A box with dimensions 1 1⁄4 ft x 2 3⁄4 ft x 3⁄4 ft was being filled with smaller boxes. Each of the smaller boxes are shaped like a cube. The smaller cube shaped boxes have the dimensions 1⁄4 ft x 1⁄4 ft x 1⁄4 ft. How many of the 1⁄4 ft x 1⁄4 ft x 1⁄4 ft cubes can be packed into the larger box?

Answers

Answer 1

Answer: 165 boxes

Step-by-step explanation:

Given

The dimension of the bigger box is  [tex]1\ \frac{1}{4}\times 2\ \frac{3}{4}\times \frac{3}{4}\ ft^3[/tex]

the dimension of the smaller box is  [tex]\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\ ft^3[/tex]

The volume of the large box

[tex]\Rightarrow V_1=\dfrac{5}{4}\times \dfrac{11}{4}\times \dfrac{3}{4}=\dfrac{165}{64}\ ft^3[/tex]

The volume of the small box

[tex]\Rightarrow V_o=\dfrac{1}{4}\times\dfrac{1}{4}\times \dfrac{1}{4}=\dfrac{1}{64}\ ft^3[/tex]

Suppose there are n small boxes

[tex]\Rightarrow n=\dfrac{V_1}{V_o}[/tex]

[tex]\Rightarrow n=\dfrac{\frac{165}{64}}{\frac{1}{64}}=165\ \text{boxes}[/tex]


Related Questions

Janelle made ordered lists of the heights, in inches, of the students in Ms. Carver’s and Mr. Wright’s homerooms. She found the two lists had the same median value, but the list from Ms. Carver’s class showed greater variability. If the shortest student in Mr. Wright’s homeroom is 48 inches tall and the tallest student is 64 inches tall, what could be the heights of the shortest and tallest students in Ms. Carver’s homeroom?
46 inches and 61 inches
47 inches and 66 inches
52 inches and 63 inches
53 inches and 68 inches

Answers

Answer:

47 inches and 66 inches

Step-by-step explanation:

took test

above is correct ^^they are correct

A square pyramid is shown. 4 m 6 m 6 m What is the surface area of the pyramid?​

Answers

The answer is 18....

Only correct, and relevant answers please :)

Answers

Answer:

Answer is A hope this helps :)

Step-by-step explanation:

Give the quotient in simplest form:

Answers

Answer:

x

Step-by-step explanation:

x/y / 1/y =

x / 1 x y / y =

x / 1 x 1 =

x

Hope that helps!

-Sabrina

give the center and the radius of the circle of x^2+y^2+6x-8y=0​

Answers

(x+a)² + (y+b)² = R²

C (a,b)

R = 5 C( 3 , -4 )

Question 16
What is the slope of a line passing through (2, 2) and (3,5)?

Answers

5 because of slope equation

A town total allocation for firefighters wages and benefits in a new budget is $600,000. If wages are calculated at $40,000 per firefighter and benefits at $20,000 per firefighter. How many firefighters can the town employ if they spend their whole budget?

Answers

Answer:

Number of firefighters= 10

Step-by-step explanation:

Giving the following information:

Total budget= $600,000

Wage per firefighter= $40,000

Benefits per firefighter= $20,000

To calculate the number of firefighters that the town can employ, we need to use the following formula:

Number of firefighters= total budget / total cost per firefighter

Number of firefighters= 600,000 / (40,000 + 20,000)

Number of firefighters= 10

John runs 6.5 miles in 30 minutes. If he continues at this rate for 1 hours, determine his rate of change .

Answers

Answer: 13 miles

Step-by-step explanation:

30 min plue 30 min is 1 hour

if he runs 6.5 in 30 you just have to add 6.5 and 6.5 which equals 13

HELP PLEASE!! need this asap.
y = 4x + 3
y = -x - 2

Answers

Answer:pls check out the image. The answer is in the image ans hope this helps and can u give me brainliest

Step-by-step explanation:

What is the longest iron rod which can be placed flat across the diagonal of a 4m by 2.5m garden shed floor

Answers

Answer:

4.7m

Step-by-step explanation:

the length of longest iron rod which can be placed flat across the diagonal of the garden shed can be determined using the Pythagoras theorem,

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = diagonal

4² + 2.5² = 22.25²

c =√22,25 = 4.7m

Please help use 3.14 for pi​

Answers

Volume of cone: pi * r^2 * h/3
3.14 * 3^2 * 8/3
3.14 * 9 * 8/3 = 75.36 cm^3
The solution is B

Which equation represents the situation? " A number decreased by 11 is equal to 48."










Which equation represents the situation? " A number decreased by 11 is equal to 48."










