find the total surface area of the triangular prism

Find The Total Surface Area Of The Triangular Prism

Answers

Answer 1

Answer:

[tex]1,008\:\mathrm{cm^2}[/tex]

Step-by-step explanation:

The total surface area of this triangular prism consists of three rectangles and two triangles. Adding the areas of each of these shapes allows us to find the total surface area of this 3D figure:

Area of both triangles:

[tex]2\cdot \frac{1}{2}\cdot12\cdot 14=168\:\mathrm{cm^2}[/tex]

Area of all three rectangles:

[tex]15\cdot 20 +13\cdot 20+14\cdot 20=840\:\mathrm{cm^2}[/tex]

Therefore, the total surface area of this figure is:

[tex]840+160=\fbox{$1,008\:\mathrm{cm^2}$} \: \checkmark[/tex]


Related Questions

what expression is equivalent to h + 5 + 3 - 2h​

Answers

8 - h is equivalent to h+5+3-2h

We want to combine like terms. So 5+3=8, and -2h + 1h = -1h. We can rewrite the expression as 8 - h.

The equivalent expression of h + 5 + 3 - 2h​ is -h+8.

What are the equivalent expressions?

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

We have the expression:

h + 5 + 3 - 2h​

To find the equivalent expression:

We simplify the expression,

h + 5 + 3 - 2h​

= h -2h +5+ 3

= -h +8

-h+8 is the equivalent expression of h + 5 + 3 - 2h​.

Therefore, -h +8 is the equivalent expression.

To learn more about the equivalent expression;

https://brainly.com/question/28170201

#SPJ2

What is 11.242/22 eqaul?


I need ASAP

Answers

Answer:

11.242÷22=0.511

Plzzzzz give me Brainliest!!!!!  

sum of two rational numbers is - 8 is 3 by 4 find others ​

Answers

Answer:

Step-by-step explanation:

ans is -35/4.

The answer would be -34/4

please help me whit these ​

Answers

Your answer should be A

sorry if it isnt right

mark brainliest-?

Help pls!! What is the perimeter of triangle FBD?

Answers

Answer:

46

Step-by-step explanation:

AC = 2FD

CE = 2BF

AE = 2BD

2FD + 2BF + 2BD = 2(FD + BF + BD) = AC + CE + AE

2[tex]P_{FBD}[/tex] = [tex]P_{ACE}[/tex] ⇒ [tex]P_{FBD}[/tex] = [tex]\frac{1}{2}[/tex] [tex]P_{ACE}[/tex]

[tex]P_{FBD}[/tex] = 92 ÷ 2 = 46 units

Your family is looking for a new car! They want to purchase the car that has the best miles/gallon in the city. Below are the advertisements for 4 pre-owned 2013-2014 cars. Please help me someone

Answers

Answer:

Although no list of cars was given, you find the top five that I can recommend

Step-by-step explanation:

Kindly note that no sufficient data/information was provided, however, as a way forward to answer this question you can look up the list of  five cars with great miles per gallons

1. Honda Civic

   Engine Type: Gas, Hybrid

   MPG: Up to 35 MPG mixed city/highway for gasoline, 40-50% higher in    

   hybrid engine

   Body Styles: Coupe, Sedan, Hatchback

2. Hyundai Elantra

  Engine Type: Gas, Hybrid

  MPG: Up to 36 MPG mixed city/highway

  Body Styles: Sedan

3. Nissan Altima

   Engine Type: Gas

   MPG: Up to 34 MPG mixed city/highway

   Body Styles: Sedan

4. Toyota Corolla

    Engine Type: Gas

     MPG: Up to 34 MPG mixed city/highway

    Body Styles: Sedan

5. Honda Accord

    Engine Type: Gas, Hybrid

    MPG: Up to 31 MPG mixed city/highway for gasoline, up to 48 MPG for    

     hybrid

    Body Styles: Sedan, Coupe

Which expression is equal to (x – 3)(2x^2 – x + 3)?
O 2x3 + 5x2 + 6x - 9
o 2x3 – 7x2 – 9
o 2x3 – 7x2 + 6x – 9
o 2x3 + 5x2 - 9

Answers

Answer:

C. 2x^3 - 7x^2 + 6x - 9

Step-by-step explanation:

Hope this helps!

