A rectangular box is 40 cm wide and 36 cm high. If the surface area of the box is 7440 square centimeters, find the length of the box.

Answers

Answer 1

Answer:

The length of the rectangular box is 30 centimeters.

Step-by-step explanation:

Let suppose that rectangular box is closed. The rectangular box is represented by a parallelepiped, whose surface area ([tex]A_{s}[/tex]), measured in square centimeters, is defined by the following formula:

[tex]A_{s} = 2\cdot (w\cdot h + w\cdot l + h\cdot l)[/tex] (1)

Where:

[tex]w[/tex] - Width, measured in centimeters.

[tex]h[/tex] - Height, measured in centimeters.

[tex]l[/tex] - Length, measured in centimeters.

If we know that [tex]A_{s} = 7440\,cm^{2}[/tex], [tex]w = 40\,cm[/tex] and [tex]h = 36\,cm[/tex], then the length of the rectangular box is:

[tex]2880 +80\cdot l + 72\cdot l = 7440[/tex]

[tex]152\cdot l = 4560[/tex]

[tex]l = 30\,cm[/tex]

The length of the rectangular box is 30 centimeters.


Related Questions

Pretend your friend is struggling to solve equations and has asked you for help.
Describe how you would solve the equation below for y: 5(3y - 2) + 6y = 11

Answers

5(3y - 2) + 6y= 11
Multiply 5 with what is in the brackets =15y - 10 + 6y= 11
Add the numbers 15y and 6y
21y2 - 10= 11
Minus 10 from 21
11y2to the power 2
Divide by y
Therefore answer will be 11
Y =11

1. A, D, E
2. A, B, D
3. C, D, E
4. A, B, C

Answers

Answer:

4. A,B,C because the dotted line on A B C have the same shape

The division property of equality could be used to solve which of the following equation

A. 5x=30
B. X/4=16
C. (X+2) (x-2)= 0
D. X+3=7
Please help me

Answers

the answer would be A

Answer:

A

Step-by-step explanation:

5x = 30

divide both sides by 5:

x = 6

I need help with this geometry question

Answers

Answer:

x=9; JL= 23

Step-by-step explanation:

To find x:

If JL and KM are equivalent, then JL = KM. Substitute the equations and you get 2x+5 = 7x-40.

Put the similar terms on the same side by subtracting 2x from both sides and adding 40 to both sides. You will get 45=5x.

Get x alone by dividing both sides by 5 and you will get 9=x.

To find JL:

Substitute the x in 2x+5 (JL length equation) with 9. Your new equation will be 2(9) + 5.

2•9 = 18.

18+5=23

least common denominator of 2/5 and 3/10

Answers

Least common denominator is 10

Please help this is due in 31 minutes

Answers

Answer:

X=45

Step-by-step explanation:

You see the congruency markings use B.A.T to determine that the unmarked angle is x, therefore 4x=180 and x=45

Help me out! Answer? Anyone??

Answers

Answer: C and D.

Step-by-step explanation: The pictures show the work. So sorry about the delay -- my computer wasn't letting me type formulas, so I hand-wrote. If you have questions, let me know and I'd be happy to clarify, and if the pictures are sideways, use the rotate button at the top right.

The seller of a watch marked up the price by 30%, and the new price is $468.00. What was the watch’s original price before the markup?

Answers

Answer: I THINK SO 608.4

HOPE THIS HELPS

Ashley is digging for rocks at a geological site. She has 140 meters of rope and 4 stakes to mark off a rectangular area. Which set of dimensions will create a
rectangle using all the rope Ashley has with her?

14 m x 10 m
70 m × 70 m
60 m x 10 m
55 mx 10 m

Answers

The answer is 60m times 10m

Write the percent as a mixed number in simplest form.
168%

Answers

Answer:

1 and 17/25

Step-by-step explanation:

First, you make it into a fraction. So because percents are out of 100, it would be 168/100. Then, you take 100 out of it to get a mixed number, 1 and 68/100, and then simplify 68/100 by dividing both sides by the greatest common factor, which is 4. 68/100÷4=17/25. The answer would be 1 and 17/25.

(hope this helps :P)

Which of the following steps indicates the distributive property when solving -3(x+2)=21

Answers

Answer:

When you multiply -3 to x and +2

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3(x+2)=21

Multiple -3 to (x+2)

-3x-6=21

then add 6 to 21

-3x=27

Divide by -3 to get an x

Given (4,1) and slope=2, write the equation in slope-intercept form

Answers

Answer:

y = 2x-7

Step-by-step explanation:

Point-slope equation for line of slope m that passes through (x₀,y₀):

y-y₀ = m(x-x₀)

y-1 = 2(x-4)

Put into slope-intercept form:

y = 2(x-4) + 1

y = 2x - 7

Jamie needs 1/5 meter of ribbon to decorate the border of a photo frame. Enter the number of photo frames that can be decorated using 4/5 meter of ribbon?

Answers

It’s 4 pieces of ribbon :)

The number of 4 of photo frames that can be decorated using 4/5 meter of ribbon.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Jamie needs 1/5 meter of ribbon to decorate the border of a photo frame.

And Jamie has  4/5 meter of ribbon.

To find the number of photo frames that can be decorated using 4/5 meter of ribbon:

So, using division operation,

the number of photo frames,

= 4/5 ÷ 1/5

= 4 x 5/5

= 4

Therefore, Jamie can make 4 photo frames from the given ribbon.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

witch expression represents a number 5 times the difference of 6 and 2

Answers

Answer:

i think it is 20

Step-by-step explanation:

6-2=4

4×5=20

Simplify.
Rewrite the expression in the form 4^n.
4^8
4^3

Answers

1024 i hope its the answer

Help ASAP! 25 points! I will also give brainliest!

