The dimensions of a rectangular prism are shown below:

Length: 1 and 1 over 2feet
Width: 1 foot
Height: 2 and 1 over 2feet
The lengths of the sides of a small cube are 1 over 2 foot each.

Part A: How many small cubes can be packed in the rectangular prism? Show your work. (5 points)

Part B: Use the answer obtained in part A to find the volume of the rectangular prism in terms of the small cube and a unit cube. (5 points)

Answers

Answer 1

Answer:

Step-by-step explanation:                    

A - 30 cubes

B - Volume of prism = feet³

Step-by-step explanation:

We are given that the dimensions of the rectangualr prism is,

Length = = feet

Width = 1 foot

Height =

feet

Thus, the volume of the prism = Length × Width × Height

i.e. Volume of the prism =

feet³

Now, the side of the cube =

foot each.

Volume of the cube =

feet³

Part A: Number of cubes which can be packed inside the prism are given by,

Number of cubes = Volume of prism divided by Volume of cube

i.e. Number of cubes =

  i.e. Number of cubes =

 i.e. Number of cubes = 15 × 2 = 30

Hence, 30 cubes can be packed inside the rectangular prism.

Part B: As we have, there are 30 cubes which can be fit inside the prism.

Since, the volume of 1 cube =

feet³  So, Volume of 30 cube =

=

feet³

Thus, the volume of the rectangular prism is

feet³

Answer 2

Answer:

I'm pretty sure the answer to part A is 30 but i cant help with part B. sorry ):


Related Questions

1.5x - 2.5. x=3. (show work)

Answers

Step-by-step explanation:

Simplifying

1.5x + -2.5x = 3

Combine like terms: 1.5x + -2.5x = -1x

-1x = 3

Solving

-1x = 3

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '-1'.

x = -3

Simplifying

x = -3

Answer:

1.5(3)-2.5

4.5 - 2.5

2

Step-by-step explanation:

the answer is 2 ;)

Greta uses 2 ounces of pasta to make 2/9 of a serving of pasta. How many ounces of pasta are there per serving?

Answers

Answer:9 ounces

Step-by-step explanation:

So first you want to start off with what you know

2/9 of a swerving is 2 ounces of pasta

Which aslo lets you know 1/9 of a serving = 1 ounce of pasta

Since 1/9 of a serving is 1 ounce you want to times that by 9 to get a whole serving

1 * 9 = 9

So you know that 1 serving is 9 ounces of pasta

9 ounces per serving

PLEASE HELP IM SUPER ANXIOUS RIGHT NOW!!!!!
Graph the function
f(x)= {x+1 if x 1
on the coordinate plane

Answers

Fxf25g57+278=147k ?..

Shawna says, “I can begin by dividing each side of the equation by –2.5 to get 5 minus n minus StartFraction 2 over 2.5 EndFraction = Negative StartFraction 15 over 2.5 EndFraction.”
Dexter says, “I can begin by distributing Negative 2.5 to get Negative 12.5 + 2.5 n + 2 = 15.”
Tilana says, “I can begin by multiplying each side of the equation by Negative StartFraction 1 over 2.5 EndFraction to get 5 minus n minus 0.8 = negative 6.”

Which students are correct?
only Shawna and Tilana
only Shawna and Dexter
only Dexter and Tilana
Shawna, Dexter, and Tilana

Answers

Answer:

all are correct  

Shawna, Dexter, and Tilana

are all right

Step-by-step explanation:

can i have brainiest [tex]pretty[/tex] [tex]please[/tex]  

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Simplify the expression 2x+(x)(3+x). Write products as powers when possible.

Answers

Answer:

Step-by-step explanation:

2x+(x)(3+x) multiple or foil the ()

2x+3x+x^2 combine like terms

5x+x^2 or x^2+5x

5x + x^2
distribute x to 3 and x
that leaves you with 2x+3x+x^2
then combine like terms
and you get 5x + x^2

If $(2x+5)(x-3)=14$, find the sum of the possible values of $x$.

Answers

Answer:

x = 1/4 ± 1/4√233

Step-by-step explanation:

(2x + 5)(x - 3) = 14

~Use FOIL on the left side

2x² - 6x + 5x - 15 = 14

~Combine like terms

2x² - x - 15 = 14

~Subtract 14 to both sides

2x² - x - 29 = 0

~Use the quadratic formula and simplify

x = 1/4 ± 1/4√233

Best of Luck!

Cell phone Plan A costs $70 per month and comes with a free $500 phone. Cell phone Plan B costs $50 per month but does not come with a phone. If you buy the $500 phone and choose Plan B, how many months is it until your cost is the same as Plan A's?

____________months

Answers

Answer:

25 months

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

The ratio of BMX bikes in a sporting goods store to mountain bikes is 3 to 2. The store
has 90 BMX bikes. How many mountain bikes does the store have?

Answers

BMX: 3 to 2

BMX:90 to 60

90x2=180 180÷3=60

Answer: 60

The store has 60 mountain bikes if there is ratio of BMX bikes in a sporting goods store to mountain bikes is 3 to 2.

What is Ratio?

