Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.

Complete the following. Show all work for calculations.

List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?
What is the surface area of the box if it is scaled up by a factor of 10?
What is the volume of the box?
What is the volume of the box if it is scaled down by a factor of
1
10
?

ill give 40 points and brainlysest please i really need this please

Answers

Answer 1

Answer:

541/2 square in I hope this helps

Step-by-step explanation:

i hope this helps if it does can i get brainlists

Answer 2

Answer:

Rectangular prism

I chose a box of cereal.

Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).

Length: 20 cm

Width: 8 cm

Height: 32 cm

Part 2).

 Describe the shape of the cross-section when the box is cut parallel to the base.

The shape of the cross-section would be a rectangle in dimensions.

20 cm x 8 cm

Part 3)

What is the surface area of the box? 

surface area=2*area of the base + perimeter of the base*height

area of the base=20*8=160 cm²

perimeter of the base=2*[20+8]-----> 56 cm

height=32 cm

surface area=2*160+56*32------> 2,112 cm²

the answer part 3) is

2,112 cm²

Part 4)

What is the surface area of the box if it is scaled up by a factor of 10?

we know that

surface area of the larger box =[scale factor]²*surface area original box

scale factor=10

surface area original box=2,112 cm²

so

surface area of the larger box=10²*2,112-----> 211,200 cm²

the answer part 4) is

211,200 cm²

Part 5) 

What is the volume of the box?

volume of the box = L*W*H 20*8*32-5,120 cm³

the answer Part 5) is

5,120 cm³

Part 6) 

What is the volume of the box if it is scaled down by a factor of 1/10?

we know that

the volume of the smaller box =[scale factor]³volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box =[1/10]³*5,120 5.12 cm³

the answer part 6) is

5.12 cm³

The length is 6 in., the width is 2 in., and the height is 16 in.


Related Questions

(Repost because I only got bots last time and I really need help) I’m so lost and we didn’t talk about this at all in my class, please help
The volumes of two similar solids are 512cm^3 and 2,197cm^3. If the smaller solid has a surface area is 960cm^2, find the surface area of the larger solid.
PART I: find the similarity ratio by taking the cube root of each volume. Show your work.
PART II: Use your answer from Part I to find the ratio of the surface areas. Show your work.
PART III: Set up a proportion and solve to find the surface area of a larger solid.

Answers

Answer:

2535 cm²

Step-by-step explanation:

Part 1

Cube root the ratio to find the length factor as volume factor = length factor³

∛512 : ∛2197 = 8 : 13

Part 2

Square the ration as area factor = length factor²

8² : 13² = 64 : 169

Part 3

Apply the ratio

64 : 169

960 / 64 = 15

15 x 169 = 2535

Please help I’ll mark brainliest

Answers

Answer:

-2-24i

Step-by-step explanation:

vector addition

let x be the value without the vector I

x+7+5=10

x=10-12

x=-2

let y be the value with the vector I

y-3+9+13= -5

y +19= -5

y= -24

2) Solve : You and a friend go to El Super Taco after school. You order three soft tacos and two burritos and pay $11. Your friend pays $8 for four soft tacos and one burrito. How much do tacos cost? How much do burritos cost?​

Answers

Answer:

A burrito costs 2.8 dollars.

Step-by-step explanation:

3b + 2t = 11

1b + 4t = 8

b = 14/5, t = 13/10

14/5 as a mixed number is 2 4/5

4/5 of a dollar is 80 cents.

So b = 2.8

A burrito costs 2.8 dollars.

Alexis traveled 2.3 km to visit her purchase groceries at the supermarket she travels another 600m to get some vitamin C at the pharmacy how much how many meters did Alex to travel in Total?​

Answers

Answer:

2.9 km

Step-by-step explanation:

Just add up the two distances:  2.3 km + 600 m = 2.3 km + 0.6 km = 2.9 km total

Pls help me I’m failing lolz :)

Answers

Answer: For no solution it would mean that there is no answer to the equation. For infinite solutions it would mean that any value for the variable would make the equation true.

Explanation: For example of no solution 6=5 as you can tell 6 is not the same to 5 so there is no solution. More examples are 2=3, 8=10, and 1=0. For infinite solutions examples are 2=2, 7=7, and 10=10 as we can see 2 does equal 2 and 7 equals 7 which makes it true and infinite.

How is the Pythagorean theorem related to the distance formula? Explain.

Answers

Answer:

Both formulas can be used to find the distance between two points on the coordinate plane. The vertical leg of the right triangle represents the difference in the y values of the two points. The horizontal leg of the right triangle represents the difference in the x values of the two points. The hypotenuse of the right triangle represents the distance between the two points.

