The Toblerone company packages chocolate candy in a container that is a triangular prism. The base is an
equilateral triangle and each side of the triangle is 60 mm. The height of the triangular prism is 405 mm.
1) What is the total surface area of this triangular prism? Show all work and give answers to 2 decimal
places
2) What is the volume of this triangular prism? Show all work and give answers to 2 decimal places
3) If the chocolate inside the package is 335954.96 mm3,how much empty volume/space is inside the
container? Show all work and give answers to 2 decimal places

Answers

Answer 1

Answer:

76017.69 mm²

631000 mm³

295045.04 mm³

Step-by-step explanation:

Surface area = bh + 2ls + lb

Since the sides of the triangular prism are equal (equilateral triangle) = 60 mm each

Height = 405 mm

The surface area of triangular = 76017.69 mm

The volume of triangular prism :

1/2 * base * height * length

Volume = 631000 mm³

If amount of chocolate inside = 335954.96 mm3

Empty space =

Volume of triangular prism - amount of chocolate inside

631000 - 335954.96

= 295045.04 mm³


Related Questions

Harry received a package for his birthday. The package weighed 350,000 centigrams. Select the conversions that are equivalent to 350,000 centigrams. Select all that apply.

35 kilograms
3,500 decigrams
350 dekagrams
3,500 grams
PLEASE ANSWER PLEASE​

Answers

Given:

The package weighed 350,000 centigrams.

To find:

The conversions that are equivalent to 350,000 centigrams

Solution:

We know that,

1 centigrams (cg) = 0.000001 kilograms (kg)

1 cg = 0.1 decigrams (dg)

1 cg = 0.001 dekagrams (dag)

1 cg = 0.01 grams (g)

Using these conversions, we get

350,000 centigrams = 3.5 kilograms

350,000 centigrams = 35,000 decigrams

350,000 centigrams = 350 dekagrams

350,000 centigrams = 3,500 grams

Therefore the correct options are C and D.

Give me an example of an event that has a 2/5 chance of occuring.

Answers

Answer:

You have 2 red marbles and 3 green marbles in a bag. What is the probability that a red marble is pulled out of the bag?

Which expression is equivalent to (see the picture)

A. 20x-21y +14
B. 20x + 11y + 14
C. 20x - 11y + 6
D. 20x + 21y +6

Answers

where is the picture though

select all the expressions that have a value greater than 19 X 12

Answers

Answer:

123

Step-by-step explanation:

Please help me with this answer

Answers

9514 1404 393

Answer:

x = 12∠H = 94°

Step-by-step explanation:

The marked angles are supplementary, so ...

  (5x +26)° +(8x -2)° = 180°

  13x = 156 . . . . . . . . . . . . . . divide by °, subtract 24

  x = 12 . . . . . . . . . . . divide by 13

  ∠H = (8x -2)° = (8·12 -2)°

  ∠H = 94°

54 people in 1 bus, how many buses for 213 people are needed?

Answers

Answer:

4 buses

Step-by-step explanation:

213/54 = 3.9 but you have to round up to 4 since you can't have 9 tenths of a bus

Which equation of a line is parallel to the graph of y = 3x -5 and passes through the point
(1,5)?

Answers

i believe the answer is C.

the original price of a book is $15 the book is selling for 25% less because of the slight damage .what is the cost of the damaged book

Answers

Answer:

the cost of the damaged book is 11.25

Step-by-step explanation:

since it is 25% off the 100% cost it is dicounted to 75% of the price

multiply full price by 75% (.75) to get 11.25

find height of the density curve​

Answers

Answer:

0.2 on khan academy

Step-by-step explanation:

Home pregnancy tests, like all medical tests, are not perfectly accurate. Suppose one such test has an accuracy level such that if a woman is pregnant there is a 12% chance that the test will fail to show it. On the other hand, if the woman is not pregnant there is still a 3% chance that the test will incorrectly say that she is. Show all the steps including identification of what formulas/properties you used. Points will be deducted from answers if only the final answer is provided.
a) If Joan is pregnant what is the chance that the test will detect it?
b) Based on other factors, Joan estimates there is an 80% chance that she is pregnant.
Therefore, Joan takes a pregnancy test. What is the probability that the test will indicate that she is pregnant?
c) Joan looks at the test result and it does indicate that she is pregnant. Given this test result, what is the probability that she is pregnant?
d) Pamela has also taken this particular home pregnancy test. Before taking the test, she estimated there was a 75% chance that she

Answers

Answer:just go to the doctor

Step-by-step explanation:

The product of two whole numbers is 360 an their sum is less than 100 what are the possible for the two numbers​

Answers

Answer: 36 and 10

Step-by-step explanation:

36 * 10 = 360, 36 + 10 = 46

Can someone help me find the answer to this riddle please?

Answers

Answer: Riddle

Step-by-step explanation: The letters that aren't in the second word, but are in the first make riddle. Like I got the r because it wasn't in bead but it was in bread, etc

Answer:

The answer is "Riddle"

Step-by-step explanation:

First letter: R

Second letter: I

Third letter: D

Fourth Letter: D

Fifth Letter: L

Sixth Letter: E

A box holds 12 markers. Nan takes out 6. Then she puts 2 back. Are there enough markers in the box for Fen to take out 10?

