What is the volume of the following shape?

What Is The Volume Of The Following Shape?

Answers

Answer 1

Answer:

[tex]V=V_{1}+V_{2}=96+36=132\: cm^{3}[/tex]

Step-by-step explanation:

We can divide it into two parts:

First, we can fin the volume of the parallelepiped:

h1 = 16 cm

w1 = 2 cm

d1 = 3 cm

[tex]V_{1}=h_{1}*w_{1}*d_{1}=16*2*3=96\: cm^{3}[/tex]

Now, the volume of the second parallelepiped is:

h2 = (8-2) cm = 6 cm

w2 = 2 cm

d2 = 3 cm

[tex]V_{2}=h_{2}*w_{2}*d_{2}=6*2*3=36\: cm^{3}[/tex]

Finally, the total volume will be the addition of these two volumes.

[tex]V=V_{1}+V_{2}=96+36=132\: cm^{3}[/tex]

I hope it helps you!


Related Questions

the sum of two consecutive integers is three times their difference.what is the larger number.please help!​

Answers

9514 1404 393

Answer:

  2

Step-by-step explanation:

If n is the larger integer, n-1 is the smaller. The difference of consecutive integers is 1, so their sum is ...

  n +(n -1) = 3(1)

  2n = 4 . . . . . . . . . add 1

  n = 2 . . . . . . . . . . divide by 2

The larger integer is 2.

Answer:

2

Step-by-step explanation:

The larger number r={2}

PREMISES

r+s=3(r-s)

ASSUMPTIONS

Let r=s+1

Let s=s

CALCULATIONS

(s+1)+s=3[(s+1)-s]

2s+1=3[(s-s)+1]

2s+1=3(0+1)

2s+1=3(1)

2s+1=3

2s+(1–1)=3–1

2s+0=3–1

2s=2

2s/2=2/2

s=2/2

s=

{1}

And if s=1, then

r=s+1=

{2}

PROOF

If r, s={2,1}, then the equations

(1) r+s=3(r-s)

(2) 2+1=3(2–1)

(3) 2+1=3(1) and

(4) 3=3 prove the roots (zeroes) r, s={2,1} of the statement r+s=3(r-s)

HOPE THIS HELPS! :]

Ms. Rogers bought 4 bags of candies to make gift boxes for her family. Each bag contained 18 candies. She put an equal number of these candies into each of 7 gift boxes. How many candies were left over?

Answers

Answer:

2 candies were left.

Step-by-step explanation:

Number of bags of candies = 4 bags

Number of candies in each bag = 18 candies

Total number of candies = [tex]4(18)=72[/tex]

Ms. Rogers put an equal number of these candies into each of 7 gift boxes.

Divide 72 by 7

72 = 7(10) + 2

Here, remainder is 2.

So,

2 candies were left.

need help with this one 105.6+37.1

Answers

Answer: 142.7

Step-by-step explanation:

Given the equation 3x+4y=20, is the point (4,2) a solution to the equation? Explain and
show you work.

Answers

Answer:

(4, 2) is a solution to the equation

Step-by-step explanation:

if y = 2 and x = 4 add fill them into the equation

3(4) + 4(2) = 20

12 + 8 = 20

20 = 20

this makes the equation true

So yes, (4, 2) is a solution to the equation.

Please I really need answers.

Answers

I agree with the person that commented first

3) A sliding board has a height of 5 and a slide length of 13. How long is
the base of the slide?*
A9
B10
C11
D12

Answers

Answer is D=12
Explainer

8 is what percent of 40

Answers

Answer:

20%

Step-by-step explanation:

[tex]\frac{8}{40}*100=2*10=20\\[/tex]%

Answer:

8 is 20% of 40

Combine like terms to create an equivalent expression.


Answers

Answer:

1/6a - 1/6

Step-by-step explanation:

Answer:

1/6a-1/6

Step-by-step explanation:

only first two terms are alike

MY BRAIN LITERALLY ISNT WORKING ANYMORE

Answers

Answer:

Try using a website calculator, or just try and ask a parent guardian for help

help help help





blah blah blah

Answers

Answer:

It is c blah blah blah

Step-by-step explanation:

pls give brainliest blah blah blah

Answer:

?

Step-by-step explanation:

ok plz help on this one
i award brainliest :)

Answers

Answer:

Step-by-step explanation:

15 - x > 0

-x > -15

x < 15

if x < 15    15-x

if x = 15     0

if x > 15     x-15

Find the surface area of the prism.

Look at the figure.

Answers

760

Ste760p-by-step explanation:

Answer:

I believe it is 584 in.

Step-by-step explanation:

10 x 4 = 40, 40 x 2 = 80.

18 x 4= 72, 72 x 2 = 144.

18 x 10 = 180, 180 x 2= 360.

360 + 144 + 80 = 584

find the distance between the points (-7, -10) and (-5,-1)

Answers

Answer:

d=√(x2-x1)² + (y2-y1)²

Step-by-step explanation:

ans is √85 unit

help pls .. Shifted down 1 unit and to the right 2
units
Equation: g(x) =



Shifted up 3 units and to the left 1 unit
Equation: g(x) =

Answers

Answer:

[tex]g(x) = (x - 2) ^{2} - 1[/tex]

[tex]g(x) = (x + 1)^{2} + 3[/tex]

What is the imaginary number i equal to?

Answers

Oneeeeeeeeeeeeeeeeee

Answer:

René Descartes was a French mathematician and philosopher during the 17th century.8 Feb 2021

Born: March 31, 1596, La Hay en Touraine

Profession: Mathematician, Scientist, Philosopher

Works written: Discourse on Method, Compend...

