What is the volume of the prism?

A rectangular prism with cubic units arranged in two rows of two with six total layers. Each cubic unit is one cubic meter.

14 m3
24 m3
30 m3
44 m3

Answers

Answer 1

Answer:

24 m³

Step-by-step explanation:

We need to find the volume of the prism. Given that , rectangular prism with cubic units arranged in two rows of two with six total layers . And the volume of each unit is 1 .

Volume of one unit :-

[tex]\rm\implies Volume_{one\ unit } = 1m^3 [/tex]

By Unitary Method :-

Volume of two cubes , will be :-

[tex]\rm\implies Volume_{two\ unit } = 2m^3 [/tex]

Volume of one layer :-

[tex]\rm\implies Volume_{one\ layer } = 4m^3 [/tex]

Volume of six layers :-

[tex]\rm\implies Volume_{6\ layers } = 4m^3\times 6 \\\\\rm\implies \boxed{\rm Volume_{6\ layers } = 24 \ m^3} [/tex]


Related Questions

If three children equally share half loaf of bread among themselves, what fraction will each get?​

Answers

Answer:

1/6 of the bread

Step-by-step explanation:

Given data

Let the amount of the loaf of bread be 1

But they are expected to share half

hence the amount to be shared is= 1/2 bread

The number of children is 3

Hence

=1/2/3

=1/2*1/3

=1/6 bread

Hence each child will get 1/6 of the bread

m-2n = 8
n = m - 2
The value of m in the system of equations is:

Answers

Answer: m= -4


Step 1: Substitute information

To solve this we will use the substitution method. This means that we will use the information provided to us in the second equation, and substitute it into the first equation. We are told what n equals, so let’s substitute this now.

m-2n=8
m-2(m-2)=8

Step 2: Distribute

Now that we have substituted the information, let’s distribute. This means that we will multiply the numbers on the outside of the parentheses with the numbers on the inside of the parentheses. Let’s do this now.

m-2(m-2)=8
m-2m+4=8

Step 3: Combine like terms

Now that we have distributed, we can continue solving the problem. The next step is to combine like terms. This means to combine terms with the same variable, or lack of. In this case, that is m and -2m.

m-2m+4=8
-m+4=8

Step 4: Get variable alone on the left side

We can now work to get the variable alone on the left side. We can do this by moving the number on the right side, in this case by adding 4 on both sides.

-m+4=8
-m=4

Step 5: Make m positive

In this final step, we must work to make m positive. We can do this by multiplying each term by -1. This will make m positive, and 4 negative. Let’s do this now.

-m=4
-1(-m)= -1(4)
m= -4

This is your answer! M is equal to -4. Hope this helps! Comment below for more questions.

Jorge needs to reflect a figure across the line y = negative 4. Which statements are correct regarding steps he could take to complete the reflection? Check all that apply.
Jorge should graph in the vertical line with values of –4 for the line of reflection.
Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.
Jorge could count how far each vertex of the figure is from the y-axis and count the same distance on the other side.
Jorge will not move any point that lies on the line of reflection.
Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection.
Jorge could check his work by making sure that the image has the same orientation as the original.

Answers

Answer:

B: Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.

D: Jorge will not move any point that lies on the line of reflection.

E: Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection.

Step-by

i just took the test lol

Answer:

BDE are the answeres

Step-by-step explanation:

took the quiz

What could be the possible "one's" digits of the square root of the number 183184? 2 or 8 4 or 6 2 or 6 only 2

Answers

Answer:

2 or 8

Step-by-step explanation:

Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.

Given the following number;

183184

Taking the square root, we have;

√183184 = 428

The place value of 4 is hundreds.The place value of 2 is tens.The place value of 8 is ones or units (8 is in ones place).*

Therefore, the possible "one's" digits of the square root of the number 183184 is 2 or 8.

72/8 divided by 8/7=

Answers

63/8.

When you divide 72/8 by 8/7, it is the same thing as doing 72/8 x 7/8 since you are just required to flip the numerator and the denominator the other way round in the 2nd fraction.

find the percent of soccer and cross country kids in the fall

Answers

What’s your question ?