Answers

Answer:

Nope

Step-by-step explanation:

No because you can (12 + 6) +2 and get 8. so yea

What is the midpoint of a line segment with endpoints at (2, 3) and (4,5)

Answers

Answer:

(3, 4)

Step-by-step explanation:

First, find the x coordinate of the midpoint by finding the average of the two x values:

(2 + 4) / 2

6 / 2

= 3

Find the y coordinate of the midpoint by finding the average of the two y values:

(3 + 5) / 2

8 / 2

= 4

So, the x coordinate of the midpoint is 3 and the y coordinate is 4.

The midpoint is (3, 4)

A different pack has 72 cards.
5/9 are yellow
Work out the number of yellow cards.

Answers

40 cards are yellowwww

The probability that the patient recovers from a rare deadly disease is 40% and failure to recover is 60%.If 15 people contracted this disease what is the probability that a. 5 will survive? b. 8 will survive? c.12 will survive?(complete solution)​

Answers

Answer:

a) 0.1859 = 18.59% probability that 5 will survive.

b) 0.1181 = 11.81% probability that 8 will survive.

c) 0.0016 = 0.16% probability that 12 will survive.

Step-by-step explanation:

For each patient, there are only two possible outcomes. Either they survive, or they do not. The probability of a patient surviving is independent of any other patient. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The probability that the patient recovers from a rare deadly disease is 40%

This means that [tex]p = 0.4[/tex]

15 individuals

This means that [tex]n = 15[/tex]

a. 5 will survive

This is P(X = 5). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{15,5}.(0.4)^{5}.(0.6)^{10} = 0.1859[/tex]

0.1859 = 18.59% probability that 5 will survive.

b. 8 will survive

This is P(X = 8). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 8) = C_{15,8}.(0.4)^{8}.(0.6)^{7} = 0.1181[/tex]

0.1181 = 11.81% probability that 8 will survive.

c.12 will survive

This is P(X = 12). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 12) = C_{15,12}.(0.4)^{12}.(0.6)^{3} = 0.0016[/tex]

0.0016 = 0.16% probability that 12 will survive.

please help, the answer below is a option but i need a answer for the question

Answers

Answer:

12 units^2

Step-by-step explanation:

Which expression is equivalent to

Answers

Answer:

x^6

Step-by-step explanation:

Consider this data set.
13, 17, 21, 3, 14, 34, 22, 20, 16, 19, 15
Which data values are outliers?
Select each correct answer
3
13
15
34

Answers

Answer:

3 and 34

Step-by-step explanation:

they are the extremes in this, you want to look for out of place numbers when dealing with outliers

Leon wants to know whether the students at his middle school use e-mail, telephone, or text messaging to communicate most often.
Which group should Leon survey to get the most accurate results?
O A. the students in his math class
O B. every 5th student entering the school
O c. the boys he hangs out with at lunchtime
D. every 8th student who uses the computer center

Answers

Since Leon wants to know whether the students at his middle school use e-mail, telephone, or text messaging to communicate most often, the appropriate group will be D. every 8th student who uses the computer center.

What is communication?

It should be noted that communication simply had to do with the exchange of information.

In this case, Leon wants to know whether the students at his middle school use e-mail, telephone, or text messaging to communicate most often.

In this case, the people who enter the computer center will his him the necessary information that he needs.

Therefore, the correct option is D.

Learn more about communication on:

brainly.com/question/26152499

#SPJ1

2 divided by 1/3 in simpleast form

Answers

Answer:

6

Step-by-step explanation:

When dividing by a fraction flip it over and multiply

2 / (1/3) = 2 * 3/1

2 / (1/3) = 6/1

2 / (1/3) = 6

Consider the points plotted on the number line shown below

Answers

Point D is at 4 so that’s true
Point C is at 2.25 so that’s true
Point A is -1.25 and Point D is 4, so point A is less than point D.
They all look true to me

In 2002, the manufacturers of M&M's surveyed people from around the world and asked them to vote for a new color: purple, aqua, or pink. In the United States, 42% of those who voted said purple, 37% said aqua, and 19% said pink. What's the probability that a randomly picked survey respondent from the United States preferred purple or pink?

Answers

Answer:

don't know

Step-by-step explanation:

dont know...........

how many times does 48 go into 123 ​

Answers

Answer:

48 goes into 123 about 2.5625 times.

Step-by-step explanation:

To determine how many times does 48 go into 123, the following mathematical calculation must be performed, by which 123 will be divided by 48 to obtain said number of times:

123/48 = X

2.5625 = X

Therefore, 48 goes into 123 about 2.5625 times.

Can someone please tell me what 597 ➗ 5 is

Answers

Answer:

119.4

Step-by-step explanation:

Big Brain Dude <:

If OB = 6 and AB = 8, then EA

Answers

Answer:

what is that means i think it's better to ask by take a picture

Marta walked at 4.7 miles per hour for 0.83 hours. How far did she walk?

Answers

The answer is 2.808 I think

Can 11yd 15yd and 27yd be measured

Answers

Answer:

yeah but it depends on what your measuring

have a good day :)

Step-by-step explanation:

A spinner with 6 equally sized slices has 2 red slices, 1 blue slice, and 3 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red slice?

Answers

Answer:

The probability is 2/6, or 1/3 (about 33%)

Step-by-step explanation:

Owen follows the rule "divide by 2" to write the pattern below. He will write two
more numbers to complete the pattern. Which statement is true?
Grace
800, 400, 200, 100, 0, 0
Every number in the pattern will have a 0 or a 5 in its ones place.
Every number in the pattern will have a 0 or a 5 in its tens place.
Every number in the pattern will have a 0 in its ones place.
Every number in the pattern will have a 0 in its tens place.
Done -

Answers

Answer:tbh

Step-by-step explanation:

and\

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