Find the total surface area of these solids

Find The Total Surface Area Of These Solids

Answers

Answer 1
Step-by-step explanation:We firstly find the surface area of only one face of the cube:Sa=a²Sa=1.2²cmSa=1.44cm²

Since the cube has 6 faces we multiply the surface area of one face(144cm²) with 6

Area(cube)=1.44cm²*6

=8.64cm²

Same thing with the prism but we have to find the area of one of his triangle face and rectangle face

S(triangle)=5mm*4mm*1/2

=10mm²

S(rectangle)=7mm*5mm=35mm²

The prism has 2 triangle faces and three rectangle faces so we multiply the area by those numbers and then we add those together to get the final area

S=10mm²*2+35mm²*3

S=20+105

S=125mm²

Hope this helped..Hope this helped..Brainliest pls..

Related Questions

What is the mean absolute deviation of the data set? {12, 4, 30, 16, 18} 2. 8 5 2006. 4 16.

Answers

Answer:

12 3 30 16 18 2 8 6 2006 4 16 12 4 12 13

The sides of a triangle are in the ratio 3, 4, 5. State whether the triangle is right angled or not.

Answers

Answer:

If the sides of a triangle are in the ratio 3:4:5, prove that it is a right-angled triangle.

Step-by-step explanation:

In order to prove that the triangle is a right-angled triangle or not, take the ratio as the length of the sides then consider the triangle to be a right-angled triangle, then prove the Pythagoras theorem. If the sides satisfy the Pythagoras theorem, then it’s a right-angled triangle otherwise, it’s not a right-angled triangle.

We are given the sides of a triangle whose ratio is 3:4:5.

Considering the sides to be 3x,4x,5x.

Since, we know that the length of hypotenuse is always greater than the other two sides, so we are taking the hypotenuse to be 5x and other remaining sides to be 3x and 4x.

We are only considering that the given triangle is a right-angled triangle. For that we need to prove that the sides follow Pythagoras theorem.

So, for Pythagora's theorem, we know that the sum of the square of the base side and square of the height side is equal to the square of the hypotenuse.

Squaring the base side 4x, we get:

(4x)2=16x2 …….(1)

Similarly, squaring the height side 3x, we get:

(3x)2=9x2 …….(2)

Squaring the hypotenuse side 5x, and we get:

(5x)2=25x2 …….(3)

Taking the sum of (1) and (2):

16x2+9x2=25x2, which is equal to the equation (3).

That means the sum of the square of base and the square of height is equal to the square of hypotenuse, that satisfies the Pythagoras theorem, that implies the triangle ABC is actually a right-angled triangle, which is right-angled at B. And this proves our consideration to be true.

Answer:

it is a right triangle

Step-by-step explanation:

If the triangle is a right triangle, it will meet the Pythagorean theorem

a^2 + b^2 = c^2

3^2+4^2 = 5^2

9+16=25

25=25

This is true so it is a right triangle

Please anyone I’m desperate

Answers

Answer:

the answer is B) 12a+6b

Step-by-step explanation:

3+9=12 so 3a+9a=12a,

7-1=6 so 7b-(1)b=6b

Step-by-step explanation:

calm down ! just breathe.

these are totally simple additions and one also very simple subtraction to make.

you know that you can combine terms based on the same variable, right ?

3a + 9a = 12a

7b - b = 6b

the result is then

12a + 6b, so B is the right answer.

this bases already on the same principle of actual numbers.

2×3 + 5×3 = 7×3 because this is also

(2 + 5) × 3

or

6×5 + 6×3 = 6×8 because this is also

6 × (5 + 3)

or

7×8 - 4×8 = 3×8 because this is also

(7 - 4) × 8

and so on.

What are the slope and the y-intercept of the linear function that is represented by the graph?

Answers

Answer:

Slope = -3/4

Y-intercept = (0, 3)

Step-by-step explanation:

Rise/Run

-3 Rise and 4 Run

Meets y-axis at y=3. x=0, so (0, 3).

Answer:

y intercept is 3 and the slope is -3/4

Step-by-step explanation:

the line hits the y axis at point 3, and the slope is the rise over run so it is down three and right 4 so -3/4

Why rectangular coordinates are better than polar.

Answers

Answer:

Rectangular coordinates, or cartesian coordinates, come in the form (x,y).. Polar coordinates, on the other hand, come in the form (r,θ). Instead of moving out from the origin using horizontal and vertical lines, we instead pick the angle θ, which is the direction, and then move out from the origin a certain distance r.

A machine depreciates by 1/4 of its value each year. If it cost $50,000 new,
what is its value after 8 years?

Answers

Step-by-step explanation:

The price of machine=$50000

depreciates rate (R )=1/4×100%

=25%

− 11/12 + p = 1/6


what does p =

Answers

Answer:

13/12

Step-by-step explanation:

p=1/6+11/12=(2+11)/12=13/12

[tex]⇒ - \frac{11}{12} + p = \frac{1}{6} \\ p = \frac{1}{6} + \frac{11}{12} \\ p = \frac{2 + 11}{12} \\ p = \frac{13}{12} [/tex]

which process do you preferred in identifying if the binomial is a factor of the polynomial?

