A candy company can sell fruit gums in rectangular boxes or in cylindrical tubes. Each box is 8 cm by 3 cm by 7 cm. Each cylinder has radius 3 cm and height 6 cm. The company wants the packaging that uses less material. Which packaging should the company choose? Justify your choice.

Answers

Answer 1

Answer:

i. The company should use the cylindrical tubes.

ii. This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²

Step-by-step explanation:

i, Which packaging should the company choose?

The packaging that uses less material is the one with the least surface area. So, we find the surface area of each material.

For the rectangular box, the surface area, A = 2(lb + lh + bh) where l = length, b = breadth and h = height. Since each box  is 8 cm by 3 cm by 7 cm,l = 8 cm, b = 3cm and h = 7cm.

So, ,A = 2(lb + lh + bh)

,A = 2( 8 cm × 3 cm + 8 cm × 7 cm + 3 cm × 7cm)

A = 2(24cm + 56 cm + 21cm)

A = 2(101 cm²)

A = 202 cm²

For the cylindrical tube, the surface area, A' = 2πr(r + h) where r = radius of cylinder and h = height of cylinder.

Since each cylinder has radius 3 cm and height 6 cm, r = 3cm and h = 6 cm.

So, A' = 2πr(r + h)

A' = 2π(3 cm)(3 cm + 6cm)

A' = (6π cm)(9 cm)

A' = 54π cm²

A' = 169.65 cm²

Since the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²

The company should use the cylindrical tubes.

ii. Justify your choice.

This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²


Related Questions

A cylindrical can has a diameter of 8 inches and a height of 12 inches. Find the volume of the can, in cubic inches, rounded to the nearest whole number.

Answers

Answer:

The rounded answer would lead you to 603.

If this is wrong in sorry.

The volume of the cylinder will be  [tex]V=602.88\ In^3[/tex]

What will be the volume of the cylinder?

Given that

The diameter d=8 inches r= 4 inches

The height of the cylinder h=12 inches

the volume of the cylinder will be

[tex]V= \pi r^2h[/tex]

[tex]V=\pi\times (4)^2\times 12[/tex]

[tex]V=602.88\ Inch^2[/tex]

Thus the volume of the cylinder will be  [tex]V=602.88\ In^3[/tex]

To know more about the Volume of cylinders follow

https://brainly.com/question/23935577


If 5x-3=3x+5, what is the value of 2X-8? 5

Answers

Answer:

5x-3=3x+5

5x-3x=5+3

2x=8

x=8/2

x=4

Therefore,

Value of 2x-8

Substitute the value of x

2(4)-8

8-8=0

If you are helped with my answer pls tag me brianliest

I really want it

Plss

THANK you.....

help me asap please

Answers

Step-by-step explanation:

1st - false

2nd - true

3rd - false

Answer:

it is true, true, false. your welcome

A rectangle and a triangle have the same area.
The dimensions of the rectangle are 3 cm and 10 cm. The base of the triangle is 6 cm.
What is the height of the triangle? How do you know?

Answers

Answer:

Height of the triangle = 10 cm

Step-by-step explanation:

Given:

Dimensions of rectangle = 3 cm , 10 cm

Base of triangle = 6 cm

Find:

Height of the triangle

Computation:

Given that area of rectangle is equal to area of triangle

So,

(l x b) = (1/2)(b)(h)

(3 x 10) = (1/2)(6)(h)

30 = 3(h)

h = 10

Height of the triangle = 10 cm

factorise it
[tex]v[/tex]

Answers

Answer:

2(x – ½)(x + ½)

Step-by-step explanation:

2x² – ½

The above expression can be factorised as follow:

2x² – ½

2 is common to both 2 and ½. Thus,

2x² – ½ = 2[x² – ¼]

Recall

(½)² = ¼

Thus,

2[x² – ¼] = 2[x² – (½)²]

Difference of two squares

2(x – ½)(x + ½)

Therefore,

2x² – ½ = 2(x – ½)(x + ½)

WILL VOTE BRAINLIEST, 50 POINTS

Answers

Answer:

-1

Step-by-step explanation:

[tex] - 3f {}^{ - 8} + 7g(2) \\ \\ = 14g - 3f {}^{ - 8} [/tex]

PLEASEEEEE HELPPP MEE THIS IS LITERALLY MY 10TH TIME POSTING AND IM LOSING POINTS PLSS HELP MEEE I WOULD HAVE A MENTAL BREAKDOWN PLS

Answers

Answer:

8

Step-by-step explanation:

it's 8 because parallel lines have equal slopes

Please answer with explanation and standard form

Answers

Answer:

2x - 7y = -34.

Step-by-step explanation:

As the line we want is perpendicular to y= -7/2 x + 9 it's slope will be

-1 /(-7/2) = 2/7.

