Find the total surface area of these solids

Find The Total Surface Area Of These Solids

Answers

Answer 1

Answer:

#a

This is a cube. Let us find the surface area of the cube now

Surface are of a cube = 6 a²

                                     = 6 × 1.2 × 1.2

                                     = 6 × 1.44

                                     = 8.64 cm²

# b

This is a right trianglular prism.

First you have to find the area of the 2 triangles

Before that,

we have to find the height of the triangle using pythagoras theorem.

Let us solve,

[tex]5^{2} =4^{2} +h^{2} \\25=16+h^{2} \\9 =h^{2}\\\sqrt{9} =h\\3=h[/tex]

Now let us find the area of 2 triangles.

[tex]Area =2*\frac{1}{2} *4*3\\[/tex]

[tex]Area =12mm^{2}[/tex]

Now lets find the total area of 3 rectangles.

( 7 mm × 4 mm) + ( 7 mm × 5 mm) + ( 7 mm × 3 mm )

28 mm² + 35 mm² +21 mm²

= 84 mm²

And now lets find the total surface area of this solid.

12 mm² + 84 mm²

= 96 mm²

Hope this helps you.

Let me know if you have any other questions :-)


Related Questions

Thanksgiving Dinner Logic Grid Puzzle

Answers

Answer:

Step-by-step explanation:

At Splatball Indoor Paintball, it costs $34.95 per person to play, and extra paintballs are available to buy. A group of n friends paid their admission, and also spent $94.95 on 2000 extra paintballs. They spent a total of $374.55. Write and solve an equation to determine n, the number of people in the group.

Answers

Answer:

$374.55 - $94.95 = $279.60 = N

$34.95 x 8 = $279.60

N=8

Step-by-step explanation:

What are the roots of the equation 16x² + 16x + 5 = 0 in simplest a + bi form?​

Answers

Answer:

Below in bold.

Step-by-step explanation:

Using the quadratic formula :

roots =  [-16 +/-√(16^2 - 4*16*5)] / (2*16)

= -0.5 +/- √(-64) /32

= -0.5 +/- 8i/32

= -0.5 + 0.25i and -0.5 - 0.25i

[tex]\sf\longmapsto 16x^2+16x+5=0[/tex]

[tex]\sf\longmapsto x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm\sqrt{16^2-4(16)(5)}}{2(16)}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm√256-320}{32}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm√-64}{32}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm8i}{32}[/tex]

[tex]\sf\longmapsto x=\dfrac{-2\pm i}{4}[/tex]

[tex]\sf\longmapsto x=\dfrac{-1}{2}\pm\dfrac{1}{4}i [/tex]

When you graph a linear equation, it will
form a:
Select one:
a.
curve
O b. square
С.
line
d. all of the above.
Help.

Answers

Answer:

straight line, C

Step-by-step explanation:

The graph of a linear function is a straight line. Graphically, where the line crosses the x -axis, is called a zero, or root. Algebraically, a zero is an x value at which the function of x is equal to 0 . Linear functions can have none, one, or infinitely many zeros.

I hope this helps.

Three out of 8 skittles are are green. Which percent represents the fraction of green skittles in total?

Answers

Answer:

well like this 3/8

Step-by-step explanation:

3/8 and rest is 5/8 in fraction form

Help pleaseeee

Correct answers only​

Answers

Answer: D 10

Step-by-step explanation:

What is the area of this figure?

Answers

Given :-

A figure is given to us .

To Find :-

The area of the figure .

Solution :-

As we can see that the given figure is made up of a parallelogram and a ∆ . As we know that the opposite sides of a parallelogram are equal . So that the base of the ∆ would be 9cm . Now ,

[tex]\longrightarrow[/tex] Area = ar(||gm ) + ar(∆)

[tex]\longrightarrow[/tex] Area = (9*5 + 1/2*8*9)cm²

[tex]\longrightarrow[/tex] Area =( 45 + 45 ) cm²

[tex]\longrightarrow[/tex] Area = 90cm²

Hence the area of the given figure is 90cm² .

15/32×16/27 The / stands for a fraction i would just like help please :)

Answers

Answer:

(24 × 3 × 5) / (25 × 33) =

((24 × 3 × 5) ÷ (24 × 3)) / ((25 × 33) ÷ (24 × 3)) =

(24 ÷ 24 × 3 ÷ 3 × 5)/(25 ÷ 24 × 33 ÷ 3) =

(2(4 - 4) × 1 × 5)/(2(5 - 4) × 3(3 - 1)) =

(20 × 1 × 5)/(2 × 32) =

(1 × 1 × 5)/(2 × 32) =

5/(2 × 32) =

5/(2 × 9) =

5/18

How would you solve for x and y and what are x and y? Not sure what to do.

