A triangular prism has a base that is an isosceles triangle with sides ​14 cm, 14cm ​, base 9 cm ​, and height 13 cm. The height of the prism is 32 cm. What is the surface area of this​ prism?

Answers

Answer 1

Answer:

Surface area of prism = 1301 cm²

Step-by-step explanation:

A triangular pyramid has 3 rectangular sides and 2 triangular sides.

Now, we are told that the triangular side is isosceles.

This means that two of the rectangular sides which share a side with the equal side of the triangle are equal as well as the 2 triangular sides.

Surface area of prism = 2(area of triangular face) + 2(area of rectangle sharing one side with the equal side of the triangle) + (area of rectangle sharing side with the unequal side of the triangle).

Area of triangle = ½ × base × height

Area of triangle = ½ × 9 × 13 = 58.5 cm²

Since height of prism is 32 cm, then;

area of rectangle sharing one side with the equal side of the triangle = 32 × 14 = 448 cm²

area of rectangle sharing side with the unequal side of the triangle = 32 × 9 = 288 cm²

Thus;

Surface area of prism = 2(58.5) + 2(448) + 288

Surface area of prism = 1301 cm²


Related Questions

1. A rectangular fish tank 60 cm by 15 cm by 34 cm find the volume of water needed to fill the tank 2/3 of the given aquarium.

First correct answer will be brainlist ​

Answers

yes i will because 60+15 is 75

can u help me with this question ​

Answers

Answer:

3. y = -2√(x+3) - 5

Explanation:

reflected across the x-axis: the y is negative (2 eliminated)

vertically stretched by a factor of 2 (they're all stretched by a factor of 2)

translated left 3 units (1 eliminated)

translated down 5 units (4 eliminated)

3 is left which is y = -2√(x+3) - 5

I need help please i don’t understand

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

The dimensions will be those of a rectangular mirror if the diagonal measure is the hypotenuse of the right triangle with the given side lengths.

The Pythagorean theorem would require for some width w ...

  w^2 +24^2 = 30^2

  w^2 = 900 -576 = 324

  w = √324 = 18

A rectangular mirror with a length of 24 inches and a diagonal of 30 inches will have a width of 18 inches, not 16.

__

The attachment shows that a width of 16 inches is not consistent with a right-angle corner.

_____

Additional comment

If you reduce the given numbers to lowest terms by dividing them by 2, they become 8, 12, 15. That is, the two shortest sides are even and the longest is odd. Any set of integer dimensions for a right triangle must have an even number of odd numbers (0 or 2). These numbers cannot be a Pythagorean triple, so cannot make a right triangle.

what is this i HATE math Oh MY GOD

Answers

As a Decimal it is 0.0625

What is the surface area of the cylinder with height 4 mi and radius 3 mi? Round your answer to the nearest thousandth.

Answers

Answer:

The surface area of the cylinder will be "131.88".

Step-by-step explanation:

The given values are:

Height of cylinder,

h = 4 m

Radius of cylinder,

r = 3 m

As we know,

The surface are of cylinder is:

⇒  [tex]A_s=2 \pi r(h+r)[/tex]

On substituting the values, we get

⇒       [tex]=2\times 3.14\times 3(4+3)[/tex]

⇒       [tex]=18.84\times 7[/tex]

⇒       [tex]=131.88[/tex]

A carpenter lays 18 square feet of tile in 2/3 of an hour. How many square feet of tile does the carpenter lay per hour?

Answers

Answer:

x=24

Step-by-step explanation:

there are different ways to solve the problem

set up a proportion:

16/(2/3)=x/1

cross multiply

(2/3)x=16

(3/2)(2/3)x=(3/2)(16)

x=24 square feet per hour

a carpenter lays 16 square feet in 40 minutes (2/3 of an hour)

this means he lays 4 square feet every 10 minutes

8 square feet in 20 minutes

12 square feet in 30 minutes

24 square feet in 60 minutes

Someone help please !!

Answers

Answer:

what grade is this?

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

false

Step-by-step explanation:

a parallelogram is defined as a four sided figure with opposing sides parallel. So, a rectangle counts as a parallelogram, but all of its sides aren't equal

plz help me 2 plz 2 plz 2

Answers

Step-by-step explanation:

P(-4,7)

Q(-1,-1)

R(-8,-1)

Solve for for n. 10(n+4) = 63

Answers

Answer:

n=23/10

Step-by-step explanation:

10(n+4)=63

n+4=63/10

n=63/10-4

n=23/10

decimal form: 2.3

PLZ HELPPP.3+28/z +4s use z=7 and s=5

Answers

3+28/7+4*5 /reduce the fraction with 7
=> 3+4+20
=> 27

How many inches are equal to 14 feet?

