A rectangular prism has the following dimensions.

length: 18 inches

width: 1 foot

height: 14 inches

If all the dimensions of this prism are tripled, what will be the surface area of the new figure?

7,632 in. 2
11,448 in. 2
3,816 in. 2
27,216 in. 2

Answers

Answer 1

Answer: 11,448

Step-by-step explanation: I’m not sure if this is correct but I saw this answer a few times on another website similar to Brainly, and I thought it could help you all, if it’s correct.

Answer 2

The surface area of new rectangular prism is 11448 square inches.

What is a rectangular prism?

A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles.  It has 8 vertices, 6 faces, and 12 edges in which all the pairs of opposite faces are congruent.

For the given situation,

Length of the rectangular prism = 18 inches

Width of the rectangular prism = 1 foot = 12 inches

Height of the rectangular prism = 14 inches

All the dimensions are tripled, so multiply all the dimensions by 3.

Length, l = [tex](18)(3)[/tex]

⇒ [tex]l=54[/tex]

Width, w = [tex](12)(3)[/tex]

⇒ [tex]36[/tex]

Height, h = [tex](14)(3)[/tex]

⇒ [tex]42[/tex]

The formula of surface area of rectangular prism is

[tex]A=2(lw+wh+lh)[/tex]

⇒ [tex]2((54)(36)+(36)(42)+(42)(54))[/tex]

[tex]2(1944+1512+2268)[/tex]

⇒ [tex]2(5724)[/tex]

⇒ [tex]11448[/tex]

Hence we can conclude that the surface area of new rectangular prism is 11448 square inches.

Learn more about rectangular prism here

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Related Questions

What is the mean ? 50, 55, 58, 58, 90, 92, 99

Answers

sum of observations

mean =..........................

no. of observations

50+55+58+90+58+92+99 502

....................................... = .........= 71.7

7 7

awnser is 71.7

hope this helped

ILL GIVE BRAINLYEST TO WHOEVER IS CORRECT PLEASE


The dot plots show the amounts, in dollars, that two
waiters made in tips at different tables.
Waiter A: Tips (dollars)
4 6 8 10 12 14 16 18 20 22 24
Waiter B: Tips (dollars)
4 6 8 10 12 14 16 18 20 22 24
Which of the following statements is correct?
A. The mean for waiter B is higher than the mean for waiter A.
B. The mean for waiter A is the same as the mean for waiter B.
C. The mean for waiter A is higher than the mean for waiter B.
O D. There are more tips shown for waiter A than for waiter B in the dot
plots.

Answers

Answer:

A The mean for waiter B is higher than the mean for waiter A.

Answer:

The mean for waiter B is higher than the mean for waiter A.

Step-by-step explanation:

Test approved

11
Solve for A, B, and C:
3
a
<
26°
b
C

Answers

Answer:

A = 154°

B = 26°

C = 154°

Step-by-step explanation:

✔️A = 180° - 26° (angels on a straight line)

A = 154°

✔️<B and 26° are vertical angles. Therefore,

B = 26° (based in the vertical angles theorem, vertical angles are congruent to each other)

✔️C = A (based in the vertical angles theorem, vertical angles are congruent to each other)

Substitute

C = 154°

Find a consecutive odd numbers where the sum of the first three numbers is 15 greater then the final two numbers.

Answers

Answer:

15, 17, 19

Step-by-step explanation:

x + x+2 + x+4 = 15 + (x+2 + x+4)

3x + 6 = 15 + 2x + 21

x = 15

x+2 = 17

x+4 = 19

quadrilateral RUST has a vertex at R (1,5)

what are the coordinates of R after translation (x,y) ---> (x+1,y-2), followed by a dilation by a scale factor of 3, centered at the origin?

A.(6,2)

B(5,8)


C(6,6)


D.(6,9)

Answers

Answer:

D

Step-by-step explanation

translation

x1 = x+1 = 2

y1 = y-2 = 3

(2;3)

dilation

x1 = 3x = 6

y2 = 3y = 9

(6,9)

Find the missing dimension of the following parallelogram.

base= 16 ft

Area=336 sq. ft

Answers

Answer:

21 (PLEASE GIVE BRAINLIEST)

Step-by-step explanation:

we have the base, but we need the height

we will find it using the area:

height = 336 / 16 = 21


What is the value,in degree, of y

Answers

Y= 122.

