A packaging firm has been hired to create a box for baby blocks. The firm was hired because it could save money by creating a box using the least amount of material. the packaging firm knows that the volume of the box must be 18cm^3.

A. What are the possible dimensions for the box if the volume must be18 cm3?

B . Which set of dimensions should the package firm choose in order to use the least amount of material? Explain Please show work

Answers

Answer 1

Answer:

A. 3cm by 3cm by 2cm or 6cm by 3cm by 1cm

B. 3cm by 3cm by 2cm

Step-by-step explanation:

POSSIBLE DEMENSIONS

3cm by 3cm by 2cm = 18cm^3

6cm by 3cm by 1cm = 18cm^3

LEAST AMOUNT OF MATERIAL

3 by 3 by 2 would mean 6cm squared of material per side

6 + 6 + 6 + 6 + 6 + 6 = 6 times 6 = 36

Total : 6 sides = 36cm^2 used

6 by 3 by 1 would mean 2 sides of 6cm^2, 2 sides of 3cm^2 and 2 sides of 18cm^2

18 + (6 + 6) + (3 + 3) =

18 + 12 + 9 =

30 + 9 = 39

Total: 39cm^2


Related Questions

Write each phrase as an algebraic expression

“One-half of x plus 2”

Answers

Answer:1/2x+2

Step-by-step explanation:

The answer is ½x + 2

Emma measured a restaurant and made a scale drawing. The scale of the drawing was 2 centimeters : 1 meter. If the actual width of the restaurant's kitchen is 20 meters, how wide is the kitchen in the drawing?

Answers

Answer:

20000 meters

Step-by-step explanation:

Write each phrase as an algebraic expression

“the quotient of p and 20 added to 4”

Answers

Thr answer is (9 ÷ 20) + 4.

Find the area...

A. 54 sq in
B. 60 sq in
C. 72 sq in

Answers

A. 54 sq in

6 in. times 9 in. = 54 sq in

Answer:

60 sq inches

Step-by-step explanation:

Okay, here we are given two different shapes. One being a rectangle, and the other being a triangle. We are trying to find the area of the two shapes combined and in order to do so here are the steps:

The area of a rectangle is as follows:

[tex]b*h=A[/tex]

The area of a triangle is as follows:

[tex]A= \frac{1}{2} b*h\\or \\A=\frac{b*h}{2}[/tex]

Note: Notice how rectancgles have coensideing sides. Meaning that the opposite side of 9in will be 9 in and the opposite side of 6 in will be 6in.

Now lets solve the problem:

[tex]b*h =A\\6*9=54 sq inches\\A=\frac{1}{2} b*h\\A=\frac{1}{2} 6*2\\A=\frac{1}{2}(12)\\A=6 sq inches\\6+54=60 sq inches[/tex]

I would be happy to help you with any future questions you might have, and I hop this provided some clarification for you. :D

Please help me with this I will give out extra points with the brain this math question
4/5 image below.

Answers

Answer:

c

Step-by-step explanation:

ur welcome

He blew his kite fourty feet

The shadow of the moon during a solar eclipse travels 2300 miles in 1 hour. In the first 20 minutes, the shadow traveled 766 2/3
miles. How long does it take for the shadow to travel 1150 miles?

Answers

Answer:

0.5 hours

Step-by-step explanation:

2300 miles per hour

1150/2300 = 0.5 hours

Answer:

2031

Step-by-step explanation:

20+766+2300=3181-1150=2031

6.4 How Many in 2?
How many s are in 2?

1. Write a multiplication equation and a division equation that can be used to answer the question.
2. Draw a tape diagram and answer the question. Use the grid to help you draw, if needed.

please help ! middle school math

Answers

Answer:

for the 6.4 How Many in 2? is it for feet or inches

Step-by-step explanation:

Is this inches, cm, mm or feet etc?