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Random GUIDE for you to go by}\downarrow[/tex]

• [tex]\large\textsf{12 inches = 1 foot}[/tex]

• [tex]\large\textsf{You have to MULTIPLY the \# (NUMBER) of feet by 12 (also known as} \\\large\textsf{your inches)}[/tex]

[tex]\large\text{So now that you have that little guide, we can answer your question.}[/tex]

[tex]\large\textsf{\# of FEET in this given word problem/question is: \bf 14}[/tex]

[tex]\large\textsf{So, we have to multiply that by the inches: \bf 12}[/tex]

[tex]\large\textsf{Equation: }\mathsf{14\ feet \times 12\ inches = \bf 168 \ inches }[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 168 inches}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Plzzz can someone help me out???

Answers

I think its the third one, the equation one,

Explain how to find the quotient of: (8a3+31a2-20a-5)/(8a-1)

Answers

Answer:

Quotient = a²+ 4a- 2

Step-by-step explanation:

(8a3+31a2-20a-5)/(8a-1)

 =

             a²  +4a-2     ⇒ quotient

(8a-1)√(8a3+31a2-20a-5)

              8a²- a²                  ⇒       Multiplying  (8a-1) by a²

             -     +        ⇒   Changing signs

                     32a²- 20a- 5                

                    32a²- 4a            ⇒   Multiplying  (8a-1) by 4a

                    -        +     ⇒Changing signs

                             -16a -5

                             - 16a +2          ⇒    Multiplying  (8a-1) by -2

                              +       -      ⇒  Changing signs

                                         -7  ⇒ Remainder

We follow the steps of simple division to get the quotient which is a²+ 4a- 2

We multiply  (8a-1) by factors such as a², +4a and -2 to get the same terms as given in the dividend.

Find the area of each figure.



Please no links
Please help meee
This is the last question for my assignment

Answers

The area of the circle is pie times radius squared. In this case the radius is 3.5 and that to the second power would be 12.25

(What your finding is a half circle so you can divide by two if needed but the total area would not change since you would be adding them together anyway)

The rectangle is 77 because the area is base times height.

I hope I was helpful!

Solve the system using the substitution method. -5x – 8y = 17 x = 3.5y – 8.5 NO LINKS PLEASE HELP LINKS = REPORT

Answers

Answer:

x=-5 , y=1

Step-by-step explanation:

-5x-8y=17

x=3.5y-8.5

-5(3.5y-8.5)-8y=17

-17.5y+42.5-8y=17

-25.5y+42.5=17

-25.5y=-25.5

y=1

x=3.5(1)-8.5

x=-5

Confused on this one help me solve for point B

Answers

Answer:

1,-1

Step-by-step explanation:

because section be is for +,-

Answer:

1,-1

Step-by-step explanation:

How many centimeters are equal to 9 meters?

Answers

i think Is 9p centímetros

Hi can somebody help me, also explain what a alter interior angle is please

Answers

Answer:

a interior angle is a the angle between adjacent sides of a rectilinear figure.

it is 6

--heart if it helped you!--

Determine if the sequence below is arithmetic
or geometric and determine the common
difference / ratio in simplest form.
2, 7, 12, ...

Answers

Answer:

2,7,12... is an arithmetic sequence & the common difference between each of them is +5 .

Step-by-step explanation:

Hope this helps u ;)

Good luck .

The given sequence is an ''Arithmetic sequence'' with common difference 5.

What is Arithmetic sequence?

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

We have to given that;

The sequence is,

⇒ 2, 7, 12, ...

Now, We can find the common difference as;

The sequence is,

⇒ 2, 7, 12, ...

Common difference = 7 - 2 = 5

Common difference = 12 - 7 = 5

Hence, It is an Arithmetic sequence.

Thus, The given sequence is an Arithmetic sequence with common difference 5.

