A rectangular prism has a length of 20 in., a width of 2 in., and a height of 314 in.

The prism is filled with cubes that have edge lengths of 14 in.

How many cubes are needed to fill the rectangular prism?

AAAAAAAAAAAAAAAAAAAAAAA I NEED HELPP

Answers

Answer 1
first solve the volume of the prism
V = l x w x h
where l is the length
w is the width
h is the hieght

V = 20 x 2 x 314
V = 12560 cu in

then solve the volume of the cube
V = e^3
V = 14^3
V = 2774 cu in

number of cube = 12560 / 2774
number of cube = 4 cubes
Answer 2

Answer:

• first find the volume of the rectangular prism:

[tex]{ \tt{volume = length \times height \times width}} \\ \\ \dashrightarrow \: { \tt{v = 20 \times 314 \times 2}} \\ \\ { \underline{ \tt{ \: \: volume = 12560 \: in {}^{3} \: \: }}}[/tex]

• find volume of the cubes:

[tex]{ \tt{volume = {side}^{3} }} \\ \\ { \tt{v = 14 {}^{3} }} \\ \\{ \underline{ \tt{ \: \: volume = 2744 \: {in}^{3} \: \: }}}[/tex]

• Therefore:

[tex]{ \tt{cubes = \frac{volume \: of \: prism}{volume \: of \: cubes} }} \\ \\ \dashrightarrow \:{ \tt{ \frac{12560}{2744} }} \\ \\ \dashrightarrow \: { \boxed{ \tt{ \: \: 4.58 \approx \: 5 \: cubes}}}[/tex]


Related Questions

4/5% of 30: Estimate

Answers

Answer:0.24

Step-by-step explanation:

Answer:

0.24

Step-by-step explanation:

⅘% of 30

⅘ = 0.8

0.8% of 30

eg: 0.8 = x     30 = y

[tex]\frac{x*y}{100}[/tex] (this is the formula for calculating the percentage of a number)

[tex]\frac{0.8*30}{100}[/tex] = 0.24

Question
Solve the equation.

−8(y+9)=−40
y=?

Answers

Answer:

y+9= -40/-8

y+9= 5

y=5-9

y= -4

y-4! good luck and have a great day, also have a good school year!! :)

identify the slope and y-intercept of the function y = -2x+4

Answers

The y intercept is 0 because when you find x it’s 2 so you plug that in and you get y=0

Answer:

Slope = -2

y-intercept = (0, 4)

Step-by-step explanation:

The equation is written in slope-intercept form, y = mx + b, where "m = slope" and "b = y-intercept". Thus, we have to identify what part of the equation is part of each element in slope-intercept form:

Slope-intercept form

y = mx + b

Equation:

y = -2x + 4

m = -2

b = 4

Thus, the slope is -2 and the y-intercept is (0, 4)

At a school cafeteria, a staff person surveyed the food preferences of 35 students. For every five students, two said they liked liked heathy food. How many students preferred heathy foods.

Answers

Answer: 14 students.

Step-by-step explanation:

7 students preferred heathy food

Geometry
Answer with a proper explanation

Answers

Answer:

We know that nonagon have total of 1 260 angles.

1 260 = 8x + 4x

1 260 = 12x

x = 105

Therefore, the value of x is 105.

8 angles have 105 degrees and the other one is 420.

Step-by-step explanation:

heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ  -{ elyna s }-
The answer of this equation is X =105

A chef made 150 cups of chili and sold 60% of it. A serving size of the chili is 1 2/3 cups. How many servings of the chili were sold.

(Unit: expressions & equations)

Answers

150× 60% ÷ 1⅔

150×60/100 ÷ 5/3

15 × 6 ×3/5

3 × 18

54

54 servings of the chili were sold.

The number of cups of chili that he sold will be will be 90 cups. Then the number of servings of the chili sold will be 54.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

A chef made 150 cups of chili and sold 60% of it. Then the number of cups of chili that he sold will be calculated as,

⇒ 60% of 150

⇒ 0.60 x 150

⇒ 90 cups

The serving size of the chili is 1 ²/₃ cups.

Convert the mixed fraction number into a fraction number, then we have

1 ²/₃ cups = 1 + 2/3

1 ²/₃ cups = 5/3 cups

Then the number of servings of the chili sold will be calculated as,

⇒ 90 / (5/3)

⇒ 90 x (3 / 5)

⇒ 18 x 3

⇒ 54

The number of cups of chili that he sold will be will be 90 cups. Then the number of servings of the chili sold will be 54.