Answers

Answer:

x = 26 2/3

y = 50

Step-by-step explanation:

you could set '2y-3x' equal to '-3x+y+50' because they are vertical angles

2y - 3x = -3x + y + 50

add 3x to each side to get:

2y = y + 50

y = 50

also, we know that (1/2y + 25) + (2y - 3x) = 180 because they form a straight line

3/2y + 25 - 3x = 180

subtract 25 from each side to get:

3/2y - 3x = 155

substitute 50 for 'y' to get:

3/2(50) - 3x = 155

75 - 3x = 155

-3x = 80

x = 26 2/3

please explain it to me that how I gonna answer this : integral of secx I know the answer but how?​

Answers

Answer:

We know that the derivative of sec x is sec x tan x. Thus, the integral of sec x tan x is sec x. i.e., ∫ sec x tan x dx = sec x + C.

Step-by-step explanation:

The standard trick used to integrate secx is to multiply the integrand by 1 = sec x+tan x. sec x+tan x. and then substitute y = secx + tanx, dy = (secxtanx + sec2 x) dx. ∫ secx dx = ∫ secx sec x+tan x).

Select all the rates equivalent to the rate 3/4 cup per pound

Answers

Answer:

Step-by-step explanation:

Multiply the decimal by 100 and write the result with the percentage sign: 0.75 × 100 = 75%.

what is the vertical asymptote for this function?
y=1/x-2

Answers

Answer: x = 0

Step-by-step explanation: so x = 0 is the equation of the vertical asymptote, and 0 must be left out of the domain: (−∞,0)U(0,∞) in interval notation.

Answer:

2

Step-by-step explanation:

Select the ordered pair that is a solution to the equation represented by the graph.

Answers

Answer:

c

Step-by-step explanation:

Ann made a scale drawing of a theater. The scale she used was 1 inch : 7 feet. The stage is
28 feet wide in real life. How wide is the stage in the drawing?
inches

Answers

Answer:

4 in

Step-by-step explanation:

Use ratios and solve:

1 in ÷ 7 ft = x in ÷ 28 ftx = 28/7 inx = 4 in

The distance, d, that an object foto is directly proportional to the square of the time, t, it has been in free fall. An object that has been in free fall for 8 seconds has fallen 1024 feet. Determine the distance the object has fallen if it has been falling for 2 seconds

Answers

Answer:

d = 64 feet

Step-by-step explanation:

Given that d is directly proportional to t² then the equation relating them is

d = kt² ← k is the constant of proportion

To find k use the condition t = 8 , d = 1024 , then

1024 = k × 8² = 64k ( divide both sides by 64 )

16 = k

d = 16t² ← equation of proportion

When t = 2 , then

d = 16 × 2² = 16 × 4 = 64 feet

Pls hurry!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

It's B.

Step-by-step explanation:

Solve each equation.
1. r-38= 9 _____
2. h+17=40 _____
3. n + 75= 155 ____
4. q - 17= 18 _____

Answers

Answer:

1. r - 38 = 9

=> r = 9 + 38

=> r = 47

2. h + 17 = 40

=> h = 40 - 17

=> h = 23

3. n + 75 = 155

=> n = 155 - 75

=> n = 80

4. q - 17 = 18

=> q = 18 + 17

=> q = 35

Step-by-step explanation:

Hoped this helped.

A cylinder has a base radius of 8 meters and a height of 19 meters. What is its
volume in cubic meters, to the nearest tenths place?

Answers

Answer:V≈3820.18m3 the best i got

Step-by-step explanation: V=πr2h=π·82·19≈3820.17667m³ i hope this helps

A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Rashaad measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot.

Answers

The given question is on trigonometry which requires the application of required function so as to determine the value known. So that the length of the guy wire is 67.0 feet.

Trigonometry is an aspect of mathematics that requires the application of some functions to determine the value of an unknown quantity.

Let the length of the guy wire be represented by l, and the angle that the guy wire makes with the stake be θ. So that applying the appropriate trigonometric function to determine the value of θ, we have:

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

          = [tex]\frac{11}{4}[/tex]

Tan θ = 2.75

θ = [tex]Tan^{-1}[/tex] 2.75

  = 70.0169

θ = [tex]70^{o}[/tex]

Considering triangle formed by the tower and the stake to determine the value of l, we have;

Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Cos [tex]70^{o}[/tex]  = [tex]\frac{23}{l}[/tex]

l = [tex]\frac{23}{Cos 70^{o} }[/tex]

 = [tex]\frac{23}{0.3420}[/tex]

l = 67.2515

l = 67 feet

The length of the guy wire is 67 feet.