Answer:

c

Step-by-step explanation:

Gio wants to serve salad at the party. He will need one head of lettuce for every 6 guests who attend. Write an algebraic expression Gio could use to determine how much lettuce he needs. Gio finds out 18 people are coming to the party. Evaluate the expression for 18 guests

Answers

Answer:

a. y = x/6 b. 3 heads of lettuce

Step-by-step explanation:

a. Write an algebraic expression Gio could use to determine how much lettuce he needs

Since Gio needs one head of lettuce for every 6 guests who attend, then, the number of lettuce y needed for x guests is one head of lettuce/6 guests × x guests is y = 1/6 × x

= x/6

b. Gio finds out 18 people are coming to the party. Evaluate the expression for 18 guests

Since 18 guest come to the party, x = 6. So, y = x/6

= 18/6

= 3 heads of lettuce.

HELLLPPP PLSSSSS(don’t answer if you aren’t serious this is important)

Answers

9514 1404 393

Answer:

∠Q ≅ ∠U∠Q ≅ ∠U'∠S ≅ ∠V

Step-by-step explanation:

The following angles are equivalent:

  Q = U = 45°

  R = T = W = 225°

  S = V = 90°

  X = 135°

Reflection, any rigid transformation, or any uniform dilation will not change the measures of the angles. That is, U = U', for example.

So, the true angle statements are ...

∠Q ≅ ∠U∠Q ≅ ∠U'∠S ≅ ∠V

(SOMEONE HELP ASAPP )In triangle QRS below, 2Q = 53.13º and ZR = 36.87°

Which of the following are true?

Answers

Can you please show the triangle?

please help ill give 20 points!!!

Answers

Answer:

H

Step-by-step explanation:

As you can see the more shirt's that were bought the lower the price becomes per shirt.

This shape is a kite.
Calculate the value of a.
I will give the brainliest to the correct answer!

Answers

Answer:

a = 72

Step-by-step explanation:

the sum of a four-sided polygon's angles equal 360°

so you can add all four angles together and set them equal to 360

a + a + a + 2a = 360

5a + 360

a = 360/5

a = 72

There are four angles in a kite.

The value of a to make the shape a kite is [tex]72^o[/tex].

The sum of angles in a kite is [tex]360^o[/tex]

So, we have:

[tex]a + a + a + 2a = 360^o[/tex]

Add like terms

[tex]5a = 360^o[/tex]

Divide both sides by 5

[tex]a = 72^o[/tex]

Hence, the value of a is [tex]72^o[/tex]

Read more about kites at:

https://brainly.com/question/4350272

Y-2#)_424-435 help me

Answers

Thanks for the points!

Answer:

thanks for points

Step-by-step explanation:

please help! algebra 2

Answers

im sure Its the last one

14. Which of the following pairs of equation are equivalent
2x+8=18 and x=18-12
2x+(-6)=14 and 2x=14+6
21x=38 and 3x=36
6x=182 and x = 182/3​

Answers

Answer:

the second equatin

2x+(-6)=14 that give x=10 and the other 2x=14+6 gives x= 10 so this pair is equal

Help me please. Will give brainliest

Answers

Answer:

The answer is B. they're using the slope equation to figure out the slope. none of the other equations are set up correctly, so B is the correct answer.

Step-by-step explanation:

i hope this helps :))

Y is over x so answer is b

C=(y-6)h solve for y

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:y=c/h +6

PLEASE ANSWER ASAP. WILL MARK AS BRAINLYEST

What is the area, in square units, of the parallelogram shown below?


O 12 square units
O 24 square units
O 48 square units
O 96 square units

Answers

Answer:

96

Plzzzzz give me Brainliest!!!!!  

Answer:

A=b×h

Hence: 12 × 8= 96 square units

Which statement describes the mapping?
Group of answer choices

A. The mapping does not represent y as a function of x, because two of the x-values corresponds to the same y-value.

B. The mapping represents y as a function of x, because each y-value corresponds to exactly one x-value.

C. The mapping does not represent y as a function of x, because there are more x-values than different corresponding y-values.

