surface area of a triangular prism

Surface Area Of A Triangular Prism

Answers

Answer 1

Answer:

54ft squared

Step-by-step explanation:

All faces:

Front: 2*3/2=4.5f squared * 2 (other side)= 9ft squared

Sides: 10*3/2= 15ft squared * 2 (other side)= 30ft squared

Bottom: 3*10/2= 30/2= 15ft squared

=54 ft squared

Answer 2

Surface area of the triangular prism is 96 feet.

What is Surface Area?

The area of a three dimensional object on it's outer surface is called the surface area of the object.

A triangular prism has 2 triangular bases and 3 rectangular lateral faces.

Area of a triangle = [tex]\frac{1}{2}[/tex] × base × height

There are 2 triangles at the top and bottom.

Here base = 3 feet and height = 2 feet

Total surface area on the top and bottom = 2 × [tex]\frac{1}{2}[/tex] × base × height

                                                                     = base × height

                                                                     = 3 × 2

                                                                     = 6 feet

There are 3 rectangular faces.

Area of the rectangle = Length × width

Here, length = 10 feet and width = 3 feet

Area of the rectangular face = 10 × 3 = 30 feet

Since there are 3 rectangular faces,

Total lateral surface area = 3 × 30 = 90 feet

Total surface area of the triangular prism = 90 + 6 = 96 feet

Hence the total surface area of the given triangular prism is 96 feet.

Learn more about Surface Area here :

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Related Questions

Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x−2, y+3).

Triangle ABC on the coordinate plane with the ordered pairs for A as 1,1, B as 2,5, and C as 3,2.

Which coordinates will best represent point B'? (4 points)

Image


(4, 2)

(0, 8)

(−1, 7)

(5, 3)

Answers

Answer:

(0,8)

Step-by-step explanation:

(2,5) to (0,8)

(2-2,5+3) --> (0,8)

Solve for x in the equation x2 - 12x+36-90
0
X=6+3/10
X=6:27
X= 12+3.22
X = 12:3.10

Answers

Answer:

The Answer is A) X=6+3/10

Step-by-step explanation:

x = 6 + 3 √ 10 ,  6 − 3 √ 10

Decimal Form:

x  =  15.48683298 ,  − 3.48683298

Associative
Property

Answers

Answer:

Below

Step-by-step explanation:

The associative property states that you can add or multiply numbers in any group.

Ex:

x + y + z = x + y + z

(x + y) + z = x + (y + z)

x * y * z = x * y * z

(x * z) * y = (x * y) * z

Addition: According to the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped or arranged. Here's an example of how the sum does NOT change irrespective of how the addends are grouped.

Multiplication: According to the associative property of multiplication, the product of three or more numbers remains the same regardless of how the numbers are grouped. Here's an example of how the product does not change irrespective of how the factors are grouped.

Division and Subtraction = NO ASSOCIATIVE PROPERTY

Which is the best reason why 2/5 is the exact quotient for 1/4÷ 5/8 ?

Answers

Answer:

2/5.

Step-by-step explanation:

1/4 / 5/8

= 1/4 * 8/5

= 1*8 / 4*5

= 8/20

= 2/5.

What is 2a+50=5a-4? Thank you for your time.​

Answers

Answer:

2a+50=5a-4

5a-2a=50+4

3a=54

a=18

Answer:

[tex]a=18[/tex]

Step-by-step explanation:

[tex]2a+50=5a-4\\\mathrm{Subtract\:}50\mathrm{\:from\:both\:sides}\\2a+50-50=5a-4-50\\Simplify\\2a=5a-54\\\mathrm{Subtract\:}5a\mathrm{\:from\:both\:sides}\\2a-5a=5a-54-5a\\\mathrm{Simplify}\\-3a=-54\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3a}{-3}=\frac{-54}{-3}\\Simplify\\\frac{-3a}{-3}=\frac{-54}{-3}\\\mathrm{Simplify\:}\frac{-3a}{-3}:\quad a\\\frac{-3a}{-3}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{3a}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{3}{3}=1[/tex]

[tex]=a\\\mathrm{Simplify\:}\frac{-54}{-3}:\quad 18\\\frac{-54}{-3}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{54}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{54}{3}=18\\=18\\a=18[/tex]

Charlie invests £1200 at 3.5% per annum compound interest.

Work out the value of Charlie's investment after 3 years.

Answers

Answer:

£1,330.46

Step-by-step explanation:

Using the compound interest formula [tex]A = P(1+\frac{r}{n} )^{nt}[/tex]

A = amount compounded after n years

P = principal (amount invested)

r = rate (in %)

t = time (in years)

n = time used to compound the money

Given P =  £1200., r = 3.5%, t = 3years, n = 1 year(compounded annually)

[tex]A = 1200(1+0.035)^{3}\\ A = 1200(1.035)^{3}\\ A = 1200* 1.108717875\\A = 1,330.46[/tex]

Value of Charlie's investment after 3 years is £1,330.46

What is the product? 3x^5(2x^2+4+1)

Answers

Answer:

[tex]6x^{7} +15x^{5}[/tex]

Step-by-step explanation:

[tex]3x^{5}[/tex]([tex]2x^{2} +4+1[/tex])

Multiply [tex]3x^{5}[/tex] by each term in the parentheses.

