Find the volume and surface area of the composite figure shown below if the figure is built with unit cubes.

Find The Volume And Surface Area Of The Composite Figure Shown Below If The Figure Is Built With Unit

Answers

Answer 1

Answer:

the volume is 18 and the surface area is 46

Step-by-step explanation:

Answer 2

The volume of the cube will be and the surface area of the cube will be square units.

What is volume?

Volume is defined as the space covered by any solid body in the three-dimensional plane. The volume of the cube will be calculated by multiplying all three sides of the cube.

The volume will be calculated as below:-

The formula to calculate the volume = l x w x h

The volume of the first part = 2 x 2 x 3 = 12 cubic units

The volume of the Second part = 2 x 2 x 1 = 4 cubic units

The volume of the third part  = 2 x 1 x 1 = 2

Total volume of the cube  = 12 + 4 + 2 = 18 cubic units.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

The surface area will be calculated as below:-

Surface area of the base = 2 ( 4 x 2) + 2( 2x 1) + 2 ( 4x 1) = 28

Surface area of the middle = 2 ( 3 x 2 ) + 2 ( 2 x 1 ) + 2 ( 3 x 1) = 22

Surface area of the upper side = 2 ( 2 x 2) +2 ( 1 x 2 ) + 2 ( 1 x 2) = 16

The total surface area is calculated as below:-

Total = 28 + 22 + 16 = 66 square units.

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Related Questions

What is the measure of angle U?

Answers

I think it’s A or D not sure. Hope I helped.

Which function has an asymptote at x = 5 and an x-intercept of (6,0)?
OA
f(x) = log(x - 5)
B.
f(x) = log(x + 5)
OC. Ax) = log x-5
OD.
f(x) = log x + 5

Answers

Answer:

f(x) = log (x-5)

Step-by-step explanation:

__________

f(x) = log(x - 5) is the  function has an asymptote at x = 5 and an x-intercept of (6,0)

What is a function?

A relation is a function if it has only One y-value for each x-value.

we need to find the function which has an asymptote at x = 5 and an x-intercept of (6,0)

An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity.

There are three types of asymptotes: vertical, horizontal and oblique.

The asymptotes are lines, they are written as equations of lines. The vertical asymptotes are x = 5.

f(x) = log(x - 5) is the  function has an asymptote at x = 5 and an x-intercept of (6,0)

Hence, f(x) = log(x - 5) is the  function has an asymptote at x = 5 and an x-intercept of (6,0)

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Wren makes some rectangular display boxes. Wren’s first display box is 6 inches long, 9 inches wide, and 4 inches high. What is the volume of the display box?

Answers

Answer:

216

Step-by-step explanation:

V = whl =9 · 4 · 6 = 216

Melissa has 120 vanilla cake pops to sell. Each vanilla cake pops is covered with one topping. 1/2 ​ of the cake pops are covered with chocolate sprinkles. 1/3​ of the cake pops are covered with strawberry sprinkles. * the rest are covered with green sprinkles. How many cake pops are covered with green sprinkles?

Answers

Answer:

The Answer is 20 cake pops are covered with green sprinkles.

Step-by-step explanation:

So if you have 1/2 choclate, 1/3 strawberry, and the rest are green, you first need to convert the Chocolate and the Strawberry into the same fraction. As shown:

Chocolate: 1/2=3/6

Strawberry:1/3=2/6

The rest are Green sprinkles.

So, your equation would be:

Chocolate sprinkles + Strawberry Sprinkles + Green Sprinkles = Total

And their are 5/6 of Chocolate and Strawberry Sprinkles...

That would mean 100 Chocolate and Strawberry Sprinkles!

Because 1/6 of 120 is 20 and multiply that by five and you have 100...

Now that we have that, and we know the rest are green...

we just do 120-100=20

So their you go!

Sorry its long but hope it helps! <3

question on picture!!

Answers

Answer:

Step-by-step explanation:

A sculpture is made of solid copper in the shape of a cone. The sculpture is 67 inches tall, and its base has a radius of 15 inches. If copper costs 1.06$ per cubic inch, how much did the copper for the sculpture cost?


Use 3.14 for Pi, and do not round your answer.