More about the percentage link is given below.

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Which net represents the three-dimensional figure shown on the right? Will give brainliest!

Answers

Answer:

Looks like the top left

Answer:

It's the 1st one from the left!

Step-by-step explanation:

A toy company's total payment for salaries for the first two months of 2012 is $40,765. Write and solve an equation to find the salaries for the second month if the first month’s salaries are $10,205.

Answers

Answer:

its D

12,455 + x = 23,894

x = 10,560

Step-by-step explanation:

Let's say that the variable 'x' represents the salaries for the second month, so out equation would be:

10,205 + x = 23,894

To solve, we must isolate the variable by subtracting 12,455 from both sides:

10,205 + x = 23,894

-10,205        -10,205

x = 10,560

So, the second month's salary was $10,560

Step-by-step explanation:

Answer: x = $30,560

Step-by-step explanation:

1. Let the second month payment be x

2. The first month + The second month = both of the months

3. So substituting: 10,205 + x = 40,765

4. Subtract 10,205 from both sides: x = 30,560

Sam’s Soups is open 6 days a week, 76 hours in all. Its hours are the same every day, except on Saturday and Sunday. On those days, it is open 2 hours longer. How long is Sam’s Soups open on Sunday? Use an equation to solve.

Answers

The number of hours that Sam’s Soups is open on Sunday will be 14 hours.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Sam's Soups is open 6 days per week, 76 hours altogether. Its hours are similar consistently, besides on Saturday and Sunday. On those days, it is open 2 hours longer.

Let 'x' be the number of hours spent on Saturday and Sunday. Then the equation is given as,

x + x + (x - 2) + (x - 2) + (x - 2) + (x - 2) = 76

Simplify the equation, then we have

6x - 8 = 76

6x = 84

x = 14 horus

The number of hours that Sam’s Soups is open on Sunday will be 14 hours.

More about the solution of the equation link is given below.

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Help again plessssssssss

Answers

Answer:

Step-by-step explanation:

20 + 30 + 30 then 792 + 260 get your answer for both and add the answers together

Answer:

Step-by-step explanation:

the answer is 23.4 ?

what is the answer for 5/8x + 4 = 3/8x + 12






















Answers

Answer:

x=32

Step-by-step explanation:

Answer:

x = 32

Step-by-step explanation:

Put an Actual reasonable answer for the question please.

Answers

Answer:

D (Alicia did 5 more jumping jacks per minute than Melissa.)

Step-by-step explanation:

Alicia's rate is 30 jumping jacks per minute. You can use the formula m=(y2-y1)/(x2-x1) to find the slope/rate. The two points in the table you can use are (1,30) and (2,60). You can plug those coordinates into the slope formula. (60-30)/(2-1)=30/1= 30 jumping jacks per minute.  To find the rate of change/slope for Melissa, you can use the same formula m=(y2-y1)/(x2-x1). The two points you could plug in are (0,0), and (4,100). (100-0)/(4-0)=100/4=25. Melissa does 25 jumping jacks per minute.

That’s hard wow ur smart I cant

Prentice Hall Mathematics Course 1 Chapter 2 page. 77
------------------------------------------------
a. COOKING Q: The largest pan of lasagna weighed 3477 pounds. The length of the pan was ten times its width. Write an algebraic expression for the length of the pan of lasagna in terms of its width W.
b. The lasagna measured 7 feet wide. Evaluate the expression to find the length of the pan of lasagna
----------------------------------------------------------------------------------
Please answer this question quick!!

Answers

Answer:

sorry I have no clue I don't like mathe either the half of the reason I can't answer it

The expression of length in terms of width is L = 10W and the length of the pan when the width is 7 feet will be 70 feet.

What is an expression?

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

Suppose, the length and width of the pan are L and W corresponding.

As per the given,

(a)

The length of the pan was ten times its width.

L = 10W

The above expression is the length of the pan in terms of width.

(b)

The lasagna measured 7 feet wide.

L = 10 x 7 = 70 feet

Hence "According to the formula L = 10W, the length of the pan will be 70 feet when the width is 7 feet.".

To learn more about expression,

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Solve the equation. What is X?