Answers

Answer:

756 m²

Step-by-step explanation:

I just know the answer XD

Neeed helpp on this question

Answers

Answer:

y=4x-9                                                                      

Step-by-step explanation:

slope is rise/run

choose one point and do rise/run until you get to the next point

from the graph you can see the y-intercept is -9

Answer:

y=2x+-9

Step-by-step explanation:

this is the answer

there was 5/8 of a pie left on the fridge Daniel ate 1/4 of the leftover .how much of a pie did he have?​

Answers

Answer:

3/8

Step-by-step explanation:

Your need to change the 1/4 to eighths

so multiply it by 2

1/4 x 2/2

which equals 2/8

then you need to subtract it from the 5/8

5/8 - 2/8 = 3/8

if ther are 36 eggs in 4 cakes, what should we divide by?​

Answers

There would be 9 eggs in each cake. 36 divided by 4 would equal 9.

40 pointssssss!!!!!!!

Answers

Answer: A.

Step-by-step explanation: It's 20 pionts bro.

1/cd^4 would be the correct answer.

First, cancel the common factor of c and c^2.

Then, cancel the common factor of y^4 and y^8

THIS IS URGENT IT IS DUE TODAY I NEED IT FAST, I ONLY NEED THE STEPS NOT THE ANSWER SO PLEASE SOMEONE HELP ME IT WOULD BE MUCH APPRIECIATED.

Answers

Does that help? Because don’t get the questions

Solve the problem

There were 36,000 people at a ball game in Los Angeles. The day's receipts were $304,000. How many people paid $14 for reserved seats and how many paid $6 for general

admission?

Answer:

paid $14 for reserved seats and

paid $6 for general admission

Answers

Answer:

11,000 paid $14 for reserved seats.

25,000 paid $6 for general admission.

Step-by-step explanation:

First, we need to establish the system of equations:

x= number of people that pay $14

y= number of people that pay $6

14*x + 6*y= $304,000

x + y= 36,000

Now, we isolate x in one equation and substitute it in the other one:

x= 36,000 - y

14*(36,000 - y) + 6y = 304,000

504,000 - 8y = 304,000

200,000 = 8y

25,000 = y

x= 36,000 - 25,000

x= 11,000

11,000 paid $14 for reserved seats.

25,000 paid $6 for general admission.

What is 1 2/3 x 1 1/4 ????

Answers

Answer:

2 1/12 B)

Step-by-step explanation:

A popular soft drink is sold in 2-liter (2,000-milliliter) bottles. Because of variation in the filling process, bottles have a mean of 2,000 milliliters and a standard deviation of 20, normally distributed. a. If the process overfills the bottle by more than 50 milliliters, the overflow will cause a machine malfunction. What is the probability of this occurring

Answers

Answer:

0.0062 = 0.62% probability of this occurring

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 2000, \sigma = 20[/tex]

a. If the process overfills the bottle by more than 50 milliliters, the overflow will cause a machine malfunction. What is the probability of this occurring

Probability of filling the bottle with more than 2000 + 50 = 2050 milliliters, which is 1 subtracted by the pvalue of Z when X = 2050. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2050 - 2000}{20}[/tex]

[tex]Z = 2.5[/tex]

[tex]Z = 2.5[/tex] has a pvalue of 0.9938

1 - 0.9938 = 0.0062

0.0062 = 0.62% probability of this occurring

Let LaTeX: x = \text{-}\frac {11} 8x = - 11 8 and LaTeX: y = \text{-}\frac {11} 4y = - 11 4.
Which expression has a negative value?

Group of answer choices

LaTeX: x + yx + y

LaTeX: x - yx − y

LaTeX: x \cdot yx ⋅ y

LaTeX: \frac x y

Answers

Answer:

This makes no sense

Step-by-step explanation:

what is 4000×1mil I'm stuck on it

Answers

4000 mil, 4000x1 = 4000. You may have made a typo.

according to goo.gle:

The difference between the high and low temperatures one day was 26°F. The low was 64°F. find
the high temperature.

A. 38
B. 2
C. 90
D. 1664

Answers

Answer:

90 degrees F

Step-by-step explanation:

if the distance from the temperatures is 26 degrees and the low point is 64, just add up 26 and 64 and you will get 90 degrees F.

Look at the picture

Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

When angles are between the parallel lines, they are called interior. If they are both on the same side of the transversal, they are "same-side interior."

If angles are on opposite sides of the transversal, they are exterior.

If angles are in the same direction from the intersection point, they are corresponding.

Angles in opposite directions from the point of intersection are vertical angles.

  same-side interior: {3, 5} and {4, 6}. (supplementary)

  same-side exterior: {1, 7} and {2, 8}. (supplementary)

  alternate interior: {3, 6} and {4, 5}. (congruent)

  alternate exterior: {1, 8} and {2, 7}. (congruent)

  corresponding: {1, 5}, {2, 6}, {3, 7}, {4, 8}. (congruent)

  vertical: {1, 4}, {2, 3}, {5, 8}, {6, 7}. (congruent)

Angles 6 and 4 are same-side interior angles; their sum is 180°.

Which is bigger 57.8% or 0.578 ?

Answers

Answer:

They are the same

Step-by-step explanation:

When you convert 0.578 into a percentage you get 57.8%

When you convert 57.8% into a decimal you get 0.578

nature of roots the determining 2x²-13x+15=0

Answers

Answer:

Step-by-step explanation:

discriminant = (-13)² - 4·2·15 = 49

discriminant > 0 so there are two real roots

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