Step-by-step explanation:

i got it right on edge 2021

Find the constant of proportionality (k). Using the value for k, enter an equation in the form of y = kx.

Answers

Answer:

k = 4, y = 4x

Step-by-step explanation:

From the question, we get the ratio of :

x : y = 1 : 4

Two variables are proportional to each other if their ration is constant. The constant value is denoted by 'k' and is called as constant of proportionality.

In the question, the two variables are :

x = glasses of lemonade

y = lemons used

From the question, the ratio of y is to x is given by :

y : x is   24 : 6 = 4 : 1     or   24/6 = 4

            32 : 8 = 4 : 1     or   32/8 = 4

            28 : 7 = 4 : 1     or   28/7 = 4

             8 : 2 = 4 : 1      or   8/2 = 4

            16 : 4 = 4 : 1     or   16/4 = 4

So here the constant is 4 . Therefore, the constant of proportionality, k is 4.

So we can write the equation as :

y = kx

or y = 4x

pls help!! TIMED!!!!!!

Answers

Answer:

dont know what to do

Step-by-step explanation:

Will arrived at his mother's office at 11:00am. It took him 30 mins to walk from his home to the mall. Will was in the mall for 45 mins. It took will 15 mins to walk from the mall to the office. At what time did will leave home?

Answers

Answer: 9:30 am

Step-by-step explanation:

To solve this question, add up the time that Will spent walking from his home to the mall and then the length of time he spent in the mall and then the amount of time it took him to walk from the mall to the office:

= 30 + 45 + 15

= 1 hr 30 mins

Then deduct this number from 11:00 am to find out when he left home:

= 11 am - 1 hr 30 mins

= 9:30 am

PLEASE HELP- I NEED CORRECT ANSWER!!
Select the correct answer. Which inequality is graphed on the coordinate plane?
A. y < 4x + 2
B. y > 4x + 2
C. y ≤ 1/4x +2
D. y ≥ 4x + 2
E. y ≤ 4x + 2

Answers

Answer:

y > 4x + 2

Step-by-step explanation:

Y is above the line so the value has to be greater than the line (or equal to, possibly). So it represents > or ≥

A dotted/dashed line is non-inclusive, so it represents < or >.

Since it is both above the line AND non-inclusive, we would use this sign:

>

and this equation :)

y > 4x + 2

Have a nice day. Feel Free to ask questions. Spread the Love.

Answer: y > 4x + 2

Step-by-step explanation:

Four less than six times a number equals 73

Answers

Let the number be [tex] \rm x [/tex]

Given ;

4 less than < 6 times a number = 73

A/Q

Equation forms ➝

[tex] \rm\implies \: 6x - 4 = 73 \\ \rm \implies \: 6x = 73 + 4 \\ \rm \implies \: 6x = 77 \\ \rm \implies \: x = \frac{77}{6} \\\\ \rm \therefore x = 12.83 [/tex]

Now, let's check it whether the value is correct or not.

{ Use BODMAS rule here }

Bracketofdivisionmultiplyadditionsubtraction

Now come to the point [tex]\red ✓[/tex]

➝ 12.83 × 6 - 4 = 73

➝ 76.98 - 4 = 72.98 which is equal to 73.

As we know that if after decimal number exceeds 5 it is converted to its next number.

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

Hope this helps you mate ✅

Have a cheerful evening ☺️

Joe and his 2 friends are making Smores. Each Smore uses 1/4 of a chocolate bar and the package has 8 chocolate bars. How many Smores can the boys make?

Answers

Answer:

They made 2 smores. 1/4(8) = 2

During his past seven basketball games, Manuel scored 35, 37, 43, 47, 52, 29, and 31 points respectively. Therefore, his mean number of points per game was 39.14.

What did calculating that number tell him about his game?
A.
Manuel would know that he will make at least 39 points per game in the future.
B.
Even though Manuel does not score exactly 39 points in every game, he tends to score on average 39 points per game.
C.
Manuel would know that he will make at most 39 points per game in the future.
D.
Manuel would know that both he and his teammates will contribute an average of 39 points each per game.

Answers

B. It’s the average. Not a definite 39 points

can someone help with just question 3 and 4 i will give brainliest

Answers

1. No because he read more 30 pages more times than he read less than 30 pages. A good estimate would be 32.

help me nowwwwwwwwwwwwwwwww

Answers

Answer:

volume = 3x6x2 = 36 cubic inches

Step-by-step explanation:

Answer:

That's easy, just take base times width times Hight. or in this case 6x2x3=

do this on a calculator. :)

Step-by-step explanation:

And anytime you are doing volume, it will always be cubed.

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:

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

someone help with this math question!! brainly if correct

Answers

Answer:

option 1) tan (46) = 17/x

Step-by-step explanation:

What’s the measure of A?