6 ( x − 2 ) = −18

(It is NOT -5, 5, -6, 6 I kept on getting that as the answer)

Answers

[tex]6(x-2)=-18[/tex]

Distribute:

[tex](6)(x)+(6)(-2)=-18[/tex]

[tex]6x-12=-18[/tex]

Add 12 to both sides:

[tex]6x-12+12=-18+12[/tex]

[tex]6x=-6[/tex]

Divide both sides by 6:

[tex]\dfrac{6x}{6} =\dfrac{-6}{6}[/tex]

[tex]\fbox{x = -1}[/tex]

So the answer would be x=-1

BRAINLIEST Which net represents the three-dimensional figure shown on the right?

Answers

The answer is C, there are many formulas associated with it.
The formula for c for the current figure is 2(base * height) + s1 + s2 + s3(length)
But the formula I use is a*b + 3 * b * height, where a and B are sides

The net represents the three-dimensional figure is

2(1/2 x 3 x 4) + 4 x 2 + 3 x 2 + 5 x 2

The correct option is C.

What is Expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

Expression: (Math Operator, Number/Variable, Math Operator)

We know that the formula for calculating the Area of prism is

= 2 ( base x height) + (s1 + s2 + s3) length

But according to the given figure we have to

= length x width + 3 x width x height

= ab + 3bh

Learn more about Expression here:

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Is the relationship between the distance traveled and the time shown in the graph proportional?

Answers

no it isn’t because I said so

Answer:

NO

Step-by-step explanation:

it's starts at the origin but is not a straight line.

(part 2 of my request, check my profile questions to see more thx! <3)

Answers

Answer:

Time +1, Temp +2

Students +5, Magazines +50

Trees +5, Apples +100

I don’t know cook but what the other guy said

In what ways was Brian struggling for survival in the first two chapters (both physically and emotionally)? Use RACE to respond. Book is HATCHET.

Answers

Answer:he used the hatchet by making a fire

Step-by-step explanation:

He was suffering mentally because of his parents divorce, and that he had to go to his father at summer. Physically: by crashing into the plane and trying to survive all alone in the forest with nothing but a hatchet.

Jess lists four factor pairs of 72 and as 2 x 36, 4 x 18, 6 x 12 and 8 x 9. Which factor is a prime number? ( I NEED AN ANSWER ASAP!)

Answers

The answer is 2. This is due to the fact that 2 only has factors that are 1 and itself.
Pretty sure the answer is 2

how many least common multiples of 10 and 12 are there one or infinitely many- 20 points to answer quickly

Answers

there is only one, the least common multiple is 60

Answer:

Step-by-step explanation:

Least Common Multiple of 10 and 12 = 60 Step 1: Find the prime factorization of 10 10 = 2 x 5 Step 2: Find the prime factorization of 12.

Mr. Chin asked his class to solve for y in the equation 8(3y - 5) = 9(y - 5) -1. Explain how to solve for y. Then solve.

Answers

Answer:

[tex]\Huge \boxed{\boxed{\bf{y = -\frac{2}{5} }}}[/tex]

Step-by-step explanation:

To solve for [tex]\tt{y}[/tex] in the equation [tex]\tt{8(3y - 5) = 9(y - 5) - 1}[/tex], we'll need to simplify and isolate the variable.

Let's start by distributing the 8 on the left side and the 9 on the right side of the equation:

[tex]\tt{8(3y - 5) = 9(y - 5) - 1}[/tex][tex]\tt{24y - 40 = 9y - 45 - 1}[/tex]

Next, we'll combine like terms on both sides of the equation:

[tex]\tt{24y - 40 = 9y - 46}[/tex]

To isolate the variable, we'll move all the terms involving y to one side of the equation. Let's subtract 9y from both sides:

[tex]\tt{24y - 9y - 40 = 9y - 9y - 46}[/tex]

Simplifying further, we have:

[tex]\tt{15y - 40 = -46}[/tex]

To isolate "y," let's add 40 to both sides:

[tex]\tt{15y - 40 + 40 = -46 + 40}[/tex]

Simplifying, we get:

[tex]\tt{15y = -6}[/tex]

Finally, we can solve for "y" by dividing both sides of the equation by 15:

[tex]\tt{\frac{15y}{15} = \frac{-6}{15}}[/tex]

Simplifying the equation, we have:

[tex]\tt{y = -\frac{2}{5} }[/tex]

So, the solution to the equation is y = -2/5.

