Brainliest pls help
Find the surface area and volume of the prism. Round your answer to nearest tenth.

Answers

Answer 1

Volume:

With this prism, first separate it into a rectangular prism and a right triangle prism.

First, with the rectangular prism, it would have the units 5 * 5 * 6.3. Then with the right triangle prism, it would take the rest of the remaining space of it, being 3 * 5 * 6.3

The equation for the volume of a rectangular prism is L*W*H and the equation for the volume of a right triangle prism is (L*W*H) / 2.

With this, plug the numbers in for both prisms to get the volume of each of them:

Rectangular prism Volume

5*5*6.3

157.5

Right triangle prism Volume

(3*5*6.3) / 2

94.5 / 2

47.25

Lastly, combine these two values to get the total volume:

157.5 + 47.25 = 204.75 (Round Up) -->

204.8 cm^3 = Total Volume

Surface Area:

Next, with the surface area of the prism. For this, lets combine all of the faces of the prism then add them all up.

First, lets do the bottom of the prism, or the base. It uses the lengths 8 cm and 6.3 cm. Lets do L * W to get the area of this face:

8 * 6.3 = 50.4

Next, lets do the slant side of it, which has the lengths 5.8 and 6.3.

5.8 * 6.3 = 36.54

Then, the top side with the lengths 5cm and 6.3 cm.

5.3 * 6.3 = 33.39

After that, the left side face that opposite to the slantly one:

5 * 6.3 = 31.5

Saving the most tedious part of it for last, the right trapezoids. Luckily, there is an equation for this:

1/2 x (Sum of parallel sides) x (perpendicular distance between the parallel sides).

So, within each of these right trapezoids, there's the parallel sides of 5 and 8. There's also a perpendicular side of 5cm. With this, we can plug this into the equation to solve for this part:

1/2 x (5+8) * (5)

1/2 x (13) * (5)

1/2 x (65)

32.5

Since there's two of them, times this by 2:

32.5 * 2 ---> 65.

Now, with the area of all of the faces, these can be added up for the total surface area:

50.4 + 36.54 + 33.39 + 31.5 + 65 ---> 216.83 (Round Down)-->

216.8 cm^2 = Total Surface Area

Related Questions

I am a line that intersects a circle at 2 points WHAT AM I?

Answers

if it’s a riddle i have no idea. if it’s a math question related to the rules of circles it would be a secant line.

A. 19 units
B. 38 units
C. 12 units
D. 22 units

Answers

Answer:

I think 12 is 5he right answer

Consider the salt shaker shown.

5 cm

cm

What is the volume of the salt shaker, including the top? Round your answer to the nearest hundredth.

Volume of Salt Shaker =

Answers

Answer:

Volume of salt shaker = 42.4 cm³ (Approx.)

Step-by-step explanation:

Given:

Height of salt shaker = 5 cm

Diameter of salt shaker = 3 cm

Find:

Volume of salt shaker

Computation:

Radius of salt shaker = Diameter of salt shaker / 2

Radius of salt shaker = 3 / 2

Radius of salt shaker = 1.5 cm

Volume of salt shaker = Volume of cylinder + Volume of Hemisphere

Volume of salt shaker = πr²h + (2/3)πr³

Volume of salt shaker = (3.14)(1.5)²(5) + (2/3)(3.14)(1.5)³

Volume of salt shaker = (3.14)(2.25)(5) + (0.667)(3.14)(3.375)

Volume of salt shaker = 35.325 + 7.068

Volume of salt shaker = 42.4 cm³ (Approx.)

A recipe for pancakes requires 3/4 cup of oil. If Mr. Darcy wants to triple the recipe, how much oil will he need?

Answers

Answer:

2.25, or 2 1/4 or 9/4.

Step-by-step explanation:

3/4 times 3 = 9/4

Find the area of composite figure

Answers

Answer:

Step-by-step explanation:

comments favorite math problem

Answers

You want math problems???

Answer:

Hᴇʏᴀᴀᴀ!! ᴍʏ ɴᴀᴍᴇ ɪꜱ ᴘɪɴᴋʏ ᴀɴᴅ ɪ ᴀᴍ ʜᴇʀᴇ ᴛᴏ ᴀɴꜱᴡᴇʀ ʏᴏᴜʀ Qᴜᴇꜱᴛɪᴏɴ!!ʕ ꈍᴥꈍʔ☆

Step-by-step explanation:

ɪ ᴅᴏɴ'ᴛ ʀᴇᴀʟʟʏ ʟɪᴋᴇ ᴍᴀᴛʜ ʙᴜᴛ ɪꜰ ɪ ʜᴀᴅ ᴛᴏ ᴄʜᴏᴏꜱᴇ ᴀ ꜰᴀᴠᴏʀɪᴛᴇ ɪᴛ ᴡᴏᴜʟᴅ ʙᴇ ᴀʟɢᴇʙʀᴀ!! (◕ᴗ◕✿)

ʜᴀᴠᴇ ᴀɴ ᴀᴍᴀᴢɪɴɢ ɴɪɢʜᴛ ᴏʀ ᴅᴀʏ!