Died: February 11, 1650, Stockholm, Sweden

find the height
10cm 8cm
h=

Answers

Answer:

h = [tex]\sqrt{84}[/tex] cm

Step-by-step explanation:

The radius, height h and slant height form a right triangle.

radius r = 8 ÷ 2 = 4, hypotenuse = 10

Using Pythagoras' identity in the right triangle

h² + 4² = 10²

h² + 16 = 100 ( subtract 16 from both sides )

h² = 84 ( take the square root of both sides )

h = [tex]\sqrt{84}[/tex] cm

If you vertically stretch the exponential function f(x) = 2* by a factor of 4, what
is the equation of the new function?
A. g(x) = 4.2%
B. g(x) = 24
C. g(x) = . 2*
D. g(x) = 2 .4*

Answers

Answer:

A. g(x) = 4.2%

Step-by-step explanation:

If you vertically stretch the exponential function f(x) = 2* by a factor of 4, what

is the equation of the new function?

A. g(x) = 4.2%

B. g(x) = 24

C. g(x) = . 2*

D. g(x) = 2 .4*

im not sure

The vertical stretch of the transformation of the function is g ( x ) = 4 ( 2 )ˣ

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 2ˣ

Now , the vertical stretch of a factor of 4 is given by

The transformed function is g ( x )

g ( x ) = 4 f ( x )

On simplifying , we get

g ( x ) = 4 ( 2 )ˣ

Hence , the transformed function is g ( x ) = 4 ( 2 )ˣ

To learn more about transformation of functions click :

https://brainly.com/question/26896273

#SPJ7

The complete question is attached below :

If you vertically stretch the exponential function f(x) = 2* by a factor of 4, what

is the equation of the new function?

A. g(x) = 4.2%

B. g(x) = 24

C. g(x) = . 2*

D. g(x) = 2 .4*

The recipe to make baked pears for every 4 pears, you need 2 cups of yogurt and 6 tablespoons of granola. What is the ratio of cups of yogurt to tablespoons of granola? *

4:2
1:2
6:2
1:3

Answers

Answer:

1:3

Step-by-step explanation:

yogurt to granola

in the original story it is 2 to 6

that can be simplified to 1 to 3 or 1:3

10 points and brainliest. solve by elimination
-5x+10y=5
6x-20y=18

(3, -7)


(-3,-7)

(3,7)


(-7,-3)

Answers

Answer:

(3,-7) I think.

Step-by-step explanation:

HELP PLEASE DUE IN 3 MINUTES

Answers

Answer: 6

Steps:
7 + 11 + 0 = 18
18/3 = 6

Answer: 6 birds each day

Step-by-step explanation:

There u go

Whoever gets this correct gets brain, 5 stars and a thanks! An explanation of it would be amazing! Tysm!

Answers

Answer:

C

Step-by-step explanation:

It is C because by the process of elimination

its not A because you find the percent of a fraction by dividing (5 divided by 7= about 71%

its not B 3/50 is =0.06

not D because 2/5= 4/10= 0.40 or 40%

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

when in doubt divide!!

example :)

6/8=____%

6 divided by 8=_______

you got this :)

Can y’all help me plz!!!

Answers

Answer: Option C- 10

You are looking for the measure of the hypotenuse. So, use the Pythagorean Theorem to solve!

a^2 + b^2 = c^2

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2 <—- now take the square root

10 = c

Which expression is equivalent to -3(4-2g)-6?

Answers

Answer:

6g-6 will be the answer

Step-by-step explanation:

[-3(-2g)+(-3)(4)]-6

6g(-12-6)

6g-6

how can tell if a table values is proportional

Answers

Answer:

You can

Step-by-step explanation:

To see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them.

Answer:

To tell if a table values are proportional, the x and the y value should have a common factor. When the numbers are all divided by their common factor, the points should all be equal to each other.

Each pair of polygons is similar. Find each missing side measure.
( 1 question for two problems)

Answers

Answer:

for the fist one is 44 and the last one is 8

Step-by-step explanation:you just divide the last answer incase you dont understand here is a better explanation you divide 24 by 6 and you get 4 not 11 times 4 equals 44 and for the second one you do the same thing 96 divided by 12 equals 8 so 64 divided by 8 equals 8

Raphel graphed the functions g(x)=+2 and f(x)=x-1 how many units below the y- intercept of g(x) is the y-intercept of f(x)​

Answers

Answer:

Y_intercept of g(x) =(0, 2)

U_intersept of f(x) =(0, - 1)

tammy has 5 cookies john took 3 how many cookies does tammy have now​

Answers

2 if Tammy starts out with 5 and then John took 3-5 is 2

Answer:

Tammy has 2 cookies.

Step-by-step explanation:

Subtract 5-3.

Let y=f(x) be the particular solution to the differential equation dy/dx=(2x−1)/y^2 with the initial condition y(0)=3. Which of the following is an expression for f(x) ?

Answers

Answer:

y=  (3x^2-3x+27)^1/3

Step-by-step explanation:

Please help me with this!!!!

Answers

Answer: (2,7)

Midpoint formula = ( [tex]\frac{x1,x2}{2}[/tex],[tex]\frac{y1,y2}{2}[/tex] )

1 + 3 / 2 = 2

5 + 9 / 2 = 7

HELP PLZ!!! i have trouble with this!!!

Answers

Center is (1,0)
And radius is 1
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