Answers

Step-by-step explanation:

Remainder Theorem states that if polynomial f(x) is divided by a linear binomial of the for (x - a) then the remainder will be f(a). Factor Theorem states that if f(a) = 0 in this case, then the binomial (x a) is a factor of polynomial f(x).

How to find the null and alternative hypothesis.

Answers

The actual check begins by considering 2 hypotheses. they're referred to as the null hypothesis and therefore the various hypothesis.

Lesson Check (4.NBT.B.6
1. To divide 572 = 4, Stanley estimated to place
the first digit of the whole-number quotient.
In which place is the first digit of the whole-
number quotient?

Answers

The first digit of the whole- number quotient will be in the hundred place.

To determine which place will the first digit of the whole- number quotient be placed after taking the quotient of 572 and 4, we will follow the steps below;

Round up 572 to 1 significant figure. The value expressed as one significant figure is 600.

Since the divisor is a unit value, we will not be rounding it up.

Take the quotient of 600 and 4.

[tex]\frac{600}{4}=\frac{150\times 4}{4 \times 1} =150[/tex]

From the result, we can see that the first digit of the whole- number quotient is to the nearest hundred (100)

Learn more on place values here: https://brainly.com/question/13721663

Help me please!!!!!!!!!

Answers

Answer:

X=5

Step By Step:

What is a common denominator for 2/3 and 1/2?

Answers

Answer:

6 or 7/6

Step-by-step explanation:

they are both prime so 2*3=6

4/6+3/6=7/6

Answer:

21/31/6/2/34861/27651/7266163)

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.

x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36

Answers

Answer:

x2 + (y – 3)2 = 36

x2 + (y + 8)2 = 36

Step-by-step explanation:

The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is,

⇒ x² + (y - 3)² = 36

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Since, The standard form for finding the equation of a circle is expressed as;

⇒ (x - a)² + (y - b)² = r²

where;

(a, b) is the center of the circle

And, r is the radius of the circle

Given that;

Diameter = 12 units

And, Radius = 12/2 = 6 units

If the center lies on the y-axis, the center will be at (0, 3)

Substituting into the formula, we will have;

⇒ (x - 0)² + (y - 3)² = 6²

⇒ x² + (y - 3)² = 36

Thus, The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is,

⇒ x² + (y - 3)² = 36

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ5


Sketch the graph of each line by identifying the x-and y-intercepts.

Answers

Answer:

Slope: -5/3 , Y-intercept: (0,5)

Step-by-step explanation:

Vote brainliest!

Help me on this I can’t fail

Answers

Answer:

c = green line

The area of the regular pentagon is 6. 9 cm2. A regular pentagon has an apothem with length 1. 38 centimeters and an area of 6. 9 centimeters squared. What is the perimeter? 2 cm 5 cm 10 cm 20 cm.

Answers

The perimeter of the regular pentagon is 10 centimeters.

Given that the area of the regular pentagon is 6.9 cm2, and a regular pentagon has an apothem with length 1.38 centimeters and an area of 6.9 centimeters squared, to determine what is the perimeter the following calculation must be performed:

(Perimeter x apothem) / 2 = Area 1.38X / 2 = 6.9 1.38X = 13.80 X = 13.80 / 1.38 X = 10

Therefore, the perimeter of the regular pentagon is 10 centimeters.

Learn more about maths in https://brainly.com/question/11993520

Solve for x

#6:

X=_

#7

X= _​

Answers

Step-by-step explanation:

for the first one let's write our equation

(13x+2)+(3x-4)+(5x-7)=180

Combine like terms

21x-9=180

Add 9 to both sides

21x=189

Divide both sides by 21

x=9

Now for the second one

Let's write our equation

(19x-18)+(7x+1)+(10x-9)=180

Combine like terms

36x-26=180

Add 26 to both sides

36x = 206

Divide both sides by 36

x = 5.72222...

what is the simplest form of 32/40

Answers

Answer:

4/5

Step-by-step explanation:

Answer:

4/5 or as in decimals, 0.8

Step-by-step explanation:

32/8=4

40/8=5

multiply pi with 10,000
:>

Answers

Answer:

3.14 x 10,000 equals 31,400

Step-by-step explanation:

Answer:

31415.9

Step-by-step explanation:

yeah-ya............. right?

simplify √ 18 + √ 20 - √ 45

Answers

Answer:

3√2 - 4√5 -

ig this is the answer

Answer:

3[tex]\sqrt{2}[/tex] - [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying the radicals

[tex]\sqrt{18}[/tex]

= [tex]\sqrt{9(2)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex]

= 3[tex]\sqrt{2}[/tex]

---------------------------

[tex]\sqrt{20}[/tex]

= [tex]\sqrt{4(5)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex]

= 2[tex]\sqrt{5}[/tex]

------------------------

[tex]\sqrt{45}[/tex]

= [tex]\sqrt{9(5)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex]

= 3[tex]\sqrt{5}[/tex]

Then

[tex]\sqrt{18}[/tex] + [tex]\sqrt{20}[/tex] - [tex]\sqrt{45}[/tex]

= 3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{5}[/tex] - 3[tex]\sqrt{5}[/tex] ← collect like terms

= 3[tex]\sqrt{2}[/tex] - [tex]\sqrt{5}[/tex]

Find the value of x and thank for answer

Answers

The value for x is 102 degrees

First we can find the second value in the triangle by subtracting 141 from 180. This works because when added together these two angles come together to from a line (180 degrees) because this value is now known (39 degrees) we can subtract both from 180:

180-39-39= x = 102

I think of a number. I add 3 then divide it by 2. My answer is 12. Form an equation and solve it to find my number.