*:･ﾟ✧*:･ﾟꜰʀᴏᴍ ʏᴏᴜʀ ᴏɴᴇ ᴀɴᴅ ᴏɴʟʏ ᴘɪɴᴋʏ ʕ ﾟ ● ﾟʔ✧✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ

Which equation is true?

Answers

Answer:

9 × 8 = 8 × 9 equation is true

Ms. Hall withdrew $20 from her checking account twice a week. Her total withdrawal amount when she last checked was -$220. How many weeks has she been doing this for?

Answers

Answer: five and a half weeks.

Step-by-step explanation: 20 times 2 (the twice a week deposit) = 40. 220 (the negative checking) divided by 40 (the deposits each week) equals 5.5

Qadir has $400.56 in his Friendly Debit card checking account. He uses the card to pay $450.50 to fix his furnace. Four days later, he deposits $150.00 into his checking account. How much money will Qadir have left in his account when the money is taken out to pay for the repair?

Answers

Answer:

$-69.94

Step-by-step explanation:

Amount left after the withdrawal to fix the furnace = $400.56 - $450.50 = $-49.94

He has a negative balance for 4 days. this would attract a 5 dollar fee per day. the total fee would be $20 ( 5 x 4)

Total amount left in his account = $-49.94 - $20

When writing a summary about the theme you should....

A
Include the theme in the first sentence.

B
Write what the message shows you.

C
Write details about the story.

D
All of the above.

Answers

Answer: D, All of the above

Step-by-step explanation:

I think this would be all of the above but I’m sorry if it’s wrong. Hope this helps :-)

solve for x if 2(1+3x) =3

Answers

Answer:

x is 5

Step-by-step explanation:

P varies inversely with the square of Q. When Q is 8, P 9. Find the value of P when Q is 3.

Answers

Answer:

[tex] \alpha [/tex]

1/q²

P=k/Q²

K=P×Q²

Where P=9

Q=8

K=?

K=9×8²

K=9×64

K=573

So where K= 573

Q=3

P=?

P=K/Q²

P=573/3²

P=573/9

P=63.67

Jamal needs several feet of wood for a birdhouse
project. He already has 12 yards. How many feet are
in 12 yards?

Answers

Answer:

Step-by-step explanation:

multiple by the length value by 3

or the figure shown on the right, find m∠3 and m∠4.

Answers

Answer:

m<3=84

m<4=96

Step-by-step explanation:

180-43-41=96

180-96=84

The measure of ∠3 is 96° and measure of ∠4 is 64°.

What is Triangle?

A triangle is a three sided polygon , which has three vertices and three angles with sum 180 degree.

Given that;

In triangle,

Measure of first angle (m ∠1 ) = 43°

Measure of second angle (m ∠2) = 41°

Let measure of ∠4 = x degree

Now, Sum of all angles in a triangle be 180 degree.

So, We can formulate;

m∠1 + m∠2 + m∠3 = 180°

43° + 41° + x = 180°

84° + x = 180°

x = 180° - 84°

x = 96°

So, measure of ∠3 = 96°

Since, The measure of ∠3 and measure of ∠4 are supplementary angles.

Hence, We get;

m ∠3 + m ∠4 = 180°

96° + m ∠4 = 180°

m ∠4 = 180° - 96°

m ∠4 = 64°

Thus, The measure of ∠3 is 96° and measure of ∠4 is 64°.

Learn more about the supplementary angle visit:

https://brainly.com/question/17706490

#SPJ2

Anthony cut a piece of metal that weighed 2,700 grams. Dionne cut a piece of metal that weighed 3,200 grams. How much heavier was Dionne’s piece, in kilograms?
A 0.5 C 50
B 5 D 500

Answers

Answer:

D: 500

Step-by-step explanation:

This is the answer because 3,200 - 2,700 = 500. Can I have a brainliest?

XxRoadToAcexX

Specialized license plates have seven permissible characters: letters, numbers, a dash (-)

and the ampersand (&). How many custom plates are available?