Answers

Answer:

x= 15 and the equation is 3x+5x+4x=180

I NEED THIS ASAP!!
The average length of a female dolphin is about 171 inches (in). What is this length in feet (ft) and inches (in)?

Answers

Answer:

14.25ft

171 in

Step-by-step explanation:

All statements of equality below are correct ? Need help!

Answers

Answer:

True

Step-by-step explanation:

√784/√4 = 28/2 = 14

Answer:

the answer is true

Step-by-step explanation:

because all are equal 14

Solve the equation for y.
3y = -6x + 1
y =

Answers

The answer is y=-2x+1/3

• A. x = 1
• B. x = -4
• C. x = -1
• D. x = -3​

Answers

Answer:

C

Step-by-step explanation:

The parabola is symmetrical at x = -1.

If you were to fold it over itself, it would match up if you folded at x = -1

Determine if the given value is a solution of the inequality. Show your work.

7 – 2y > 3y + 13; y = -1

Answers

Given:

[tex]7-2y>3y+13[/tex]

To find:

The whether the value [tex]y=-1[/tex] is a solution of the given inequality or not.

Solution:

We have,

[tex]7-2y>3y+13[/tex]

It can be rewritten as

[tex]-2y-3y>13-7[/tex]

[tex]-5y>6[/tex]

Divide both sides by -5 and change the inequality sign.

[tex]y<\dfrac{6}{-5}[/tex]

[tex]y<-1.2[/tex]

All the value of y less -1.2 are the solutions of the given inequality but -1 is greater than -1.2.

[tex]-1>-1.2[/tex]

Therefore, [tex]y=-1[/tex] is not a solution of the given inequality.

(1) Is climate change causing more severe storms? In a 2017 pre-Hurricane Irma

survey, 486 out of 1,080 adults answered in the affirmative. In a 2017 post-

Hurricane Irma survey, 546 out of 1,050 answered affirmatively. Establish a 90%

Confidence interval estimate of the difference (pre- minus post-hurricane) between

the proportions of adults pre-Hurricane Irma and post-Hurricane Irma who believe

climate change is causing more severe storms.

Answers

Answer:

90% Confidence Interval for difference in Proportion = (-0.106, -0.034)

Step-by-step explanation:

The formula for difference in proportions is given as:

p1 - p2 ± z × √p1(1 - p1)/n1 + p2(1 - p2)/n2

p = x/n

In a 2017 pre-Hurricane Irma

survey, 486 out of 1,080 adults answered in the affirmative.

x1 = 486

n1 = 1080

p1 = 486/1080 = 0.45

In a 2017 post- Hurricane Irma survey, 546 out of 1,050 answered affirmatively.

x2 = 546

n2 = 1050

p2 = 546/1050 = 0.52

Z score for 90% confidence interval = 1.645

Confidence Interval

=0.45 - 0.52 ± 1.645 × √0.45 (1 - 0.45)/1080 + 0.52(1 - 0.52)/1050

= -0.07 ± 1.645 × √0.0002291667 + 0.0002377143

=-0.07 ± 1.645 × √(0.000466881)

= -0.07 ± 1.645 × 0.0216074293

= -0.07 ± 0.0355442212

Confidence Interval

-0.07 - 0.0355442212

= 0.1055442212

Approximately = -0.106

-0.07 + 0.0355442212

= -0.0344557788

Approximately = -0.034

Therefore, 90% Confidence Interval for difference in Proportion = (-0.106, -0.034)

solve simultaneously
2 log y=log 2 + log x
2 to power y = 4 to power x

Answers

Answer:

Step-by-step explanation:

hello : here is an solution

Sam has a loan for $1200 at a rate of 9% annually. How much interest will he pay in 5 years? A) $54.40 B) $108.00 Eliminate C) $540.00 D) $1740.00

Answers

Answer:

c

Step-by-step explanation:

interest = loan x interest x time

1200 x 0.09 x 5 = $540

Which of the following images show a rotation of 270 counter-clockwise?

Answers

Answer:

top left

Step-by-step explanation:

I don’t know if this is correct !!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!

Answers

Answer:

It is correct

Yes It is correct just checked !

Evaluate.



5^3 − (64/8) + 10^2



Enter your answer in the box.

Answers

Answer:

210

Step-by-step explanation:

Answer:

217

Step-by-step explanation:

5³ − (64/8) + 10²=125-8+100=217

if you roll two standard die what is the probability that they will both be a three?

Answers

Answer:

2/6 or 1/3 (simplified)

Step-by-step explanation:

each dice has 6 sides and there is one 3 on each die, so you would add 1/6 + 1/6 to get 2/6 which simplifies to 1/3

Answer:

2/12 or 1/6

Step-by-step explanation:

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