Quinn's mom went to the same middle school that Quinn is now attending. The current student population is 817 students. Since Quinn's mom attended, the school has experienced a
57% increase in population. About how many students were enrolled at the school when Quinn's mom attended?

Answers

Answer:

351 Students

Step-by-step explanation:

First Find 57% of 817

817 x .57 = 465.69

Then subract that from how many students attend the school now(817)

817- 465.69= 351. 31

Answer = 351 Students

pretty sure the answer is 351

HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

e,b,and c but im not for sure

Step-by-step explanation:

I also think it’s e b and c.

Diego says that 108 cubes with an edge length of 1/3 inch are needed to fill a rectangle prism that is 3 inches by 1 inch by 1 1/3 inch

a. Explain how this is true

b. What is the volume in cubic inches of the rectangular prism? explain your reasoning.

Answers

Answer:

Step-by-step explanation:

Option C) 4 cubic inches is the volume of the rectangular prism. Step-by-step explanation: It is given that, 108 cubes with an edge length of 1/3 inch are needed to fill a rectangular prism. Therefore, the volume of the rectangular prism is equal to the volume of the 108 cubes needed to fill that rectangular prism.

B b b b b b b b b b b

Okay this question is tricky let's see if you can figure it out

Answers

if you are trying to find like the rate of change it is 7 because 14 divided by 2 is 7 and 35 divided by 5 is 7

here please help im stuck on this idhwihef

Answers

Answer: I think, she is incorrect.

Step-by-step explanation:

The shapes are different sizes thus the formula is different. (I'm pretty sure) If I'm correct please name me brainliest. :)

Correct I think not sure

-20(8x + 20) yea again like i stated before im not bright

Answers

Answer:

-160x - 400

Step-by-step explanation:

-20(8x + 20)

distribute -20 into the ( )

-160x -400

Hope This Helps!!!

Answer:

distributive property

-160x - 400

Step-by-step explanation:

-20 * 8x = -160x

-20 * 20 = -400

*btw this symbol (*) is a multiply*

omg ahhh:(((

sorry to bug again but I need help pronto

Answers

Answer:

B

Step-by-step explanation:

because

2 x 9 = 18

9 x 9 = 81

Hope this helped!

PLEASE q3 i need helppp

Answers

Answer:

Option #1 FALSE

Option#2 TRUE

Option #3 FALSE

Option#4 FALSE

pls heellpp meeee its so hard

Answers

Download photo math and take a picture of the graph it will tell you domain and range it helped me when I was on this unit awhile ago

Ashley and William work at the local ice cream shop. Ashley is paid $15
per week plus $9.75 per hour, and William is paid $12 per week plus $10.25 per
hour.
Write expressions that represent how much Ashley and William are paid
each week using h as the number of hours worked

Answers

Answer:

Ashley is 146.25 is the h in hours worked and for William 123.00 is the h in hours worked

Step-by-step explanation:

So first, you are gonna do 15 times 9.75 and that will equal 146.25 and for William your gonna do 12 times 10.25 and that will equal 123

The scatter plot shows the maximum noise level when different numbers of people are in a stadium. The linear model is given by the equation y=1.5x + 22.7 where y represents maximum noise level and x represents the number of people, in thousands, in the stadium.
​​​​​​

1. The slope of the linear model is 1.5. What does this mean in terms of the maximum noise level and the number of people?

2. A sports announcer states that there are 65,000 fans in the stadium. Estimate the maximum noise level. Is this estimate reasonable? Explain your reasoning.

3. What is the -intercept of the linear model given? What does it mean in the context of the problem? Is this reasonable? Explain your reasoning.