[tex]6x^{7}[/tex] + [tex]12x^{5} +3x^{5}[/tex]

Now, all you have to do is simplify.

[tex]6x^{7} +15x^{5}[/tex]

Galileo improved the telescope and made important historic observations, including discovering four moons of _____. A. Mars B. Jupiter C. Saturn D. Neptune

Answers

Answer:

B: Jupiter

Step-by-step explanation:

hope this helps

Solve this using the substitution method please!! Y=425x+1139/Y=495x

Answers

20 is jenna a ssjsjsn a ans s s s s s s s s s s s. S s s s s s s s. S ss. S s

write 10 examples of cyllnder in your daiy life

Answers

Step-by-step explanation:

milk container

a room spray

coke can

Answer:

Pipes

Cold drink cans

Water tanks

Battery

Gas cylinder

Candle

Test tube

Beaker

Fire extinguisher

PLZ PLZ PLZ HELP HELP HELPPP 14 Find the area of the semicircle. Either enter an exact answer in terms of π πpi or use 3.14 3.143, point, 14 for π πpi and enter your answer as a decimal.

Answers

Answer:

The area of semi-circle is 2π units²

Step-by-step explanation:

The function g(x) = x2 is transformed to obtain function h:

h(x) = g(x) + 1.

Answers

Answer:

Step-by-step explanation:

Draw a diagram for (x+2)(x+4)

Answers

Answer:

Download this mm file

Determine the number of solutions for the quadratic function f(x) = -x^2 + 3x - 9.

Answers

Answer:

0

Step-by-step explanation:

Rewrite the equation as x^2-3x+9=0

find the determinant.

D = b^2-4ac = (-3)^2-4*1*9 <0

no solution

Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!

Answers

Answer:

see below

Step-by-step explanation:

(x + 1.5)² - 2.25 - 28 = 0

(x + 1.5)² - 30.25 = 0

(x + 1.5)² = 30.25

A box of oranges weighs 4 kg. If one orange weighs 80 g, how many oranges are in the box?

Answers

Answer:

50 oranges

Step-by-step explanation:

Convert the measurements for them to be the same ie 4kg to g

1kg=1000g. 4kgx1000=4000g

4000g is the mass of all oranges

1 orange=80g

? =4000g that is 4000/80

=50 oranges

Answer:

50 oranges

Step-by-step explanation:

Since each orange is measured in grams, we convert the 4 kg to g to start.

4 kg is equal to 4000 g.

Each orange weighs 80 g, so we divide 80g into 4000g.

80 divided by 4000 equals 50.

50 oranges are in the box.

I Hope This Helps!

Which of the following is a solution of y - x > -3? (2, -1) (6, 2) (2, 6)

Answers

Answer: (2, 6)

Step-by-step explanation:

y - x > -3

x coordinate is 2 and y coordinate is 6

Plug in the x and y coordinates

6 - 2 = 4

4 > -3

Please help its not working

Answers

Answer:

[tex]33\%[/tex]

Step-by-step explanation:

To work out the percentage of the circle shaded blue, we first must work out the area of the whole circle.

Area of the whole circle = [tex]\pi r^2[/tex]

[tex]r=4+3+3\\\pi * (4+3+3)^2=\pi*10^2=100\pi[/tex]

Now we need to work out the area of the blue 2d torus, by finding out the area of the blue circle, then subtracting the area of the innermost white circle.

Blue shaded area = [tex]\pi(r_{0}{^2}-r_{1}{^2})[/tex]

[tex]r_0=4+3\\r_1 = 4\\\pi ((4+3)^2-(4)^2)= \pi (7^2-4^2)=33 \pi[/tex]

Now we have the total areas of each, we can work out the fraction of blue to non blue by dividing the blue area by the total area, and then working out the percentage by multiplying by 100.

[tex]\frac{33\pi}{100\pi}*100=\frac{33\pi}{\pi}=33\%[/tex]

If /61 is the longest side length in the triangle, find the value of x that makes the triangle above a right triang
answer in simplest radical form.
A. 5
B. 6
C. 2V15
D. 6V10

Answers

Answer:

A. 5

Step-by-step explanation:

The longest side of the right triangle is the hypotenuse and it is √61 units. The other legs of the triangle is x unit and (x + 1) units.

From Pythagoras theorem for right angle triangle, the square of the hypotenuse is equal to the sum of the square of the other sides of the triangle. This implies that:

(√61)² = (x)² + (x + 1)²

x² + x² + 2x + 1 = 61

2x² + 2x + 1 - 61 = 0

2x² + 2x -60 = 0

Dividing through by 2 gives:

x² + x - 30 = 0

x² + 6x - 5x - 30 = 0

x(x + 6) -5(x + 6) = 0

(x-5)(x+6) = 0

x-5 = 0 or x+6 = 0

x = 5 or x = -6

Since the length of a side cannot be negative, x = 5 units

Answer:

The correct answer is A.