An ordered pair of numbers a and b, written a / b where b does not equal 0 is called ratio.

The ratio of BMX bikes to mountain bikes in the store is 3 to 2.

Which means that for every 3 BMX bikes, the store has 2 mountain bikes.

It is given that the store has 90 BMX bikes.

Let us set up a proportion to find the number of mountain bikes:

3 BMX bikes / 2 mountain bikes = 90 BMX bikes / x mountain bikes

where x is the number of mountain bikes.

Now solve for x

3 BMX bikes × x mountain bikes = 2 mountain bikes × 90 BMX bikes

3x = 180

Divide both sides by 3

x = 60

Therefore, the store has 60 mountain bikes.

To learn more on Ratios click:

https://brainly.com/question/1504221

#SPJ3

HELPPPP PLZZZZ!!!!!!!!!!!

Answers

Answer:

1 hour=$9.30

5 hours=46.50

8 hours=$74.40

11 hours=$102.30

6 1/2 hours=$60.45

B)$20

Step-by-step explanation:

Multiply each hour by $9.30.

Divide $186 by $9.30

An open sentence that contains the symbol , or ≥ is called a(n)

Answers

Answer:

It is called an inequality.

hope this helps!

Step-by-step explanation:

An open sentence that contains the symbol , or ≥ is called a(n) Is called an inequality. I hope this helps!

The previous balance in your check register $234.67 . You make a deposit of 150.00 .You write a check for $63.23 . What is your new balance ???

Answers

Answer:

321.44

Step-by-step explanation:

$321.44 is the answer

reduce 36/-24 to the standard form​

Answers

Answer: -3/2
Least form of =
Step-by-step explanation:
Reducing in standard form :

/* Finding HCF of 36 and 24 , we get
36 = 2×2×3×3
24 = 2×2×2×3
HCF (36,24) = 2×2×3 = 12
Now ,
Divide numerator and denominator by 12 , we get
-36/12/24/12

Therefore,
Least form of =-36/24= -3/2
-3/2..................

Help Please I will give brainliest
order them from greatest to least

Answers

Answer:

3rd one, 4th one, 1st one, 2nd one

Step-by-step explanation:

1st one - 2.6

2nd one - (-3.125 )

3rd one - 10.35

4th one - -2.95

Answer:

-4.5 x -2.3 < -3 3/10 - (- 7/30)  < 5/-1.6<  5 6/15 + (-2 4/5)

Hope this helped good luck

Monica bought 2 drinks and 3 bags of popcorn for $22. Her dad bought 4 drinks for $20. How much is each drink and bag of popcorn? One equation looks like:
2x + 3y = 22
Find the other equation and solve the system.

Answers

Answer:

7

Step-by-step explanation:

Answer:

each drink costs $5 each bag of popcorn cost $4

Step-by-step explanation:

Please help me with this question

Answers

Answer:

The answer is C.

Step-by-step explanation:

5*6=30

Answer:

C

Step-by-step explanation:

you could round 4.95 up to 5

5×6=30

20 is NOT a good estimate

Please help i have no idea how to do this.

Answers

You’re on your own with this one buddy
Well it’s growing at 2 cm per day so after it is at 9 cm the next day it will be at 11 cm
( please mark brainliest )

I just do not understand how to answer this questions (not a test brainly)

Answers

Answer: その店はスナックよりも96杯多い飲み物を売った。

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

80% bought a drink

30% bought a snack

30% is said to be 120 people

So 60% would be 240 (30%x2)

To find the remaining 20% we need to find out how much one part will be so:

120÷30 is 4

20x4=80

240+80= 320

320-120=200

correct me if I'm wrong

To divide using a model, which of the following are true? Select all that are correct.

Answers

Answer:

Im srry can you give me the answers for the question

Step-by-step explanation:

Plz so I can help you

BRAINLIST WILL BE GIVEN . to answer just just say for example graph one goes with equation 3 and table 4 . this was just a example not the answers . only answer if you know the answer .

Answers

9514 1404 393

Answer:

  (graph, table, equation) = (1, 5, 2), (2, 3, 1), (3, 2, 4), (4, 4, 5), (5, 1, 3)

Step-by-step explanation:

The graphs have the following (slope, intercept), so can be easily matched with the corresponding equation.

  (1/2, 1), (2, -1), (1, 2), (1/2, -1), (-2, -1)

We can look at the points in the tables to see which graph they appear on.

Table 1, (-2, 3) is on graph 5

Table 2, (-3, -1) is on graph 3

Table 3, (-1, -3) is on graph 2

Table 4, (-2, -2) is on graph 4

Table 5, (4, 3) is on graph 1

__

Then our triples of graph, table, equation are ...

  (1, 5, 2), (2, 3, 1), (3, 2, 4), (4, 4, 5), (5, 1, 3)

Answer:

hi! this is for free points and so you can give the other person brainliest! Hope your day goes well :)

Step-by-step explanation:

Mt. Everest, the highest elevation in Asia, is 29,028 feet above sea level. The Dead Sea, the lowest elevation, is 1,312 feet below sea level. What is the difference between these two elevations? Show your work

Answers

Answer:

30,340 feet above sea level is the correct answer.