I did the math.

Answer:

y  = 122º

Step-by-step explanation:

x + z = 116

x = z

2x = 116

x = 58

x + y = 180

58 + y = 180

y = 180 - 58

y  = 122º

Random samples of female and male UVA undergraduates are asked to estimate the number of alcoholic drinks that each consumes on a typical weekend. The data is below:
Females (Population 1): 2, 2, 2, 5, 5, 5, 1, 2, 3, 5
Males (Population 2): 5, 4, 5, 7, 4, 7, 5, 4, 4, 8
Give a 97.6% confidence interval for the difference between mean female and male drink consumption. (Assume that the population variances are equal.)
Confidence Interval =

Answers

Answer:

Confidence Interval =-3.4085 ,+0.7915

Step-by-step explanation:

The confidence interval can be determined by

(x1`- x2`) ± 1.955 √s1²/n1 + s2²/n2

The mean and the standard deviations can be calculated using the calculator.

The mean x1`= ∑x/ n=  2+ 2+ 2+ 5+ 5+ 5+ 1+2+ 3+ 5/10

                                   = 32/10= 3.2

Standard deviation = s1`= 1.536

The mean x2`= ∑x/ n=  5 +4 +5+ 7+ 4+ 7+ 5+ 4+ 4+ 8/10

                                   = 53/10= 5.3

Standard Deviation = s2= 1.4177=1.42

Putting the values

(x1`- x2`) ± 1.955 √s1²/n1 + s2²/n2

(3.2-5.3 ) ± 1.955 √1.54²/10 +1.42²/10

-2.1 ± 1.955 √ 2.37/10 +2.11/10

-2.1 ±  1.3085

-3.4085 ,+0.7915

PLSS HELP
A paper store spent 1/4 of all the money they earned in December to buy new inventory. It used 1/2 of the rest of the money to pay bills. Then, they still had $3,000 left over. How much money did the store earn in December? ​

Answers

Answer:

$8,000

Step-by-step explanation:

Let the store earned $x in December.

Therefore,

Money spent to buy new inventory [tex] =\frac{1}{4} x[/tex]

Remaining money [tex] = x - \frac{1}{4} x =\frac{3}{4} x[/tex]

Money used to pay bills [tex] =\frac{1}{2} \times \frac{3}{4} x=\frac{3}{8} x[/tex]

Money still left over = $3,000

Total money earned in December [tex]= \frac{1}{4} x+ \frac{3}{8} x+3,000[/tex]

[tex]\therefore x= \frac{1}{4} x+ \frac{3}{8} x+3,000[/tex]

[tex]\therefore x= \frac{2}{8} x+ \frac{3}{8} x+3,000[/tex]

[tex]\therefore x= \frac{5}{8} x+ 3,000[/tex]

[tex]\therefore x- \frac{5}{8} x=3,000[/tex]

[tex]\therefore \frac{8x-5x}{8} =3,000[/tex]

[tex]\therefore \frac{3x}{8} =3,000[/tex]

[tex]\therefore x =3,000\times \frac {8}{3}[/tex]

[tex]\therefore x =1,000\times 8[/tex]

[tex]\therefore x =\$8,000[/tex]

Thus, total money earned in December is $8,000.

find the area of each trapezoid or kite

Answers

9514 1404 393

Answer:

  8)  42 in²

  9)  33 cm²

  10)  112 yd²

Step-by-step explanation:

8) The area is given by the formula ...

  A = 1/2(b1 +b2)h

  A = (1/2)(9 in +5 in)(6 in) = 42 in²

__

9) The area is half the product of the lengths of the diagonals.*

  A = 1/2(d1)(d2)

  A = 1/2(6 cm)(11 cm) = 33 cm²

__

10) As in the previous problem, ...