Answers

Answer:

21

Step-by-step explanation:

21 plus 3 equals 24 divided by 2 equals 12

Write an algebraic expression to represent the verbal statement: The product of the difference of m and 7 and 6.

Answers

Answer:

x=(m)(7)(6) or x=m*7*6

Step-by-step explanation:

Five less than five times a number is less than six times the same number plus
2.

Answers

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve this problem in one single step, I'll start off with that.

We can first figure out what it says and make an algebraic equation. We can see what language the question uses and elaborate on that to create our equation.

[tex]5x-5<6x+2[/tex]

We can use algebra to simplify the equation so that we can solve for it.

[tex]-5<x+2\\-7<x\\x>-7[/tex]

We can check if this is correct by testing a few numbers from that range, I'll take -5 and 2.

[tex]5(2)-5<6(2)+2?\\10-5<12+2?\\5<14[/tex]

We've proven that 2 is working.

[tex]5(-5)-5<5(-5)+2?\\-25-5<-25+2?\\-30<-23[/tex]

We've also proven that -5 works.

We can now say that we've solved the problem, the solution of the problem would be x>-7.

Cheers!

3. Kyle and Michael a rup a lap around a track. Kyle gets a 50 a meter head start and runs 3 meters
per
second. Michael runs at a speed of 4 meters per second. How long will it take for Michael
to reach Kyle?

Answers

Answer:

50 second

Step-by-step explanation:

let the distance between Michael and kyle (s)

s= 50 m

we want to know how long it takes for Michael(speed 4 m/s ) to reach kyle(3m/s)

v = s/t

t = s/v

Vm = speed of Micheal

Vk = speed of kyle

v = ( Vm - Vk )

t = 50/(4-3) = 50 second

Please answer! I’ll give you Brainliest

Answers

A)

The four small squares are all 3x3, so the perimeter is 3+3+3+3 = 12.

12 * 4 = 48

We can find the perimeter of the large diamond shape using the Pythagorean theorem, a^2 + b^2 = c^2

a = 4

b = 4

4^2 + 4^2 = c^2

16 + 16 = c^2

32 = c^2

c = 5.65685425

So the perimeter of the large diamond shape is

5.65685425+5.65685425+5.65685425+5.65685425 = 22.627417

48+22.6 = 70.6

B)

The areas of the small squares are 3x3 = 9

9 * 4 = 36

The area of the large diamond shape is

5.65685425 * 5.65685425 = 32

36 + 32 = 68

Put 62%, 0.71, 0.8, 5/8 in ascending order

Answers

Answer:

0.62 < 5/8 < 0.71 < 0.8

That’s it in ascending order

0.8 > 0.71 > 5/8 > 0.62

That’s it in descending order

Step-by-step explanation:

Answer:

62%, 5/8, 0.71, 0.8

Step-by-step explanation:

62% in form of a decimal is 0.62 and 5/8 is 0.625 when u round off its 0.63 which is 0.01 more than 62%. then 0.71 is 0.1 less than 0.8

please answer this I’ll mark brainliest and follow

Answers

this is the correct answer

solve pls brainliest

Answers

Answer:

16 sq mm

Step-by-step explanation:

hope this helps

Hey ,here it is
Can u give me a brainliest answer?

Area of the figure= 2x2 + 2x6
Area of the figure= 4+12
Area of the figure = 16m^2

A can of crushed tomatoes holds 40 fluid ounces. How can a label designer name the same volume using metric units? Complete the explanation.

The designer can use the ratio 1 fluid ounce ≈ 29.6 milliliters and then multiply:
40 × blank
=
. The designer might decide to convert mL to L and round to the nearest tenth of a liter:
mL ≈
L

Answers

The metric unit of a quantity is simply the unit of measurement of the quantity

The volumes of the crashed tomato cans are 1184 milliliters and 1.184 liters

The volume of the crushed tomato can is given as:

[tex]\mathbf{Volume = 40oz}[/tex]

From the question, we have the following conversion ratio

[tex]\mathbf{1oz \approx 29.6mL}[/tex]

So, the volume in milliliters becomes

[tex]\mathbf{Volume = 40 \times 29.6mL}[/tex]

Multiply

[tex]\mathbf{Volume = 1184mL}[/tex]

To convert the unit to liters, we simply divide the volume by 1000.

So, we have:

[tex]\mathbf{Volume = 1184L \div 1000}[/tex]

[tex]\mathbf{Volume = 1.184L}[/tex]

Hence, the equivalent volumes are 1184 milliliters and 1.184 liters

Read more about metric units at:

https://brainly.com/question/2004114

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