Step-by-step explanation:

To find the difference to between the two sea levels, subtract the lowest quantity (or the elevation of the Dead Sea) to the largest quantity (or the elevation of Mt. Everest.)

However, in this situation, you must also add the quantity of the above sea level to the subtraction, since the lower quantity is above sea level.

29,028 - 29,028 = 0

Now, we must subtract the lower quantity of 1,312.

0 - 1,312 = -1,312

If this was to be represented on a number line, the difference between our work relates to the absolute value, or the amount of spaces a number is from 0. Even though this is a negative number, you can take away the sign (if there is any) from in front of the number, and the absolute value will still be 1,312.

To find the total difference, add 29,028 to 1,312.

29,028 + 1,312 = 30,340

Therefore, our final answer is 30,340 feet above sea level.

Hope this helps! :)

Can someone please answer this



10 points

Answers

Answer:

C, 5

Hope this helps!

Step-by-step explanation:

Answer:

C.) 5

Step-by-step explanation:

Hope I helped

Please help me on this question hery hard 5x5=

Answers

Answer:

25

Step-by-step explanation:

Answer: 25

Step-by-step explanation:

5+5+5+5+5=25

Tyler’s Puzzle

Choose a number, but do not share the number with anyone else. You will perform a sequence of operations on your number and then write your final answer.

Triple the number.
Subtract 7.
Double the result.
Subtract 22.
Divide by 6.

Write your explanation, figure out how Tyler's Puzzle works. ( use variables, expressions, and/or equations in your explanation.

Answers

Answer:

12.3

Step-by-step explanation:

16x3=48x2=96-22=74 divided by 6=12.3

Please help! Brainliest to the first answer!

Answers

She needs 4 more beads

Use the identity (x+y)(x2−xy+y2)=x3+y3 to find the sum of two numbers if the product of the numbers is 28, the sum of the squares is 65, and the sum of the cubes of the numbers is 407.

Answers

Answer:

Step-by-step explanation:

1) f(x) = x+y , xy = 49 --> f(x) = x+49/x

f '(x) = 1-49/x2 , x = ±√49 , choose x = +7

y = 49/x = 7

smaller = 7

larger = 7

2) Vertical Distance is difference between the two functions

V(x) = x+56 - x2, V '(x) = 1 -2x --> x = 1/2 --> V(1/2) = 56.25 <---Max Vertical distance

Boundary at -7 and 8 are less

3) I googled the equation, it is really y(n) = kn/(49+n2)

y '(n) = (k(49+n2) - 2kn2)/(49+n2) , Setting to zero, k(49+n2) -2kn2 = 0 , n = 7

4) Let x and y be the sides of the rectangle. A = xy = 37.5 Million or y = 37.5/x

The length of the fences is f(x) = 2x + 3y = 2x+112.5/x

f '(x) = 2-112.5/x2 --> x = √56.5 = 7.5 and y = 37.5/7.5 = 5 then scale by √Million

smaller = 5000 ft and larger = 7500 ft

this took me ages to work out so hopefully it helped

Answer:

x + y = 11

Step-by-step explanation:

xy = 28

x² + y² = 65

x³ + y³ = 407

(x + y)(x² - xy + y²) = x³ + y³

(x + y)(x² + y² - xy) = x³ + y³

(x + y)(65 - 28) = 407

37(x + y) = 407

x + y = 407÷37

x + y = 11

Math Topic: Scale Drawings. What is the scale factor from polygon ABCD to polygon PQRS? Write your answer in fraction form. ( Look at image to get answer) Please answer! I just started this unit and I don't know the answer.

Answers

Answer:

1.5 is the asnwer because when you multiply first image by 1.5 you get the second.

Hey everyone i need your help again what's 3(11x + 5) = 279

Answers

Answer:

x = 8

Step-by-step explanation:

We can use PEMDAS to solve algebraic equations:

Parentheses

Exponents

Multiplication/Division

Addition/Subtraction

First, we have parentheses in this equation, so distribute

3(11x) + 3(5) = 279

Next, because there are no exponents, multiply

33x + 15 = 279

To isolate x, subtract 15 from both sides

33x + 15 - 15 = 279 - 15

33x = 264

Then divide both sides by 33

x = 8

Is she correct? Why or why not? Justify your reasoning.

Answers

Answer:

No she is wrong.

Step-by-step explanation:

4^4=4*4*4*4=256

Answer:

wrong

Step-by-step explanation:

the correct answer is 2^4=16

In a scale drawing of a plane, 1 inch equals 3 meters. If the drawing of the plane is 17 inches what is the actual length of the plane?

Answers

Answer:

5.2 meters

Step-by-step explanation:

Answer:

5.2 Meters

Step-by-step explanation:

Hope I helped

Have a great day

BRAINILIST TO FIRST PERSON TO ANSWER AND GET IT CORRECT!!! please answer fast!

Answers

Answer:

The model show the expression 3/10 ÷ 1 4/5. There are six groups of 3/10 that make up 1 4/5. Tina can make six bottles of perfume.

Step-by-step explanation:

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