Answers

Answer:

$16,725.21

Step-by-step explanation:

To get the cost of the copper used for the sculpture, we must first determine the volume of the object which is given as a cone

Recall that the volume V of a cone

= 1/3Pir^2h

where r is the base radius and h is the height

Given that the  sculpture is 67 inches tall, and its base has a radius of 15 inches, the volume of the sculpture

= 1/3 * 3.14 * 15^2 * 67

= 15,778.5 cubic inch

If copper costs 1.06$ per cubic inch, then the cost of the copper for the sculpture

= 15,778.5 * 1.06

= $16,725.21

Si a la mitad de un número le restas su tercera parte, y, a este resultado, le sumas 85/2,


obtienes el triple del número inicial. ¿De qué número se trata?

Answers

Answer:

x = 15

Step-by-step explanation:

Llamaremos x al número que buscamos, entonces:

la mitad de x es  x/2, la tercera parte es x/3, y el triple del número es 3*x

De acuerdo al problema :

(x/2 - x/3 ) + 85/2  = 3*x

Esta es una ecuación de primer grado pasamos a resolverla.

( 3*x  -  2*x ) /6   + 85/2  = 3*x

x/6 + 85/2 = 3*x

( x + 255)/6 = 3*x

x  +  255  = 18*x

17*x  = 255

x  = 255/17

x = 15

if these triangles are similar,name the missing angles, (25 points )​

Answers

Answer:

170

Step-by-step explanation:

Need help on this question asap

Answers

need help in this question asap srry i need points

Help please Thank you!!!!!

Answers

Answer:

B

Step-by-step explanation:

B because the graph doesn't show a liner line

but im not really sure nout it tho

Besties helpppp please FASTTT

Answers

Answer:

180

Step-by-step explanation:

area of a trapezoid = [tex]\frac{a+b}{2}h[/tex]

where a = base 1

b = base 2

and h = height

This is what we are given

base 1 = 23

base 2 = 37

and height = 6

That being said we plug in the given values into the formula

[tex]A=\frac{37+23}{2} 6\\23+37=60\\\frac{60}{2} =30\\30*6=180[/tex]

Hence the area of the trapezoid is 180 square feet

how would you read the expression 54?​

Answers

Answer:

Five to the fourth power

Answer:

Five to the fourth power

Step-by-step explanation:

20 points answer pls

Answers

Answer: 0.03, 45.6

Step-by-step explanation: for the first question, move the decimal point two points to the right. 0.03 is the first answer. Next, move the decimal point two points to the left, you will get 45.6

Please help: what is 262.3 out of 329 as a percent?

Answers

Answer:

79.72644377% is the answer I believe.

I am almost positive the answer is 79.72644377%

Hey this is juelz gautreaux parent and she has a hard time on math so i got brainly for her and does not work

Answers

Answer:

Hey! so glad you got this to help your child. I believe this will help them alot, but this is not like a social media app.... don't post things like this unless needed but i hope you enjoy your time here.

Step-by-step explanation:

Answer:

try looking the question up on here

Step-by-step explanation:

if you look up the question word for word on here, (if not exactly)usually there will be a similar problem answered, and use that to base your help off of when working on a hard problem

Please find the missing side and show your work

Answers

Answer:

13.3041346957 Ft. ( Or 13.30 Ft. )

Step-by-step explanation:

Formula: A^2 + B^2 = C^2

Substitution: 9^2 + 6^2 = 117

√177 = 13.3041346957

13.3041346957 ( Rounded ( Hundredths Place ) = 13.30 Ft .

Find the area of the parallelogram. Include formula.

Answers

Answer:

24 units²

Step-by-step explanation:

Hi there!

[tex]A=bh[/tex] where b is the base and h is the height of the parallelogram

Plug in 6 as the base and 4 as the height

[tex]A=(6)(4)\\A=24[/tex]

Therefore, the area of the parallelogram is 24 units².

I hope this helps!

Answer:

Given :-

Height = 6 cm

Base = 4 cm

To Find :-

Area

Solution :-

We know that

Area = Base × Height

Area = 4 × 6

Area = 24 in²

[tex] \\ [/tex]

Can someone please help me with math.