39. Boat ride
A boat travels 50 miles
due west before adjusting
its course 25 degrees north of west and traveling an
additional 35 miles. How far is the boat from its point of departure?
How far as the boat from
its point of departure?

Answers

Answer:

64.0655322 miles is maybe the answer

is it possible for a triangle to have an 80 degree angle and 105 degree angle? How do you know? ​

Answers

Answer:

Not possible.

Step-by-step explanation:

The sum of all 3 angles in a triangle is 180°. With the 80° and 105°, those add up to a total of 185°. This is bigger than can be with a given triangle. Therefore, a triangle with an 80° angle and a 105° angle is not possible.

Answer:

No it isn't possible

Step-by-step explanation:

sum of three angles of any triangle is 180 degrees.

so, as per Given question sum of only two angles exceeds 180 degrees which is " 80+105= 185" so it's not possible.. Hope this answer helps you

Helppp and explain too

Answers

Answer:

the first option

Step-by-step explanation:

I have attached the explanation. hope this help

Translate the problem into a mathematical sentence, using was your variable
name. Do not use spaces in your answer.
Lisa bought 15 CDs in December. Of those, 3 were jazz, the rest were world
music. How many world music discs did she buy?
HELPPP

Answers

Answer:

12

Step-by-step explanation:

Total CD's Lisa bought = 15

Jazz music = 3

World music = x

Find x

Total CD's Lisa bought = Jazz music + World music

15 = 3 + x

Subtract 3 from both sides of the equation

15 - 3 = 3 + x - 3

12 = x

x = 12

Therefore,

World music = x = 12

Lindsey is a member of the swim team at a local university. She has been working hard to perfect her dive for an upcoming swim meet. Lindsey's dive can be modeled by the quadratic equation y = – 16x2 + 33x + 45, where x is time in seconds, and y is Lindsey's height in the air in feet.

Answers

Answer:

There is no actual question here, this is just a statement.

re-read the question .... i assume it says "what is the highest that she will get during a dive?"

highest point is at t = 33/32  

– 16(33/32)^2 + 33(33/32) + 4 =

62.015625

Step-by-step explanation:

Lindsey will be 30 feet in the air at approximately 1.09 seconds and 2.48 seconds.

To find the time at which Lindsey will be 30 feet in the air, we need to solve the quadratic equation y = -16x² + 33x + 45 for x when y = 30.

Setting y equal to 30, we have:

30 = -16x² + 33x + 45

Rearranging the equation, we have:

16x² - 33x - 15 = 0

To solve this quadratic equation, we can factor or use the quadratic formula. In this case, factoring might be more challenging, so we'll use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Plugging in the values from our equation, we have:

x = (-(-33) ± √((-33)² - 4(16)(-15))) / (2(16))

Simplifying, we get:

x = (33 ± √(1089 + 960)) / 32

x = (33 ± √(2049)) / 32

Calculating the square root of 2049, we have:

x = (33 ± √(2049)) / 32

x ≈ 1.09 or x ≈ 2.48

To learn more about quadratic equation click on,

https://brainly.com/question/27958207

#SPJ2

Complete question is:

Lindsey is a member of the swim team at a local university. She has been working hard to perfect her dive for an upcoming swim meet. Lindsey's dive can be modeled by the quadratic equation y = – 16x² + 33x + 45, where x is time in seconds, and y is Lindsey's height in the air in feet.

At what time will Lindsey be 30 feet in air?

1) Venn-diagram of-
AUBUC={a,b,c,d,e}U{d,e,f,g,h,i}U{a,e,i,o,u}

Answers

Answer:

AUBUC= { a,b,c,d,e,f,g,h,i,o,u}

Find the sum -2/3+0 Pls answer right​

Answers

Answer:

[tex] - 1[/tex]

-1 is the answer in your questions

Answer:

[tex] - \frac{2}{3} [/tex]

Step-by-step explanation:

[tex] \frac{ - 2}{3} + 0[/tex]

when adding or subtracting by 0, the value does not change.