  A = 1/2(14 yd)(16 yd) = 112 yd²

_____

* This formula works for any quadrilateral with perpendicular diagonals.

f(x)=3x 2 +6x−18Find f(10)

Answers

Answer:

342

Step-by-step explanation:

To find f(10), simply substitute x for 10, resulting in 300+60-18 = 342

Khan Question :) will make brainliest <3

Answers

Answer:

150[tex]\pi[/tex]

Step-by-step explanation:

Use the formula [tex]\pi[/tex]r^2h

The radius is 5 and the height is 6

so [tex]\pi[/tex](5)^2(6)

=150[tex]\pi[/tex]

A stock market analyst notices that in a certain year, the price of IBM stock increased on 131 out of 252 trading days. Can these data be used to find a 95% confidence interval for the proportion of days that IBM stock increases

Answers

Answer:

95% confidence interval for the proportion of days that IBM stock increases.

(0.45814 , 0.58146)

Step-by-step explanation:

Step:1

Given that a stock market analyst notices that in a certain year, the price of IBM stock increased on 131 out of 252 trading days.

Given that the sample proportion

                      [tex]p^{-} = \frac{131}{252} = 0.5198[/tex]

Level of significance = 0.05

Z₀.₀₅ = 1.96

Step:2

95% confidence interval for the proportion of days that IBM stock increases.

[tex](p^{-} - Z_{0.05} \frac{\sqrt{p(1-p)} }{\sqrt{n} } , p^{-} + Z_{0.05} \frac{\sqrt{p(1-p)} }{\sqrt{n} } )[/tex]

[tex](0.5198 - 1.96(\sqrt{\frac{0.5198(1-0.5198)}{252} } , 0.5198 +1.96(\sqrt{\frac{0.5198(1-0.5198)}{252} })[/tex]

(0.5198 -  0.06166 , 0.5198+0.06166)

(0.45814 , 0.58146)

Final answer:-

95% confidence interval for the proportion of days that IBM stock increases.

(0.45814 , 0.58146)

Which expression means "10 less than the sum of a and b"?​

Answers

Answer:

B

Step-by-step explanation:

pretty much just gave you the anwsers

The expression means "10 less than the sum of a and b" is 10 - (a + b). Then the correct option is C.

What is subtraction?

It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.

The sum of a and b is given as

→ a + b

Then the meaning of the less than is minus.

That means 10 minus a + b

This can be written as

→ 10 - (a + b)

Thus, the correct option is C.

More about the subtraction link is given below.

https://brainly.com/question/4319655

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Select the correct answer. What is the solution of this system of equations? y = 3x + 5 y = -x + 3

Answers

Rewrite = so is on the left side.

Nine years ago, Tarah opened a savings account with her bank. She started with a balance of $359 and has not made any withdrawals or deposits since then. If her interest rate is 8% each year, how much interest has accrued using simple interest?
What is Tarah's new total balance?

Answers

Answer:

$258.48

Step-by-step explanation:

Cooper invested $3,100 in an account paying an interest rate of 2%
compounded quarterly. Robert invested $3,100 in an account paying an
interest rate of 3 % compounded continuously.After 12 years, how much
more money would Robert have in his account than Cooper, to the nearest
dollar?

Answers

Answer:

Rounded to the nearest dollar, Robert will have $ 505 more than Cooper on his account.

Step-by-step explanation:

Given that Cooper invested $ 3,100 in an account paying an interest rate of 2% compounded quarterly, while Robert invested $ 3,100 in an account paying an interest rate of 3% compounded continuously, to determine, after 12 years, how much more money would Robert have in his account than Cooper to the nearest dollar, the following calculation must be made:

Compound interest formula: Initial x (1 + interest / composition) ^ composition x years

Continuous compound interest formula: Initial x exp ^ (interest x years)

Cooper:

3,100 x (1 + 0.02 / 4) ^ 12x4 = X

3,100 x (1 + 0.005) ^ 48 = X

3,100 x 1,005 ^ 48 = X

3,100 x 1,270 = X

3,938.51 = X

Robert:

3,100 x 2.71828182845904 ^ (3x12) = X

4,443.32 = X

4,443.32 - 3,938.51 = X

504.51 = X

Therefore, rounded to the nearest dollar, Robert will have $ 505 more than Cooper on his account.

Answer:

$139

Step-by-step explanation:

Which function has a range of y < 3?

Answers

The answer is y=-(2)^x + 3

Y<3 because the equation is adding 3 at the end.