Answers

Answer:

C and A

Step-by-step explanation:

So first, off, to find the length of a line, we can use pythagreons theorm.(A^2+B^2=C^2) The cahnge in x squared and the change in y squared will give us C, which is the line length. You can count the tiles like this:

From the bottom point, lets count up the x coordinates till we hit the x coordinates of the top point. I got 3.

Next is the y coordinates.

When I count up until I reach the top point, I get 7. Lets plug these numbers in:

3^2+7^2=C^2

Use the square root on eahc number except for the unknown(C)

=

9+49=c^2

Add the two numbers together:

=

58=c^2

Take square root:

7.61=c^2

This can just be rounded to 7.6

This looks like C

So that is your first answer.

Next we have a table.

We need to look at the section of people that have both brown hair and eyes.

When I look at the table, I see 30 people whom how both these charcteristics.

When you looka the total people in the bottom right corner, you see that there are 120 people.

We do not even need to calculate percentage.

30 is 1/4 of 120.

What is 1/4 of 100%

25%

So the people with both brown eye/hair color is 25%

THis looks like answer A

I hope this helps! :)

what is the slope of a line that passes through the points (6, 1) and (9, 8)? process plsss !!!

Answers

slope is considered (rise/run) or (y2-y1 / x2-x1)
meaning (8-1 / 9-6) which is equal to 7/3

Rate of change for y=1x+1

Answers

Answer:

The rate of change is 1

Step-by-step explanation:

The rate of change is the same as the slope, the ratio of the change in y over the change in x. In this case, the slope is 1, making the rate of change also 1.

the perimeter of a square is 28 feet. what is its area in square feet?

Answers

The area of the square is 49ft squared
Since the formula for the perimeter of a square is 4s then
4s=28
s=7

Now the area of square is s^2=a
(7)^2=a
49=a

select all equations that have infinitely many solution ​

Answers

Answer:

1, 2

Step-by-step explanation:

1 and two end up being 0=0 solutions (infinite)

3 is 1 solution.

4 is no solutions.

Find the surface area of the ball shown. Use 3.14 for π.
Radius is 13 cm.

Answers

Answer:

Hi! answer: 530.66

Step-by-step explanation:

To find area for circles you have to do radius × radius × pi so our radius is 13 so 13 × 13 = 169

169 × 3.14 = 530.66 So that's our answer hope that helps!

Answer:

[tex]676 \pi \ cm^{2}[/tex]

a jar holds 3 red, 2 white and 5 green marbles. What is the probability of not drawing out a white one?

Answers

Answer:

80%

Step-by-step explanation:

P(not white) = 8/10

find the perimeter of the shaded region

Answers

Answer:

13 u²

Step-by-step explanation:

What is -10 + (-3/4)?
Answers:
-10 3/4
-9 1/4
9 1/4
10 3/4

Answers

Answer:

-10 3/4 hope this help

Step-by-step explanation:

Answer:

the first opinion is correct  

Step-by-step explanation:

what is the slope of the line in this graph? a5/9 b5/7 c7/5 d9/7​

Answers

Answer:

B. 5/7

Step-by-step explanation:

rise over run

rises 5 units, runs 7 units

An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures?

Answers

Answer:

3.33%

Step-by-step explanation:

math stuuf <3

solve for the following inequality: -3x+4>19

Answers

Answer:

x<-5

Step-by-step explanation:

[tex]1)\ -3x+4>19[/tex]

[tex]2)\ -3x>15[/tex]

[tex]3)\ -x>5[/tex]

[tex]4)\ x<-5[/tex]

Inequality Form:

x < −5

Interval Notation:

( −∞, −5 )

If Sean drives 35 miles in 5 hours,how many miles does Sean drive in 1 hour?



Please give me an answer not a website

Answers

Answer:

7 miles

Step-by-step explanation:

you want to take the total miles and devide it by total time, (35/5) and that would be your answer.

Answer:

[tex]7\:\text{miles}[/tex]

Step-by-step explanation:

This problem implies Sean drives at a constant rate. Therefore, we can set up the following proportion:

[tex]\frac{5}{35}=\frac{1}{x},\\5x=35,\\x=\boxed{7}[/tex]

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