[tex] = \frac{ - 2}{3} = - \frac{2}{3} [/tex]

which statement proves that polygon ABCD is not a rectangle

Answers

Answer:

ummm u did not add the statements to the question

Step-by-step explanation:

but a polygon ABCD might not be a rectangle if:

opposite sides of polygon ABCD are not of equal lengthsall angles of the polygon may not be right angles (90°)opposite sides may not be parallel

A regular six sided die and an eight equal segment spinner, numbered 1 to 8, are rolled/spun simultaneously. What are the odds in favor of spinning a prime number on the spinner and rolling a number less or equal to 4 on the die?

Answers

Answer:

1/3

Step-by-step explanation:

In statistics, the probability of both an event A and an event B happening is equal to the probability of A happening multiplied by the probability of event B happening.

Let's say spinning a prime number is event A and rolling a number ≤ 4 is event B.

There are 8 possibilities on an eight equal segment spinner, and there are 4 prime numbers between 1 and 8 (including 8), which are 2, 3, 5, and 7. This means that the probability of spinning a prime number is 4/8, or 1/2

There are 6 possibilities on a die, and there are 4 possibilities of rolling a 4 or less (1, 2, 3, 4). Therefore, the probability of rolling 4 or less on a die is 4/6, or 2/3

The probability of both of these happening can be calculated by multiplying these together, so 1/2 * 2/3 = 2/6 = 1/3

HELP PLS ITS ALGEBRA 1

Answers

Answer:

[tex] - \frac{2}{6} [/tex]

Step-by-step explanation:

Use distributive property to simplify both sides.

[tex] \frac{1}{6} (1 - 6x) = - \frac{1}{3} ( 6x + \frac{1}{2} )[/tex]

Use the Golden Rule of Algebra: (What we do to one side, we must do to the other).

[tex] \frac{1}{6 } - x = - 2x - \frac{1}{6} [/tex]

[tex] \frac{1}{6} = - x - \frac{1}{6} [/tex]

[tex] \frac{2}{6 } = - x[/tex]

[tex]x = - \frac{2}{6} [/tex]

Answer:

Step-by-step explanation:

[tex]\frac{1}{6}[/tex](1-6x) = - [tex]\frac{1}{3}[/tex](6x+[tex]\frac{1}{2}[/tex])

distribute in the fractions

[tex]\frac{1}{6}[/tex] - 1x = -2x - [tex]\frac{1}{6}[/tex]

subtract [tex]\frac{1}{6}[/tex]  from both sides

-[tex]\frac{1}{6}[/tex]+[tex]\frac{1}{6}[/tex]-1x = -2x -[tex]\frac{1}{6}[/tex]-[tex]\frac{1}{6}[/tex]

-1x = -2x -[tex]\frac{2}{6}[/tex]

-x = -2x - [tex]\frac{1}{3}[/tex]

[tex]\frac{1}{3}[/tex] = -2x + x

[tex]\frac{1}{3}[/tex] = -x

- [tex]\frac{1}{3}[/tex] = x

x = - [tex]\frac{1}{3}[/tex]

see?  :/  

plzzz help
thank u for those who help

Answers

Answer:

SAS

Step-by-step explanation:

As per the given diagram, the following facts are evident.

(BR) = (CR), Both sides have two small orange lines on them. This shows that these sides are congruent.

(<B) = (<C), this is shown by the box around both angles, indicating that both angles have a measure of (90) degrees.

(AB) = (AC), Both sides have one small orange line on them. This indicates that these sides are congruent to each other.

Therefore, the sides are congruent by the theorem (SAS); side-angle-side, congruence.

Find the slope of the line that passes through (1, 2) and (8, 8).

Answers

Answer:

slope = [tex]\frac{6}{7}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (8, 8)

m = [tex]\frac{8-2}{8-1}[/tex] = [tex]\frac{6}{7}[/tex]

Using the approximation of 5 miles = 8 km


How many km is 22.5 miles?