Learn more about the Arithmetic sequence visit:

https://brainly.com/question/6561461

#SPJ7

Find the total surface area of the prism below​

Answers

Do not click that link

how many unique triangles can be drawn with side lengths of 3 units, 4 units, and 5 units

Answers

Answer:

1 perfect right angle

Step-by-step explanation:

please mark this answer as brainlest

ILL BRAINLIEST YOU IF YOU GET IT RIGHT

Can you help me match each figure with the appropriate angle pair relationship

Answers

Answer:

co interior angle plz take my and

Answer:

1) Alternate exterior

2) alternate interior

3) consecutive interior angles

Alright so here’s a trick

Alternate already means different sides so look for that.

Interior angles are all the angles inside the two parllel lines.

Exterior angles are all angles out side the two parralel lines.

No matter what if its alternative interior or exterior, it should make a perfect

“/“ or back slash.

Consecutive is on the same side.

Corresponing is also on the same side but it has 1 exterior and 1 interior

Use the given equation to complete the table s = 16t^2 using the points from the table select the graph the best represents the equation a. 0, 16, 64, 144; graph a b. 0, 4, 8, 12 graph a c. 0, 16, 64, 144; graph b d. 0, 4, 8, 12; graph b

Answers

Answer:

0, 16, 64, 144

Step-by-step explanation:

I substituted the t values into the giving equation and solved until it gave the s values.

I hope this helps^-^

Answer:

It's A

0, 16, 64,144 graph A edge

Step-by-step explanation:

I got it right see

What shape is made from these the following points? (1,1),(4,4),(4,1),(1,4)

Answers

Answer:

Rectangle

Step-by-step explanation:

Draw the dots on a grid and connect the dots

two sides have length of 3

two sides have length of 4

A person swims 11 miles downstream in the same time they can swim 7 miles up stream. The speed of the current is 4 miles per hour.
These situations can be represented by the equations
Downstream: t=11/s+4 Upstream:t=7/s-4,
where t stands for time and s is the speed of the swimmer. What is the speed of the swimmer swimming in still water?

Answers

Answer:

s = 18 mph

Step-by-step explanation:

At downstream, time is; t = 11/(s+ 4)

At upstream, time is; t = 7/(s - 4)

Since they both are passed in the same time, then ;

11/(s+ 4) = 7/(s - 4)

Cross Multiply to get;

11(s - 4) = 7(s + 4)

11s - 44 = 7s + 28

11s - 7s = 44 + 28

4s = 72

s = 72/4

s = 18

Ashleys Shoe Store buys shoes for $35 and then sells them for
$85.
What is the percent of increase on the price of the shoes?
Round to the nearest whole number

Answers

Step-by-step explanation:

% Increase = ((New value - Old Value) / Old Value) * 100

Given New value = $85

and Old Value = $35

% Increase =

[tex] (\frac{85 - 35}{35} ) \times 100 \\ = ( \frac{50}{35} ) \times 100 \\ = 143percent(nearest \: whole \: number)[/tex]

Megan has $25 to spend at the movies. If her ticket cost $8.75 and she already
purchased a drink for $3.50, how much does she have left to spend on snacks?

Answers

If you add the price of the ticket and drink it comes out to 12.25, subtract from 25 and the answer is 12.75

Answer:

$12.75

Step-by-step explanation:

8.75 + 3.50 = 12.25

25 - 12.25= 12.75

i need help btw i am in middle school

Answers

Answer:$32.86

Step-by-step explanation:

multiply the percent (6%) by 31$ which will get you 1.86. that's the tax amount. so then you add that to $31 and get $32.86

Answer:

C. 32.86

Step-by-step explanation:

The equation to calculate how much the tax is

31 x 0.06

This equals 1.86

Now add the original price and the tax amount together.

31 + 1.86 = 32.86

Therefore, the answer is 32.86

What’s the equation

Answers

Answer:

The equation of the line is;

y = 0.8x + 1

Step-by-step explanation:

Here, we want to get the equation of the line

The general equation of a straight line is;

y = mx + b

m

is the slope and b is the y-intercept

The y-intercept is simply the point on the y-axis where the line crosses the y-axis

we have this point at (0,1)

so we have;

y = mx + 1

to get m, we get any other point on the line and substitute its coordinates before we solve for m

we can identify the point (-2.5, -1)

substituting the coordinates

-1 = -2.5(m) + 1

-2.5m = -1-1

-2.5m = -2

m= 2/2.5

m= 0.8

so we have the equation of the line as;

y = 0.8x + 1

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