Now we find the point of intersection ofn the 2 given  lines:

x    + y = 10

3x - 4y = -12

Multiply the first equation by -3:

-3x - 3y = -30

Now add this last equation to the second one:

-7y =  -42

y = 6

Plug y = 6 into the first equation:

x + 6 = 10

x = 4.

So the point of intersection is (4, 6) and the equation we want passes through this, so using the point-slope form of  straight line we have:

y - 6 = 2/7(x - 4)

7y - 42 = 2(x - 4)

7y - 42 = 2x - 8

2x - 7y = -42 + 8

2x - 7y = -34

Answer:

y=(2/7)x+(7/3)

Step-by-step explanation:

y=-7/2(x)+9

y=mx+c

Therefore, slope of line y is -7/2

Because line y perpendicular to the required line

Therefore, slope of the required line is 2/7

x+y=10 ........(1)

3x-4y = -12 ......(2)

(1) x 4:

4x+4y =40 ......(3)

(3) + (2)

4x+4y+3x-4y=28

x=4

by substituting x=4 into (1), we have

y=10-4=6

Therefore, the point that the line intersects is (4, 6)

let y=(2/7)x+c be the required equation

(4, 6):

6=(2/7)4+c

c=21/4

therefore, the required equation is y=(2/7)x+(7/3).

SOMEONE PLEASE HELP!!!!! I’m not quite sure

Answers

Answer: I have no clue lol but if I had to guess I'd say A because it just seems like it stands out from the rest

Step-by-step explanation:

Two names for the angle formed by the dashed rays are? (I have to put down 3 letters)

Answers

Answer:

ZGK and DGS

Step-by-step explanation:

(6,3); (1,4)

Slope

Giving brainless answer

Answers

(6,3) (1,4)
4-1/3-6
3/-3
The slope is -1
Hope that helped

Answer:

-(1/5)

Step-by-step explanation:

Well slope is basically

(y2-y1) / (x2-X1)

Subsitute in those numbers and solve, you’d get -(1/5)

The price of a watch was increased by 20% to £198.
What was the price before the increase?

Answers

Answer:

$165 Hope this helps! May I have brainliest? I need to level up?

Step-by-step explanation:

To find the original price before the increase, divide the new price by 1 + the percent of increase.

198 / 1.20 = 165

The original price was $165

Please help! Will give brainlist if correct! :(

Answers

Answer:

Rounding can be referred to as a replacement of a number with another number that is equivalent to it. Rounding can be used to shorten a given number without depriving it of its original value. For example, we have to round 56.89. We can round it as replacing it with 57 which is the closest value to 56.

Rounding numbers isn't that difficult task. In fact, it's quite interesting and easy to do. For rounding, all you are required to do is to figure out which decimal place of the number you want to round off. There are different methods to round off numbers. You can round off numbers to Half Up/Down, Round-Up/Down Round Half to Even/Odd, and So on. Anyhow, here, we are concerned with "To What Place You Want to Round Off a Number". This can be illustrated.

To know how rounding calculator works you just have to understand the way the numbers are rounded off to a particular decimal place. Following is a list of the places to which a number can be rounded off: 1. Ones 2. Tens 3. Hundreds 4. Thousands 5. Ten Thousands 6. Millions 7. Tenths (1 decimal place) 8. Hundredths (2 decimal place) 9. Thousandths ( 3 decimal place) 10. Ten Thousandths (4 decimal place) 11. Hundred Thousandths (5 decimal place) 12. Millionths (6 decimal place)

Step-by-step explanation:

Math problem help please

Answers

Answer:

I say B.

Step-by-step explanation:

sorry if I'm wrong. Have a nice day :)

A large tank holds 5 x 10^7 gallons of oil. How much oil can be stored in 27 tanks?
Write your answer in scientific notation.

Answers

Answer:

i dunno do the math

Step-by-step explanation:

A farmer sells 7.1 kilograms of pears and apples at the farmer's market. 1/4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

Answers

Answer:

your answer gonna be 4 1/10 that's your answer

5.325kg because 3/4 of the weight is apples and you take 1/4 away from 7.1. 1/4 of 7.1 is 1.775

What is it? This is science

Answers

Answer:

i believe C is correct :)

Answer:

The answer you got was correct.

Step-by-step explanation:

Predation means the preying of one animal on others,or more simplified,the action of attacking or plundering.

I’ll give brainliest!!!!! Pls help ASAP

Answers

Answer:

[tex]\sqrt[4]{x^{7} }[/tex]

Step-by-step explanation:

this is the same concept basically as simplifying [tex]\sqrt{x}[/tex] into [tex]x^{\frac{1}{2} }[/tex]. You can see that the denominator is in front of the radical and that any numbers in the numerator are the power of the number underneath.