Answers

Answer:

22.5÷5= 4.5

4.5×8= 36

Step-by-step explanation:

22.5÷5=4.5

4.5×8=36

Answer:

36.21024  km are in 22.5 miles you can figure this out because you multiply the length value by 1.609

HELLPPPPPPPPPPPP i will give brainliest

Answers

Answer:

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

Step-by-step explanation:

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

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

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

A boy bought an article for £9. He spent £4
repairing it and sold it for £18. Calculate the gain
percent on his total costs. (to nearest %)
Help

Answers

Answer:

Profit % = 39%

Step-by-step explanation:

Cost price of the article = 9

Price for repairing = 4

Therefore, Total cost of the article = 9 + 4 = 13

Selling price  of the article = 18

Profit = 18 - 13 = 5

Hence,

          [tex]Profit \% = \frac{Profit}{Cost \ price} \times 100\\\\[/tex]

                        [tex]= \frac{5}{13} \times 100\\\\=38.46 \%\\\\=38.5 \%[/tex]

Profit percent (to the nearest %) = 39%

Dan was thinking of a number. Dan doubles it and gets an answer of 34.7. What was the original number?

Answers

347/2 just did it!!! Good luck
You need to do 34.7/2 (divided by 2) to figure this out. The answer would then equal to 17.35

Find the area

Help me please

Answers

Answer:

143

Step-by-step explanation:

to find the area we multiply half of the sum of the bases with height

(18+8)/2*11 = 143

find the slope of the line that contains (6,2) and (6,-3)

Answers

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (6, 2) and (x₂, y₂ ) = (6, - 3)

m = [tex]\frac{-3-2}{6-6}[/tex] = [tex]\frac{-5}{0}[/tex]

Division by zero is undefined , then slope is undefined

Circumference of a circle with a diameter of 15 inches.

Answers

Answer:

Cir = d[tex]\pi[/tex]

C = 15[tex]\pi[/tex]

Step-by-step explanation:

Answer:

Exact Answer: 15π inches

Decimal Answer: 47.1 inches

Step-by-step explanation:

The unit is inches because circumference is one dimension.

1.) Circumference Formula: 2πr or dπ⇒d=diamater ⇒r=radius

2.) dπ=15π

3.) 15 × 3.14⇒approximate answer

will make brainliest, please help​

Answers

-5x+4y=2
9x-4y=6

eliminate the 4y as a positive 4 + negative 4 =0
this will leave you with
-5x=2
9x=6
add them
4x=8
divide both sides by 4

x=2


to find y, plug in x=2 for any one of the original equations

-5(2)+4y=2
-10+4y=2

add 10 to both sides

4y=12

divide both sides by 4

y=3

the final answer is (2,3)

find f(-2)for f(x)=5*3^x

Answers

f ( - 2 ) = 5 × 3^( - 2 )

f ( - 2 ) = 5 × 1/9

f ( - 2 ) = 5/9

Use the coordinates of the labeled point to find the point- slope equation of the line

Answers

Answer:

[tex]A(0,3)(x_1,y_2)[/tex]

[tex]B(2,-5)(x_2,y_2)[/tex]

[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\longrightarrow[/tex] [tex]\frac{-5-3}{2-0}[/tex]

[tex]\longrightarrow \frac{8}{2}[/tex]

[tex]\longrightarrow -4[/tex]

[tex]y-y_2=m(x-x_2)[/tex]

[tex]\longrightarrow y-(-5)=-4(x-2)[/tex]

[tex]\longrightarrow y+5=-4(x-2)[/tex]

[tex]ANSWER:B[/tex]

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

hope it helps...

have a great day!!

Solve for x. I have to show my work and no decimal answers. It's not mandatory, i just don't understand how to solve the problem. Someone pls help ;) & actually explain it.

Answers

Answer:

-22.5.

Step-by-step explanation:

Lets say that you meant w as the variable.

-4/3 w = 30.

To get rid of the 3, lets multiply 3 to both sides. We get:

3(-4/3 w) = 3(30)

We get:

-4w = 90.

To solve for the w, lets get rid of the -4 by dividing it from both sides.

(-4w)/-4 = 90/-4

We get:

w = -22.5

Check it if you want to make sure.

5 times 6 plus 1 times 8 plus 9 times 54 times 8 times 24 times 98 divided by 200 times 800 divided by 653 times 5782470

Answers

211512945555694/653

Decimal: 323909564403.819336

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