Answer:

C.  y=-(2)^x + 3

The diagram below shows a side view of a set of stairs. What is the area shown?


No links, docs, files, drives etc
I will mark the correct answer brainlyest
You earn many points​

Answers

Answer:

468

Step-by-step explanation:

Answer:

468

Step-by-step explanation:

First, we want to break this up into separate pieces, there will be 3 rectangles and 1 square.

each rectangle has a height of 6 and a width of 24. so the area of each rectangle would be 6*24 or 144, then we multiply that by 3 because there are 3 rectangles, when we multiply 144*3 we will get 432.

Now we must solve for the area of the square, on each side, it is 6 cm so we multiply 6*6 so we get 36, that's all we need to do for that now.

to get our final answer we add both answers together so, 432+36 then our final answer is 468 cm

Please help me with my homework and thank you

Answers

Answer:

14.4 m

Step-by-step explanation:

From the question given above, the following data were obtained:

Hypothenus = 36 m

Height of building (H) = 33 m

Length of shadow (L) =?

The length of the shadow can be obtained as follow:

Hypothenus² = H² + L²

36² = 33² + L²

1296 = 1089 + L²

Collect like terms

1296 – 1089 = L²

207 = L²

Take the square root of both side

L = √207

L = 14.4 m

Therefore, the length of the shadow is 14.4 m


The ages of undergraduate students in a state in a particular year approximately follows a normal distribution, with a mean
age of 20.6 years and a standard deviation of 1.3 years.
If the total number of undergraduate students in the state is 430,000, how many students are aged 19 years or more?
A)
123,000
B)
223,000
C)
313,000
D)
383,000

Answers

Answer is b hope this helps

sonya got 8 out of 10 questions right on a quiz.she got the same score on a quiz that had 20 questions. how many questions did sonya get right on the second quiz? how many questions did she get wrong on the second quiz?

MUST SHOW WORK

Answers

Answer:

Sonya got 16 questions correct.

Step-by-step explanation:

8/10=80%

80%×20=16

(To check)

16/20=80%

I WILL GIVE BRAINLY!! HELP!! ASAP!! Links WILL be reported... thank you.

Answers

Answer:

my answer would be c. y=lX+7l

Question 6 of 15
Which of the following is a polynomial?

Answers

Answer:

A

Step-by-step explanation:

The mean for a data set is 60. The Z-score for
data point a is 0. The z-score for data point b
is -0.4. Which are the possible values for data
point a and b?
A. a = 0 and b = 61.2
B. a = 0 and b = 58.8
C. a = 60 and b = 61.2
D. a = 60 and b = 58.8

Answers

Answer:

D. a = 60 and b = 58.8

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Z-score for data point a is 0.

This means that a is the mean, that is, a = 60.

The z-score for data point b is -0.4.

This means that b must be a value below the mean, that is, a value below 60.

The option that satisfies a = 60 and b < 60 is option D, which is the answer.

Brie saves her $5 weekly allowance for several weeks and uses the money to buy a game for $32. She has $8 remaining. For how many weeks did Brie save her allowance

Answers

Answer:

8 weeks

Step-by-step explanation:

hope this helps!!

angle d is a vertical angle to angle f. The measure of angle d is 53 degrees. What is the measure of angle f?

Answers

Answer:

53 degrees

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

Angle D = Angle F as they are vertical angles :)))

Nina purchases a gallon of milk for $3 and some tomatoes for $2 per pound
from the grocery store. Which equation represents the relationship
between the number of poundsp of tomatoes purchased and the total
amount x Nina spent at the grocery store? *

Answers

Answer:

x = 3 + 2p        (2p is 2 times p)

Can Someone Please Help Asap!!

Answers

Answer:

y = 54

x = 36

Step-by-step explanation:

Using tan x or y = opp/adj

Find the area of this trapezoid.

A. 240 cm2
B. 288 cm2
C. 312 cm2
D. 336 cm2

Answers

Answer:

b. 288cm^2

Step-by-step explanation:

[tex]a = \frac{a + b}{2} h[/tex]

[tex] \frac{15 + 21}{2} (16)[/tex]

[tex]a = 288[/tex]

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