Step-by-step explanation:

X=5

If -3/x = x/-27 , What is the positive value of x

Answers

Answer:

-3=x^2/-27

x^2=(-3)(-27)

x=9 or x=-9

Step-by-step explanation:

Nishchal was listening to a song. Shown above are the views of his player showing 'Time elapsed' and 'Time remaining' for the song in minutes and seconds. What is the total duration of the song?

Answers

Answer: T = time remaining + time elapsed.

Step-by-step explanation:

Time elapsed means the time that he has been listening to the song (the minutes passed since he hits the play button)

Time remaining is the time left to finish the song.

Then the total duration of the song will be:

T = time remaining + time elapsed.

"Time Elapsed" simply refers to the time which has been spent listening to the music track. The "time remaining" on the other hand is the time left on for the song to come to an end. Song duration is the addition of both.

How to calculate the total duration of the song

Please note that the information from the question required to give a well-rounded answer is incomplete. Hence the general answer.

To calculate the time duration of the song (which is the total length of the song in terms of time) the Time Elapsed must be added to the Time Remaining.

That is:

Total Duration = Time Elapsed + Time Remaining.

See the link below for more about Song Duration:

https://brainly.com/question/14701526


LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS

13. Which is not a pair of congruent sides in the diagram below?

A) KJ AND JH
B) EF AND JH
C) KJ AND FG
D) EK AND GH

Answers

Answer:

A) KJ AND JH

Step-by-step explanation:

EF = JH  The three lines indicate they are equal

EK = GH  The one line indicates they are equal

KJ = FG  The two lines indicates they are equal

Answer:

A) KJ and JH

Step-by-step explanation:

KJ has 2 tally Mark's which differentiate from the number of 3 tally marks that JH hasKJ is congruent to EG JH is congruent to EF(If the number of tally's are different that means that they are not the same length = not congruent)B - EF and JH both have 3 tally marks therefore indicating it is correct and they are equalC - KJ and FG both have 2 tally marks therfore indicating it is correct and they are equalD - EK and GH both have 1 tally mark therefore indicating it is correct and they are both equal

What is the discriminant of the quadratic equation 0 = 2x² + 3x - 5?
-37
-31
43
49

Answers

Answer:

D 49

Step-by-step explanation:

just did it

The answer is 49 I did the math

Given ƒ(x) = 9x + 54, find x when ƒ(x) = 18. A) −6 B) −4 C) 3 D) 8

Answers

Answer:

-4 =x

Step-by-step explanation:

ƒ(x) = 9x + 54

Let f(x) = 18

18 = 9x+54

Subtract 54 from each side

18-54 = 9x + 54-54

-36 = 9x

Divide each side by 9

-36/9 = 9x/9

-4 =x

Answer: B

Step-by-step explanation:

Well, they told you what f(x) equals. So make the function of f(x) equal to the value they gave, 18

[tex]18=9x+54[/tex]

Subtract 54 from both sides to get:

[tex]-36=9x[/tex]

Divide both sides by 9 to get x = -4

Paul needs to find 310% of 72%. which expression should he use?

Answers

Answer:

2.232, or 223.2%

Step-by-step explanation:

(3.1)(0.72)

Answer:

B

Step-by-step explanation:

i took the test and got it right

Can someone please answer my question: What is 72% of 54?

Answers

Answer:

38.88

Step-by-step explanation:

72% of 54

= [tex]\frac{72}{100}[/tex] × 54

= 0.72 × 54

= 38.88

Answer:

38.88

Step-by-step explanation:

so if you work it out like me then you break it down

100% = 54

10% = 5.4

1% = 0.54  

you would take the 10% (5.4) and times it by 7 to get 70% (37.8) now you would take 1% (0.54) and times that by 2 and then add the 70% and the 1% times 2 together and you should get 38.88

please help me on this!

Answers

Answer:

The rocket reached its maximum height at 1.25 seconds.

Step-by-step explanation:

ABC is similar to APQ. Find x and y.

Answers

Answer:

x = 10.8

y = 11.2

Step-by-step explanation:

AB : AP = AC : AQ

5 :(5+9) = 6 : (6+x)

5: 14 = 6 :(6+x)

5(6+x) = 14*6

30 + 5x = 84

5x = 54

x = 10.8

AB : AP = BC :PQ

5 :14 = 4 : y

5y = 14*4

y = 11.2

The function in the table below shows the relationship between the total number of houses built in an area and the number of months that passed. A two column table with five rows. The first column, Months Passed, has the entries, 0, 3, 4, 8. The second column, Total Houses Built, has the entries 0, 33, 46, 108. Which best describes the data set? It is nonlinear because the “Total Houses Built” column does not increase at a constant additive rate. It is nonlinear because the “Months Passed” column does not increase at a constant additive rate. It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change. It is linear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” shows a constant rate of change.

Answers

Answer: C. I hope this helps ❤️.

Answer:

the correct answer is c

Step-by-step explanation:

What expression represents 6 less than the quotient of a number and 4 is 15

Answers

The answer is B hope it helps
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