D. The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value.

Answers

Answer:

b. The mapping represents y as a function of x, because each y-value corresponds to exactly one x-value.

Step-by-step explanation:

Thomas is drawing a map of his city's walking trails. On the map, 5 cm is equal to 2 miles. If a trail is 22.5 cm on the map, how long is the trail in real-life?

Answers

Answer:

9 miles

Step-by-step explanation:

Given that :

Given that:

On map:

5cm = 2 miles

If a map trail = 22.5cm

Length of trail in real life :

(22.5 cm / 5cm) * 2miles

4.5 * 2 miles = 9 miles

The trail is 9 miles in real life

the total cost of a bike cycle and radio is rupees 7000. if the cost of the bike cycle is rupees thousand a more than two times of the cost of the radio find the cost of each of these two items ​

Answers

Answer :

Radio = 2000

Bike = 5000

Hope this helps u

Solve the system of liner equations using substitution
{y=-x+3
3y+5x=-1

Answers

Answer:

[tex]y = - x + 3 \\ 3y + 5x = - 1[/tex]

Step-by-step explanation:

[tex]3( - x + 3) + 5x = - 1 \\ - 3x + 9 + 5x = - 1 \\ 2x = - 10 \\ x = - 5 \\ y = - x + 3 \\ y = 5 + 3 = 8 \\ y = 8[/tex]

Help with this plz bc I don’t want to get I trouble by my teacher

Answers

Answer:

c

Step-by-step explanation:

Answer:

The answer is C. She saves $150 every month

Step-by-step explanation:

Write the equation of the line that passes through the points (-9,-6) and (−8,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

plz help ill give brainliest if correct

Answers

Answer: The slope is 7

m =7

y + 6 = 7 ⋅ ( x + 9 )

Step-by-step explanation:

728 - 3 = queen plus 3 so make sure 4 x 3 is 9

Which fraction has a a value that’s equal to 3/4?

Answers

6/8
Half of 6 is 3 and Half of 8 is 4
It will be 6/8 because the half of 6 is 3 and the half of 8 it’s 4. Hope this helps!

Help plzzzzzzzzzzzzzz ​

Answers

Sooo the answer is......

The perimeter of a rectangle is 160 feet. If the length of the rectangle is 28 feet more than the width, what are the dimensions of the rectangle?

Answers

Answer:

width = 26 ft

length = 54 ft

Step-by-step explanation:

perimeter = 160 ft

width = x

length = x + 28

Perimeter = 2(width) + 2(length)

[tex]2x + 2(x + 28) = 160 \\ 2x + 2x + 56 = 16 0\\ 4x = 160 - 56 \\ x = \frac{104}{4} \\ x = 26[/tex]

width = x = 26

length = x + 28 = 26 + 28 = 54

If mZLKO = 72°, then what is mZJKH?
B
C
E
A
►F
H Η
M

Answers

Answer:

d-"5"_""__"_'uvyctxycuvycycycyv

Mariah is training for the marathon. Today she ran 12 miles for 1 hour and 30 minutes . If the relationship between her distance covered and the number of minutes is proportional, write an equation that Mariah can use to represent the proportional relationship between her distance ( d ) and her time ( t).

Answers

Answer:

d= 8 t

Step-by-step explanation:

In 1 hour 30 minutes it ran for 12 miles.

So, time t =1.5 hours(Because 1 hour 30 minutes)

distance d =12

We know distance d= rate 'r' * time 't'.

So, using given information , find the rate

12= r *1.5

Divide both sides by 1.5

8=r

So,  equation would be d =8 t.

Where 't' is in hours.

Please help 30 points
A recursive definition of an arithmetic sequence is shown below.
a = 7
an = an-1 + 3
Which of the following expressions represents the nth term of this sequence?
A. Ont3
B.
3n + 4
C.O3n +7
D.O7n +3

Answers

S.76,20 hope this helps
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