There is 13 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.

Answers

Complete question :

There is 1/3 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.

Answer:

1 /9

Step-by-step explanation:

Capacity of container = 3 gallons

Amount of gallons in container = 1/3 gallon.

Fraction of water in container:

Division equation :

Amount of gallon in container / capacity of container

1 /3 ÷ 3 = 1/ 9

Multiplication equation :

1/3 of 1 gallon

Capacity of container = 3 gallons

1/ 3 * inverse of 3

1/3 * 1/3 = 1/9

PLEASE HELP ME ON THIS QUESTION AND DONT GUESS ASAP!!!!!!!

Answers

Answer:

25 ft ........................

Answer:

25.13ft  or 25ft

Step-by-step explanation:

hope this helps :)

can somebody help with this??????

Answers

Answer:

6

Step-by-step explanation:

The equation can be made more clear by changing the form.

g(h(0)) = ?

All we have to do is find the y values for an x value of 0

h(x) = x^2 - 3

h(0) = 0^2 - 3

h(0) = -3

So now we plug in -3 for g(x)

g(x) = -2x

g(-3) = -2(-3)

g(-3) = 6

Tammy sang 4 songs. Every song was 5/8 minutes long. For how much time did she sing in total? Write your answer in simplest form.

Answers

Answer:

5/2

Step-by-step explanation:

Tammy has 4 songs

For each of the songs, the time spent is 5/8 minutes

Therefore the total time spent ca be calculated as follows

= 4 × 5/8

= 20/8

= 5/2

Hence the total time spent is 5/2

Answer: 2.5

Step-by-step explanation: 4* 5/8 = 20/8 20/8= 2 4/8  2 4/8 = 2 1/2

2 1/2= 2.5

Solve for C.
Thank you to whoever answers!!!!!!!!!!!!!!!!!!!

Answers

Answer:

c=7

Step-by-step explanation:

How to solve your problem

8=−3+29

8=−3c+298=-3c+298=−3c+29

Solve

1

Subtract

29

292929

from both sides of the equation

8=−3+29

8=−3c+298=-3c+298=−3c+29

8−29=−3+29−29

8−29=−3c+29−298{\color{#c92786}{-29}}=-3c+29{\color{#c92786}{-29}}8−29=−3c+29−29

2

Simplify

3

Divide both sides of the equation by the same term

4

Simplify

Solution

=7

Hope this helps!

Have a great day!

-Lea

First we add 29 to both sides. 29+8=37
Our new equation is 37=-3c then we divide by three on both sides.
Your answer is 37/3

What are the integer solutions to the inequality below? 2 x < 3 x + 2 ≤ x + 6

Answers

Answer:

-2 < x ≤ 2

Step-by-step explanation:

Inequality form: -2 < x ≤ 2
Interval Notation: (-2, 2)
Thus the answer is: (-2, 2) or -2 and 2

Evaluate the function requested. Write your answer as a fraction in lowest terms.
Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 13, adjacent A C is 12, opposite B C is 5.
Find tan A.

Answers

Answer:

sine A = four-fifths

Step-by-step explanation:

You have a rectangle triangle ABC with hypotenuse AB 35, side CB 28 and side CA 21. The angle C is 90°.

tanA =5\12

As

tanA = opposite\adjacent

= BC\AC

= 5\12

What is trigonometry?

Trigonometry is a branch of maths that studies relations between the sides and angles of triangles. Trigonometry is found all throughout geometry, as every straight-sided shape may be broken into a collection of triangles.

Learn more about trigonometry here

https://brainly.com/question/24349828

#SPJ2

solve for x
2 3/4 x = 11 11/12

Answers

Answer:

If your question mean : 2×3/4×X = 11×11/12 then ans is (121/18) I.e. 6.722

Step-by-step explanation:

1) multiply all the numerator part

2) Cross multiply and solve for X.

If a line AB is translated in a plane to form A'B', what is true about AB and A'B'?

AA' = BB'

A'A' = B'B'

AA = BB

AB = BB

Answers

Answer:

ab=bb

Step-by-step explanation:

which is greater ? | -5| or 4

Answers

Answer:

4

Step-by-step explanation:

Answer:

|-5|

Step-by-step explanation:

|-5| = 5

5 > 4

|-5| > 4

What does x equal to?

Answers

Answer:

x = 25°

Step-by-step explanation:

the angle adjacent to the 130 angle is 50 degrees

x = 180-(105+50)

x = 180-155

x = 25

i forgot how to do this plz help

Answers

Answer:

C. 48°

Step-by-step explanation:

The correct answer would be C. 48 degrees
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