1+d(n-1)[/tex]

So:

     [tex]a_9=a_1+d(9-1)\\\\37=a_1+8d\\\\a_1=37-8d\\\\\\a_{16}=a_1+d(16-1)\\\\65=a_1+15d\\\\65=37-8d+15d\\\\28=7d\\\\d=4\\\\a_1=37-8\cdot4=5\\\\\\a_{100}=a_1+d(100-1)=5+4\cdot95=385[/tex]

You are paying off a student loan in monthly installments. After
the 4rd payment the remaining balance is $13,900. After the 5th
payment your remaining balance is $13,500. If n is the number of
payments that have been made, what is the nth term rule?

Answers

Answer:

The loan will be paid after 39 monthly installments.

Step-by-step explanation:

Since I am paying off a student loan in monthly installments, and after the 4th payment the remaining balance is $ 13,900, while after the 5th payment my remaining balance is $ 13,500, to determine the amount of payments in which the loan was agreed I must perform the following calculation:

13900 - 13500 = 400

400 x 5 = 2000

2000 + 13500 = 15500

15500/400 = 38.75

Thus, the loan will be paid after 39 monthly installments.

6 groups of 7 = 5 groups of 7 plus

Answers

Answer:

1 group of 7

Step-by-step explanation:

one group of seven.

(1/2a - 1/3b) - (1/3b - 1/2a)

Answers

Answer:

a- 2b/3

Step-by-step explanation:

1) Remove the parentheses and combine like terms

Determine the slope of the line that is perpendicular to the line shown in the picture below.

A. 3
B. 1/3
C. -3
D. 1/3

Answers

Answer:

-1/3 i think i might be wrong

Step-by-step explanation:

Answer:

-1/3 because 3/-1 = -3 and -3/3=-1

Step-by-step explanation:

surely help me with this question

Answers

Answer:

The area of the composite shape is:

122.50 [tex]cm^{2}[/tex]

Step-by-step explanation:

To find the area of composite shapes you can pull apart this in known shapes, in this case, a rectangle and a triangle. Taking into account this, we can find the rectangle area firstly:

Rectangle area = base * height

The base of the rectangle is the measure from down (14 cm) and the height is the measure in the left side (7 cm), with these values we can replace the formula:

Rectangle area = base * heightRectangle area = 14 cm * 7 cmRectangle area = 98 [tex]cm^{2}[/tex]

Now, to calculate the area of the remaining triangle, we must use the next formula:

Triangle area = [tex]\frac{base*height}{2}[/tex]

Where the base would be equal to the left side of the shape (7 cm) and the height is the difference between the measurement in the top side and the measurement in the bottom side:

Height of the triangle = top side - bottom sideHeight of the triangle = 21 cm - 14 cmHeight of the triangle = 7 cm

We can replace in the formula:

Triangle area = [tex]\frac{7 cm * 7cm}{2}[/tex]Triangle area =[tex]\frac{49cm^{2} }{2}[/tex]Triangle area = 24.5 [tex]cm^{2}[/tex]

By last, we must add the two values of the areas obtained:

Area of the composite shape = rectangle area + triangle area.Area of the composite shape = 98 [tex]cm^{2}[/tex] + 24.5 [tex]cm^{2}[/tex]Area of the composite shape = 122.5 [tex]cm^{2}[/tex]

find the slope, y-intercept. write the equation :).

Answers

y=mx+b
m=2/5
b= y-intercept witch is 4

y=2/5x+4

slope: -4/5

y-int: 4

y=-4/5x+4

3^4/3^2
8 grade mathematics edulastic

Answers

Answer:

9 or 81/9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

1. Simplify the exponents

3^4 = 3*3*3*3 = 9*9 = 81

3^2 = 3*3 = 9

81/9 = 9

What is the solution of log(2t+4)= log(14-3t)?
-18
-2
2
10

Answers

The answer to the question is 2

Whats a equivalent expression to (3x^2+3)+(-2x^2+7)

Answers

Answer:

X^2+10

Step-by-step explanation:

Find the total amount given the original price and tip rate. Round to the nearest cent if necessary. Original price: $41.32 Tip: 15%

Answers

Answer:

$6.20

Step-by-step explanation:

We can covert 15% to a decimal by moving the decimal point two places over.

15% = 0.15

41.32 X 0.15 = 6.198

6.198 ≈ $6.20

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Original price: $41.32

Tip: 15% = %6.189

Total amount = = Original price + Tip amount

The total amount is $47.509

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Original price: $41.32

Tip: 15%

Now,

The amount of the tip.

= 15% of 41.32

= 15/100 x 41.32

= $6.189

The total amount.

= Original price + Tip amount

= 41.32 + 6.189

= $47.509

Thus,

Original price: $41.32

Tip: 15% = %6.189

Total amount = = Original price + Tip amount

The total amount is $47.509

Learn more about percentages here:

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What is the base and height of this parallelogram? *
12.2 cm
8 cm
10 cm

Answers

Answer:

b=12.2 h=8

Step-by-step explanation:

dotted line vertical - always height

12 is under the height line vertically

An ant stands atop a grassy hill looking at a castle. A horizontal bridge 20 feet long crosses the gap, forming a right angle with the castle wall. The hill slopes down to a moat (water) that is 10 feet wide. The moat has 0 alligators because this is a math problem, not Louisiana. The castle is 38 feet tall, measuring from moat to roof.

a) Draw a sketch showing all the information you have right now.

b) The angle of elevation from the ant to the castle roof is 54.5°. Find the height of the castle above the bridge to the nearest foot (whole number).

c) What is the distance of the vertical drop from the bridge into the moat?

d) Find the angle between the hillside and the underside of the bridge. You may assume that the hill's slope is perfectly straight.

Answers

Answer:

Step-by-step explanation:

Please, please help!

Answers

Answer:

y=-5x+19 is that what you're looking for bc I don't think you can solve for either variable

what are the factors of 30 that have a sum of -11

Answers

Answer:1, 2, 3, 5, 6, 10, 15, 30.

Step-by-step explanation:

Please help soon, it's timed!!
What is the domain of the function shown in the graph?

Answers

Don’t believe the link^
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