Answers

Answer:

The y intercept is 1.5x+22.7 + the linear equation which is 22

Step-by-step explanation:

Answer:

Step-by-step explanation:

please help me first answer gets brainliest

Answers

Step-by-step explanation:

Answer: -40

Step-by-step explanation:

I will also give brainliest on this one What’s the surface area of this round to the tenth if you have to

Answers

542.4
I believe is the answer

PLEASE help 20 points & Mark brainlist

Answers

Answer:

1. x=2

2. n=1

3. y=2

4. b=25

5. c= 12

6.h = 15

7. a=14

Answer: 1.B 2.A 3.B 4.Y 5.L 6.O 7.N

Step-by-step explanation: HOPE IT HELPED 0_0

Please help with these 3 thank you, you will get brainleiest for the most detailed and/or answering the questions:)

Answers

2.) Given: There are 30 students. 24 are wearing sneakers.

Work: We can figure this out by finding the exact percentage of sneaker-wearers in the class.

To find the percentage, you do 24/30. 24/30 is equal to 80%.


Answer: Joe is wrong. The percentage of students wearing sneakers is 80% and not 70%.


3.) Given: There are 40 people total. 2 women per 3 men.

Work: 2:3 women to men

If we multiply both by 10, we will get 50 people in total.

20:30 = 50

So we need to shrivel this down to 40 by taking out 5 on both sides of the ratio.

50 - 5 - 5 = 15:25 = 40

But the ratio need to be divisible by 2 because of the 2 women that are needed per 3 men. We can do this by moving over one human to the men’s side.

There are 14 women and 26 men. I didn’t use any of the strategies there listed because I don’t even remember what those are. I’m in grade 9. I would say that the ratio table works best because I just used ratios...


4.) Given: Find simplified fraction of silicon. 100%.

Work: Add all things up to find out the denominator for the fraction. They will equal 100.

So the fraction is 28/100.

We can divide this fraction by 4.

7/25

This is the simplified form.


Answer: 7/25


Three friends are buying seashells at the gift shop on the beach. Melanie buys 2 seashells for​ $0.80. Rosi buys 5 seashells for​ $2.00. Carlos buys 4 seashells for​ $1.60. Use a graph to determine whether the number of seashells and the cost have a proportional relationship. If​ so, what is the constant of proportionality and what does it​ mean?

Answers

Answer:

17.08

Step-by-step explanation:

Solve the inequality for u.
u + 6 < 22
simplify as much as possible.
Thank you for helping! =D

Answers

Answer:

12 < 22

Step-by-step explanation:

i tried hoped it helped you but this is what i did

6 + 6 = 12

12 < 22

Answer:

u<16 hope that helps

Step-by-step explanation:

Find the value of X?

A. 90 cm
B. 40 cm
C. 46 cm
D. 9 cm

Answers

Answer:

Step-by-step explanation:

b

I think really think it’s the letter b

Help I’ll give brainliest

Answers

Answer:

b

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

hope that helps

Jen and Joey share a 30-ounce bucket of clay. By the end of the week, Jen has used 3/10 of the bucket, and Joey has used 3/5 of the bucket of clay. How many ounces are left in the bucket?

Answers

Answer:

Basically your doing GCF

A ballpark snack bar sold hot dogs and hamburgers. There were 9 times as many hot dogs sold as hamburgers during the third inning, for a total of 72 hot dogs sold. How many hamburgers were sold?

Answers

Answer:

:the answer is 8 (c)

Step-by-step explanation:dice there were 9x as many hot-d than hamburger you ÷ the amount of hotdogs by 9

Given the equation g(t)=4^t , what is the average rate of change from 0≤t≤2?
The average rate of change is __

Answers

Answer:

g(0)=4^0 = 1

g(1) = 4^1 = 4

g(2) = 4^2 = 16

Average :

(1+4+16)/3

=(5+16)/3

=21/3

= 7

Take a sum, divide by 3 because the counted datas are 3.

What is the solution to 2x-8 <12?
x<2
x<3
x<10
x<40

Answers

Answer:

x<10

Step-by-step explanation:

2x-8<12

add 8 to 12 and cancel to get the equation, 2x<20

divide 20 by 2

x<10

Hope this helps :)

The answer would be X<10
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