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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>
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Ainat [17]
<h2>8, 12, 16,...</h2><h2>Find the 31st term.</h2><h3>352</h3>

<em>Hope I helped.  :)</em>

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<em>- Valenteer</em>

7 0
2 years ago
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For every 8 red pens on the teachers desk there are 12 pencils. If she has 60 writing implements, does she have enough red pens
gavmur [86]

Answer:No she does not

Step-by-step explanation:

8pens + 12pecils= 20writing inplements

20+8+12=40

20+8+12=60

You needed 3 sets of 8 pens and 3 sets of 12 pencils to get 60.

3*8=24

24 is less than 60, so she does not have enough pens for 60 students

7 0
3 years ago
Using the quadratic formula to solve x2 = 5 – x, what are the values of x?
Ivenika [448]

Answer:

x²=5-x

x²+x-5=0

1x²+1x²-5=0

[ax²+bx²+c=0]

∆=b²-4ac

∆=1²-4(-5)(1)=1+20=21

x=(-b±√∆)/2a

x=(-1±√21)/2

meaning:

x=(-1+√21)/2 or x=(-1-√21)/2

4 0
1 year ago
A carpenter charges $720 for 18 hours of work. She charges the same amount of money for each hour of work.
Rainbow [258]

Answer:

A

Step-by-step explanation:

To start off, you know 18 hours= 720

So you could automatically get rid of B and D since 19 and 17 are not 18.

After that, you have it down to A and C. The way you would find how much she charges for one hour is dividing 720 by 18. When you do that it means you are divding 720$ into 18 different groups each group representing an hour. When you divide 720 by 18 you should get 40. So every hour she makes 40 dollars. 40x 2 hours is 80. I hope I helped you!

3 0
2 years ago
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What is the volume of a box measuring 1mX5mX6m?
Flauer [41]

Hey!

To find volume, you have to multiply the length, width, and height. All you have to do is multiply the 3 numbers together.

1 \times 5 \times 6 = 30

<em>The volume is 30 m³.</em>

Good luck and hope this helps! :)

6 0
3 years ago
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