Answers

Answer:

[tex]Total = 38^7[/tex]

Step-by-step explanation:

Given

[tex]Plate\ Number = 7\ characters[/tex]

[tex]Letters \to 26[/tex] [tex]\to [A- Z][/tex]

[tex]Numbers \to 10[/tex] [tex]\to [0 - 9][/tex]

[tex]Dash \to 1[/tex] [tex]\to [ - ][/tex]

[tex]Ampersand \to 1[/tex] [tex]\to [\&][/tex]

Required

Number of possible characters

Since the order and ways of selecting each character is not selected, then it means that any of the permissible character can occupy any of the 7 available spaces, with repetition.

The total possible characters (n) is:

[tex]n = 26 +10 + 1 + 1[/tex]

[tex]n = 38[/tex]

Any of the 38 characters can occupy any of the 7 spaces.

Hence, the total number of character is:

[tex]Total = n^7[/tex]

[tex]Total = 38^7[/tex]

Donnie is packing for a
camping trip. He plans to bring 2 pairs
of shorts and 4 t-shirts. How many
different outfit combinations can he
make?
(No links please :D)

Answers

Answer:

Step-by-step explanation:

4x2=8

Complete the square
to find the vertex
of this parabola.
2
x - 4y-12 x +68=0

Answers

Answer: (6,8)

Step-by-step explanation:

Answer:

(6, 8)

Step-by-step explanation:

Pls help I’ll brainlest hurry due in 3 minutes

Answers

Answer:

Step-by-step explanation:

MOVE TO THE RIGHT 9 TIMES!!

Angle Relationships

Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.

The cosine of the complimentary angle to 38°

a. 0.68
b. -0.16
c. -0.22
d. 0.62

Please select the best answer from the choices provided

Answers

Answer:

D. 0.62

Step-by-step explanation:

I calculated it logically

len
2. Demetri wakes up at 9:15. It takes him
35 minutes to fold 4 loads of laundry,
35 minutes to bathe the dog, 45 minutes
to bake brownies, and 1 hour to mow the
lawn. After he finishes all of his chores,
he sits down to rest. What time does
Demetri rest?

Answers

Answer:

I think the answer is 11.20 am

ILL GIVE BRAINLIEST
YOUR FRIEND JUST OPENED THEIR FIRST CREDIT CARD WHAT ADVICE WOULD YOU GIVE THEM BEFORE THEY START MAKING PURCHASES?

Answers

Answer:

I would tell them to buy a ps5 for me

Step-by-step explanation:

For a credit card be careful with what you buy, save it for the important stuff. Also make sure to constantly check your credit score and to check your purchases to make sure that only what you purchased is on there.

Lauren went to a store to buy some clothes. The shirts were selling at a 20% discount. A pair of pants cost $5 less than 3 times the original cost of a shirt.

If she spent $36 in all, what was the original cost of a shirt?

Answers

Answer:

OMG

Step-by-step explanation:

I had the same question

Answer:

$10.79

Step-by-step explanation:

x = original cost of one t shirt

We can build this equation

x - (20/100) x + 3x- 5 = 36

-1/5x + 4x = 41

-x + 20x = 205

19x = 205

x = $10.79

Please Help. Lateena solved the equation below. Is her solution correct? Explain why or why not?
I've attached the picture for the problem.

Answers

Answer:

Not correct

Step-by-step explanation:

Given:

x² - 6x - 7 = 0

The following equation can be solved correctly by factoring Thus,

x² - x + 7x - 7 = 0

x(x - 1) +7(x - 1) = 0

(x - 1)(x + 7) = 0

(x - 1) = 0

x - 1 = 0

x - 1 + 1 = 0 + 1

x = 1

(x + 7) = 0

x + 7 = 0

x + 7 - 7 = 0 - 7

x = -7

Therefore, the solution would be x = 1 or x = -7

Lateena solution is therefore NOT CORRECT because she used a wrong method.

Plz stop deleting my questions! This is a urgent!!plz help meee!,

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Answer:

Step-by-step explanation:

Its really not hard. Just look at the chart. Find the 96 in the chart. What is it under? Flowers ordered. Which flower? Petunias. So its B. I'm sure you could have figured that out on your own. Not being rude, just telling you.

If the diameter is 111ft then the radius is

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Answer:

55.5 is the I guess........

which measurement is closest to the area of the shaded region in square inches

Answers

The answer is 19 need any work?

Suppose $3500 is invested at a rate of 5% per year compounded monthly.

Answers

The answer is either 20 or 76

Can someone please help me ASAP

Answers

The angle looks like 86

Your IPod has 3 hours of battery remalning. If it has 15 hours when fully charged, what percent charged is it right now?

Answers

Answer:

60%

Step-by-step explanation:

5 hours - 100%

1 hour - 100/5 = 20%

3 hours - 20 x 3 = 60%

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Brainliest pls help Find the surface area and volume of the prism. Round your answer to nearest tenth.

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Brainliest pls help
Find the surface area and volume of the prism. Round your answer to nearest tenth.