Learn more about solving equations that have variable on both sides.

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________________________________________________________

Full Steps

[tex]\bf{8(3y - 5) = 9(y - 5) - 1}[/tex][tex]\tt{24y - 40 = 9y - 45 - 1}[/tex][tex]\tt{24y - 40 = 9y - 46}[/tex][tex]\tt{24y - 9y - 40 = 9y - 9y - 46}[/tex][tex]\tt{15y - 40 = -46}[/tex][tex]\tt{15y - 40 + 40 = -46 + 40}[/tex][tex]\tt{15y = -6}[/tex][tex]\tt{\frac{15y}{15} = \frac{-6}{15}}[/tex][tex]\tt{y = -\frac{2}{5} }[/tex]

________________________________________________________

Caleb earns $_____ per hour_______ than Hassan.
^
more or less

Answers

Answer:Caleb earns $24 per hour more than Hassan

Step-by-step explanation:

819.40/34=24.08 rounded to 24

Hassan makes 21.5 per hour

Answer:

Caleb earns $2.6 per hour more than Hassan.

Step-by-step explanation:

eg:

Hassan: $21.5 = 1hr

Caleb: $819.40 = 34hr

819.40 ÷ 34 = $24.1 (earned by Caleb per hour)

$24.1 - $21.5 = $2.6 (more than Hassan)

Heloo need help on mathe ples

Answers

Answer:

add all the sides

Step-by-step explanation:

The easiest way to solve this is creating two shapes; cut the top off so it's a square-like shape, and you'll also have the long rectangle at the bottom.

the first shape's area is 3.8 x 4 = 15.2

the second is 13.05 x 3.6 = 46.98

since originally it's one shape, add them together. the area is 62.18 ft^2.

Write a situation that matches the diagram, or make a diagram that matches the situation.
Use the picture I posted and draw/write (clearly) the correct answer.
Thank you!​ This needs to be done by today and quick.

Answers

so uh...which picture?

i can’t help if there isn’t a picture. maybe link one or post it on the comments

True or false, the fractions ¾ and 6/8 are equivalent.

A. True

B. False

Answers

Answer: A. True

Step-by-step explanation:

A because 3/4 multiplied by 2 on both top and bottom are 6/8

Which points have a distance of 6 units between them?

Select all that apply.

Answers

B, A, and C. If your just looking at the points on a graph than those would three sets of points have direct lines that are 6 points apart

Answer: The answers are A, B, C.

Step-by-step explanation:

Sam’s Soups is open 6 days a week, 76 hours in all. Its hours are the same every day, except on Saturday and Sunday. On those days, it is open 2 hours longer. How long is Sam’s Soups open on Sunday? Use an equation to solve.

Answers

Answer:

Step-by-step explanation: try 14

`d=3t` represents the relationship between the distance `\left(d\right)`in inches that a snail is from a certain rock and the time `(t)` in minutes.



a. What does the number `3` represent? b. How many minutes does it take the snail to get `9` inches from the rock c. How far will the snail be from the rock after `9` minutes?

Answers

Answer:a.3 is the coefficient

b.3minutes

c.27inches

Step-by-step explanation:

a. In d=3t equation, d and t are variables. 3 is the coefficient for 't'.

b. In d=3t , d is 9inches.

so 9 = 3t

or t = 9/3 =3minutes

c. In d= 3t, t is 9minutes.

So d= 3*9 = 27inches.

Answer:   b.3minutes  c.27inches

Step-by-step explanation:

another math question because i do not understand math at all

Answers

Answer:

8/15

Step-by-step explanation:

There is absolute value, so the a and b become positives.

But there is a negative on the outside, meaning  - (a+b)

So:

-1 2/3 - 1

______

2 - (-3)

Then..

-2 2/3

______

5

You can convert each number to a complete fraction and use keep change flip.

2 2/3 = 8/3 and 5 = 15/3

8/3 divided by 15/3 is..

8 x 3

_.   _

3.   15

You can cancel out the 3's and then multiple 8/1 x 1/15

That equals 8/15, since you can't simplify it anymore.

The answer to the question is 8/15

Check that 12g is equivalent to 48%.

Answers

Answer:

See answers in the picture below.

Step-by-step explanation:

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