Find the volume of the three dimensional figure in terms of x

Find The Volume Of The Three Dimensional Figure In Terms Of X

Answers

Answer 1

Answer:

[tex]V=6x^3+3x^2[/tex]

Step-by-step explanation:

The given figure shows a cuboid whose length is (2x+1) breadth is x and height is 3x.

We need to find the volume of the three dimensional figure.

The volume of a cuboid is given by :

V = lbh

Substitute all the values,

[tex]V=(2x+1)\times x\times 3x\\\\V=(2x+1)\times 3x^2\\\\= 3x^2(2x)+3x^2\\\\V=6x^3+3x^2[/tex]

So, the volume of the figure is equal to [tex]6x^3+3x^2[/tex].


Related Questions

helppppppppppppppppp

Answers

Answer:

6.4

Step-by-step explanation:

The Pythagorean Theorem says that in a right triangle,

[tex](\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2[/tex].

In this problem,

[tex]a^2+b^2=c^2\\\\4^2+5^2=c^2\\\\16+25=c^2\\\\41=c^2\\\\c=\sqrt{41} \approx 6.4[/tex]

What is the factorization of the polynomial graphed below? Assume it has no
constant factor. Write each factor as a polynomial in descending order.

Answers

Answer:

see below

Step-by-step explanation:  5 25 14  16

the graph shows the roots of the polymonimal to be

x = 0   and x - 4 = 0     x = 4     when y or f(x) = 0

f(x)   =   x(x-4)   =  x² - 4x

f(x)   =   x² - 4x

when x = 0   f(x) = 0

         x = 2   f(x)  =  2² - 4(2)   =  -4

         x = 4   f(x)  =  4² - 4(4)   =  0

The factorization of the polynomial graphed are,

⇒ y = x (x - 5)

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, We have been given graph of polynomial.

This is in parabolic shape.

So, this is graph of quadratic function.

Hence,, there will be two zeroes.

And also number of zeroes of a function is equal to the number of times graphs cuts x-axis

Here, we can see graph cuts at (0,0) and (5,0).

So, the Factors will be:

(x - 0) and (x - 5).

Since, If x = 0 is a zero then it means factor will be (x)

Similarly, If x = 5 is a zero then it means factor will be (x-5).

Thus, the factorization of the polynomial graphed are,

⇒ y = x (x - 5)

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Solve for m.

√m-7=n+3

m = n2 + 6n + 2
m = n2 + 6n - 2
m = n2 + 6n + 16

Answers

Answer:

m= n² + 6n + 16

Step-by-step explanation:

i hope it helps

Answer:

m= n² + 6n + 16

Step-by-step explanation:

10 km = ? M ???? Pls help

Answers

Answer:

10000 meters

Step-by-step explanation:

10 km is 10000 meters

Ms. Green has 3 % yards of fabric. One bandana requires 1/4 of a yard of fabric. How many bandanas can
she make until she runs out of fabric?

Answers

Answer:

12

Step-by-step explanation:

number of bandana that can be made = total yards of fabric ÷ yards needed to make one bandanna

3 ÷ 1 /4

= 3 x 4 = 12

Find the length of NL.

Answers

Answer:

8

Step-by-step explanation:

By intersecting chords theorem:

[tex]4x = 2 \times 8 \\ \\ 4x = 16 \\ \\ x = \frac{16}{4} \\ \\ x = 4 \\ [/tex]

NL = 4 + x = 4 + 4 = 8

a man swims for 30 mins at a speed of 109 m/min. How far does he swim?

Answers

The distance is meters per minute so you would multiply the distance per minute by total minutes:

109 x 30 = 3.270 total meters.

1 km = 1000 meters

3,270 meter/ 1000 meters per km = 3.27 km

They swam 3.27 km

What would you add to 1/6 to get 2/3

Answers

I would add 1/6 to 3/6 2/3 is equal to 4/6 to 1/6 plus 3/6 is 4/6

Answer:

0.5 or [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

1
K
N
M
If I and Mo are parallel lines and mZIKI = 42°, what is mZMNP?

Answers

look it up online i think it will be pretty easy and should be the first one to pop up

The sum of 2 numbers is 82 and one exceed the other by 40.what are the number 2​

Answers

Answer:

If you are asked to work out the product of two or more numbers, then you need to multiply the numbers together. If you are asked to find the sum of two or more numbers, then you need to add the numbers together.

Step-by-step explanation:

A spinner is made of three equal sections blue green and red if I spend spend 180 times how many times I expect to get red as outcome

Answers

60 times

You have a 1/3 chance each spin.

1/3 = x/180
180 = 3x
x = 60

Yo can someone help me out

Answers

Answer:

theres an black screen

Step-by-step explanation:

mark as brainliest!!

Answer:

Cant see the image

Surface area of a triangular prism
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
13 in
12 in
5 in
6 in

Answers

Surface area is 240 in^2

find the value of x. round to the nearest degree
Not drawn to scale

Answers

Answer:

[tex]cos x =\frac{adjacent}{hypotenuse} = \frac{11}{20}\\\\x = cos^{-1} (\frac{11}{20} ) = 56.63[/tex]

x= 57°

xy^-3 is equivalent to ______

Answers

Answer:

xy3 your welcome tell me if I got it right ✅

Gun rights vs. gun control: In a December 2014 report, "For the first time in more than two decades of Pew Research Center surveys, there is more support for gun rights than gun control." According to a Pew Research survey, 52% of Americans say that protecting gun rights is more important than controlling gun ownership. Gun rights advocates in a conservative city believe that the percentage is higher among city residents.
They survey 200 city residents and find that 130 say that protecting gun rights is more important than controlling gun ownership. What is the test statistic?
Z = -3.68
Z = 3.68
Z = -3.85
Z = 3.85

Answers

Answer:

The right answer is "z = 3.68".