For more on trigonometric, check: https://brainly.com/question/6459892

100 POINTS IF U GET THIS RIGHT!

Answers

Answer:

●y= mx + c

y = 9x + 1/2

slope m =9

a teacher brought to class a pack of notebooks. if her gives his students 5 notebooks to each, he will have 7 notebooks left. if he tries to give each student 7 notebooks, he will be 5 notebooks short. how many students are there in the class?

Answers

Answer:

6 students

Step-by-step explanation:

Let the number of notebooks be $x$ and the number of students be $y.$

If there are 5 notebooks per student, we have:

$x-5y=7$

Simliairly, we have 7 notebooks per person, which is:

$x-7y=-5$

Then, using system of equations, we can add multiply the first equation by $-1$ and then add.

We would have:

$-1(x-7y=-5)=-x+7y=5$

Then, adding gives us:

$2y=12$

$y=6$

There are 6 students in the class.

Let x represent the number of students that are there in the class.

The teacher her gives his students 5 notebooks each, and still has 7 notebooks left.

The number of note books = 5x + 7    (1)

The teacher her gives his students 7 notebooks each, and was 5 notebooks short.

The number of note books = 7x - 5   (2)

Therefore equating equations 1 and 2:

5x + 7 = 7x - 5

7x - 5x = 7 + 5

2x = 12

x = 6

There are 6 students in the class.

Find out more at: https://brainly.com/question/24169758

work out the circumference area of glass on top of a cabinet with a diameter of 1.8, using tt=3.4

Answers

Use pi, and if you still can’t find it, then ask Brainly.com/Ididntrobabank

Evaluate the following by writing it as a difference of two squares first:
103^2 − 97^2

Answers

Answer:

1200

Step-by-step explanation:

A difference of 2 squares factors in general as

a² - b² = (a - b)(a + b) , then

103² - 97²

= (103 - 97)(103 + 97)

= 6 × 200

= 1200

The correct answer is 1200.

What is the difference between two squares called?

Where one perfect square is subtracted from another, is called a difference of two squares. It arises when (a − b) and (a + b) are multiplied together. This is one example of what is called a special product.

A difference of 2 squares factors in general is written as

a² - b² = (a - b)(a + b) , then

103² - 97²

= (103 - 97)(103 + 97)

= 6 × 200

= 1200

Learn more about the difference of 2 squares here https://brainly.com/question/3189867

#SPJ2

8.
Use vertex form to write the equation of the parabola.
A. y= 3(x - 2)^2 - 2
B. y= (x + 2)^2 + 2
C. y= 3(x + 2)^2 + 2
D. y= 3(x - 2)^2 + 2

Answers

Answer:

C. y= 3(x + 2)^2 + 2

Step-by-step explanation:

A. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( 2 , − 2 )

B. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( − 2 , 2 )

C. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( − 2 , 2 )

D. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( 2 , 2 )

Xavier wants to order CDs online. Each CD costs $17.50 and shipping is $4. He only has $90 to spend.

Answers

76.5 I think is the answer
There is no specified question. If it’s asking how many cds can be bought, then the answer is 4.


14. A baby weighed 7 lb 3 oz at birth. Four months later, the baby
weighed 13 lb 5 oz. Find the percent of increase in the baby's
weight. Round to the nearest tenth

Answers

Answer:

I'm an island boii ️️

At time t = 0, water begins to drip out of a pipe into an empty bucket. After 77 minutes, there are 11 inches of water in the bucket. Write a linear function rule to model how many inches of water w are in the bucket after any number of minutes t.
The linear function rule is W =​

Answers

Answer:

  w = 1/7t

Step-by-step explanation:

Assuming the rate is constant, the function will be ...

  w = kt

We can find k using the given values:

  11 = k·77

  k = 11/77 = 1/7

The linear function rule is w = 1/7·t.

Draw triangle GMT

PLS CREATE DRAWING!! refer to attachment

Answers

The angle between sides GM and MT is ∠M.

The 2 sides that include ∠T are MT and GT.

The angle between sides GT and MG is ∠G.

There's not much to say about this, but I can answer questions if you have any.

What is the value of p²q² given that p=10 and q=8?

Answers

Answer:

6400

Step-by-step explanation:

Substitute the given value into the expression

p²q²

= 10² × 8²

= 100 × 64

= 6400

Step-by-step explanation:

given that p=10

you would times 10 by itself so:

10x10=100

now the same for the q=8

8x8=64

now i think you would have to times 100 with 64 if not than there's your answer

which equals to 6400 (if you times it)

hope that helps

Help plz. No links.



What is 8.21 times 4.2?

Show your work.

Answers

Answer:

34.482 is the answer to your question

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