1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
PSYCHO15rus [73]
3 years ago
9

WILL GIVE THE BRAINLEST Find the surface area of the triangular prism​

Mathematics
1 answer:
OLEGan [10]3 years ago
3 0

Answer:

<h2>Surface Area =  267 in²   </h2><h2>V = 162 in³</h2>

Step-by-step explanation:

The surface area consists of 3 rectangles of the sides, and the two base triangles.

The front rectangle has dimensions of 12x9, so it's area is 108 in²

The back rectangle has dimensions of 7x12, so it's are is 84 in²

The side rectangle has dimensions of 4x12, so it's area is 48 in²

The top and bottom triangles have a base of 9 and a height of 3, so their area is

A = (1/2)(9)(3) = 27/2, but there are 2 of them, so their combined area is (27/2)(2) = 27 in²

The total surface area is 108 + 84 + 48 + 27 = 267 in²

The formula for volume of a triangular prism is

V = (1/2)bhd    where b is the base of the base triangle, h is the height of the base triangle, and d is the depth of prism.

We have b = 9, h = 3, and d = 12, so the volume is

V = (1/2)(9)(3)(12)

 

   V = (1/2)(27)(12)

           V = (1/2)(324)

<h2>                 V = 162 in³</h2>
You might be interested in
Solve for z <br><br> please help ?!???? or explain?
Sloan [31]

Answer:

Step-by-step explanation:

7 0
3 years ago
Which angle corresponds to angle a?
Mrac [35]
Angle b corresponded to angle a
5 0
2 years ago
You roll a number cube one time. What is the probability that you roll a 6 or 4? Enter your answer as a fraction in simplest for
garri49 [273]

Answer:

1/3 because there are 6 numbers on a number cube and the probability of rolling a 6 or 4 is 2/6 and simplified it would be 1/3

Step-by-step explanation:

if it is right, please mark as brainliest

3 0
2 years ago
Lebron makes 5 cups of punch by mixing 3 cups of cranberry juice with 2 cups of apple juice. How much cranberry juice and how mu
allochka39001 [22]

Answer:

For 4 times the original recipe  Lebron needs 12 cups of cranberry juice with  8 cups of apple juice.

Step-by-step explanation:

For 5 cups of punch Lebron needs 3 cups of cranberry juice with 2 cups of apple juice.

For 4 times the original recipe  Lebron needs 3*4= 12 cups of cranberry juice with 2*4= 8 cups of apple juice.

He will get 20 cups of punch.

We multiply each ingredient of the original recipe by the factor 4 to get the required ingredients of the 4 times product as the original product.

4 0
2 years ago
Find m+n.
Alik [6]
Easy Peasy Lemon Squeezy.

it's difficult because you are looking too hard. think simply. why does it tell you that angle is 40°?

Because if you follow the arrow back to where it starts you will see that exact same angle.

so now you know 1 (not m° or n°) angle inside the triangle is 40° and a complete triangle is 180°.

you also know a straight line has 180° on each side. and the line going from m° to n° splits that in half. meaning there is 90° to the right of it and 90° to the left of it. which means n° must equal 90°.

now you know you have 1 angle inside the triangle with 40° and n°=90° now you just need to find how much m° is.

add 40°+90° then Subtract from 180° to get m°.

180°-130°=50°
m°=50°
6 0
3 years ago
Other questions:
  • madison arrived at work at 8:00 am. she went out for lunch at 11:00 am . she returned at 12:00 pm and worked until 4:00 pm . how
    13·1 answer
  • Does the following table show a proportional relationship between the variables xxx and yyy?
    10·2 answers
  • What is the simple interest on $360 borrowed for 30 months at 12.3%
    6·1 answer
  • PLEASE HELP: The mass of a ball is 128 g. It has a density of 0.5 g/cm³. What is the volume of the ball? Show your work and plac
    8·1 answer
  • Suppose 17% of the listeners of a radio station listen to it while they work. What is the approximate standard deviation of the
    11·1 answer
  • Find the value of sin(θ) for an angle θ in standard position with a terminal ray that passes through the point (-5, -12)
    11·2 answers
  • Solve for x under the assumption that x&gt;0. x-70/x&lt;-3
    11·1 answer
  • Please help! its due today!!
    11·1 answer
  • I’ll give you brainliest, please help!
    7·1 answer
  • Difference between a number line and a number track
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!