Step-by-step explanation:

Given that,

p = 52%

or,

  = 0.52

n = 200

[tex]\hat{p}= \frac{130}{200}[/tex]

  [tex]= 0.65[/tex]

Now

The test statistic will be:

⇒  [tex]z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]

On substituting all the given values, we get

⇒     [tex]=\frac{0.65-0.52}{\sqrt{\frac{0.52(1-0.52)}{200} } }[/tex]

⇒      [tex]=\frac{0.13}\sqrt{{\frac{0.52\times 0.48}{200} }}[/tex]

⇒      [tex]=\frac{0.13}{\sqrt{0.001248} }[/tex]

⇒      [tex]=3.68[/tex]

Which statement describing this experiment is true?
An experiment is proposed to measure the
effectiveness of a brand of sunscreen. Adult volunteers
are randomly assigned to one of two brands of
sunscreen and asked to enjoy a normal day at the
beach. Each volunteer is asked to report back to the
administrators after two hours, at which time both arms
are assessed for sun exposure.
O The volunteers are the explanatory variables.
O. The brands of sunscreen are the response
variables.
O The amount of time in the sun is the response
variable.
O The brands of sunscreen are the explanatory
variables.

Answers

Answer:c

Step-by-step explanation:

Answer:

B i think

Step-by-step explanation:

Stole the picture off a website (which can not be named here lol)

The measure of ZA Is 12° greater than the measure of ZB. The two angles are complementary. Find the measure of each angle. . The mZA IS and m/B Is​

Answers

Answer:

m∡ZA = 51°

m∡ZB = 39°

Step-by-step explanation:

∡ZB = 'b'

∡ZA = '12 + b'

b + 12 + b = 90

2b + 12 = 90

2b = 78

b = 39

12 + 39 = 51

Jack places the bottom of a ladder 9 feet from the wall. It is a huge 41 foot long ladder so he asks his sister Katie to help him. How far up the wall does the ladder reach?​

Answers

Answer:

40 feet

Step-by-step explanation:

Use the Pythagorean Theorem

a² + b² = c²

a² + 9² = 41²

a² + 81 = 1681

Subtract 81 from both sides

a² = 1600

Take the square root of both sides

a = 40

Solve the quadratic equation by using either a numeric or a graphic approach.
x2 - 12x – 144 = 0
a. x= -12.4 or x = -7.4
c. x = 9.4 or x = -7.5
b. x = 19.4 or x = -7.4
d. x = 9.4 or x = -3.4

Answers

Answer:

B

Step-by-step explanation:

In a local​ election, 42,300 people voted. This was an increase of 13​% over the last election. How many people voted in the last​ election? Round to the nearest whole number.

Answers

Answer:

3253 maybe. ( I am not entirely confident with this answer)

Step-by-step explanation:

3253 maybe ( I am honestly not sure either)

Last summer, Marion was 3 1/2 feet tall. She was 4 inches taller than her brother Elijah. She was 1 1/4 feet shorter than her sister Lorie. How tall were Elijah and Lorie last summer?

1 foot = 12 inches

Solution:

Elijah:
inches

Lorie:
inches
NO LINKS

Answers

Answer:

Answers below

Step-by-step explanation:

Marion: 42 inches

Elijah: 38 inches

Lorie: 57 inches

Convert each to inches and solve.

Hope this helps!

The space club is printing posters for an upcoming competition. The
printer charges $200 plus $2 for every poster. How many posters can be
printed for $950?

Answers

Answer:

375 posters can be printed for $950

Step-by-step explanation:

First, create an equation. X = number of posters: 200+2x=950

Second, subtract 200 from both sides to get an equation of: 2x=750

Third, divide 2 on both sides to get: x = 375

10 (-2 + 3y) + 8y = -20

Answers

This is y=0
………………………

Algebra 1
No links
Answer fast
A-124
B-80
C-76
D-66

Answers

Answer:

B)

Step-by-step explanation:

x+36=102

x=102-36

x=66

Therefore, substitute x in your formula for x+14

66+14

What is the perimeter of the figure?

A. 34 cm
B. 36 cm2
C. 36 cm
D. 34cm2

Answers

Answer:

A. 34cm

Step-by-step explanation:

What is the value oh x?

Answers

Answer:

x

Step-by-step explanation:

djdndjdjdndjdkdjdnfnfjfndndndn b7h

A recipe calls for 8 ounces of fruit juice for every 32 ounces of soda. How much soda should you use if you use 16 ounces of fruit juice? DO NOT FORGET THE UNITS!

Answers

Answer:

64 ounces of soda

Step-by-step explanation:

for every 8 ounces you need 32 ounces of soda and 16 would be two servings of fruit juice so I multiplied 32 by 2 and got 64

What is the mortgage loan value on a $375,000 home if 20% is paid as a
down payment?
$325000
$375000
$75000
$300,000

Answers

Answer:

$300000

Step-by-step explanation:

down-payment would $75000 so minus it from $375000 to get the mortgage

Answer:300000

Step-by-step explanation:

375000/100 =3750

1 percent = 3750

20 percent = 3750*20=75000

375000-75000= 300000

If it is helpful t

Patricia needs 2 pints of purple icing to decorate cupcakes. She will use the following recipe for 1 pint of purple icing.

· 1 pint of white icing

· 4 1/4 teaspoons of blue food coloring

· 2 1/2 teaspoons of red food coloring.



Explain two different ways for Patricia to find the total number of teaspoons of blue and red food coloring necessary to make the 2 pints of purple icing. (Do not solve the problem.)

Answers

Answer:

double

Step-by-step explanation:

double the teaspoons so you can get the amount you need for 2 pints

double  the amount and then divided it

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