Which equation represents the situation? " A number decreased by 11 is equal to 48."










Which equation represents the situation? " A number decreased by 11 is equal to 48."










Which equation represents the situation? " A number decreased by 11 is equal to 48."










Which equation represents the situation? " A number decreased by 11 is equal to 48."





Which equation represents the situation? " A number decreased by 11 is equal to 48."




Which equation represents the situation? " A number decreased by 11 is equal to 48."





Lila and Drew want to buy their mom a gift that costs $30. Raquel has $18 saved already, how much does Drew need to save to pay for the gift?

Let d = the amount that Drew has to save to help buy the gift.

Which equation can be used to solve the problem. Equation

How much money does Drew need to save so they could buy the gift?















Answers

A number decreased by 11 is equal to 48

x - 11 = 48

Lila and Drew:

18 + d = 30

To solve, subtract 18 from both sides of the equation. That gives you:

d = 12

Drew needs to save $12

The perimeter of the base of a right square pyramid is 24 cm. The height of the pyramid is 6 cm. What is the volume of the pyramid? 48 cm3 72 cm3 32 cm3 60 cm3​

Answers

Answer:

72cm

Step-by-step explanation:

The volume of the base of a right square pyramid is 72 cubic centimeters, the option second is correct.

It is given that the perimeter of the base of a right square pyramid is 24 cm and the height of the pyramid is 6 cm.

It is required to find the volume of the right square pyramid.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

We know the formula for finding the volume (V) of a right square pyramid is:

[tex]\rm V= a^2\times\frac{h}{3}[/tex]    Where a is the base side and h is the height of the right square pyramid.

[tex]\rm The \ perimeter \ of \ the \ base \ of \ a \right \ square \ pyramid = 4\times(side)[/tex]

[tex]\rm 24 = 4a\\\rm a=6 \ cm[/tex]

And h = 6 cm, putting this value in the above volume formula, wet get:

[tex]\rm V= (6)^2\times\frac{6}{3} \\\rm V= 36\times 2\\\rm V=72 \ cm^3[/tex]

Thus, the volume of the base of a right square pyramid is 72 cubic centimeters, the option second is correct.

Learn more about the pyramid here:

https://brainly.com/question/1260835

Your local radio station is having their yearly music player and concert ticket giveaway. For one minute, every 5th the caller will win a music player and every 7th caller will win concert tickets.

You were just the first caller to win both a music player and concert tickets!

What number of caller were you?

Answers

Answer:

you are the 35th caller.

Step-by-step explanation:

Multiples of 5: 5,10,15,20,25,30,35,40,45,50

Multiples of 7: 7,14,21,28,35,42,49,56,63,70

Since the question specified "first caller" , the answer is basically from the lowest common Multiple (the lowest number that appear in both multiples) , and in this case, only 35 is the lowest common multiple.

Hlp meeee (convert the improper fraction to a mixed number

Answers

Answer:

2 2/5

Step-by-step explanation:

It is because the 2 wholes and 2/5

Answer:

2 and 2/5

Step-by-step explanation:

Because the first two pies are completely shaded giving us the 2 whole. And the third pie has two parts shaded out of the five parts giving us the 2/5.

Now you put them together: 2 and 2/5.

Mr. barrera has 2 bags of cat food. One bag has 20 ounces and the other has 3 1/2 times as much as the first bag. If Mr. Barrera uses 1/5 of the cat food from the larger bag to feed his cats, how many ounces of cat food did he use?

Answers

Answer: 14 oz

Step-by-step explanation: Trust me it’s right

The number of ounces of cat food that Mr. Barrera used is; 14 Ounces (Oz)

Number of bags with cat food = 2 bagsNumber of ounces in first bag = 20 Oz

Other bag has 3½ times as much as first bag. Thus;

Number of ounces in second bag = 3½ × 20 = 70 Oz

He uses 1/5 of the cat food from the larger bag.

Thus;

He used; 1/5 × 70 = 14 Oz of cat food

Read more about proportions at; https://brainly.com/question/1781657

Plz, answer this question plz!

Answers

Answer:

the second option im pretty sure

Answer:

4/48. I don't know for sure, but I think B is the correct answer

help i’ll give brainliest if you give a correct answer

Answers

Answer:

48 drops

Step-by-step explanation:

32/8 = 4 x 12 = 48 drops

Answer:

48 drops

Step-by-step explanation:

you see that for every 8 drops of yellow there's 12 drops of red and there ends up being 32 drops of yellow and 32/8=4 so you take 12x4 to get how many drops of red.

For each equation, find a value for x that makes the equation true.

4x/3x=10/3

Answers

Answer:

No Solution

____________________________________________________________

a baby weights 7 pounds at birth. the table shows the birth weight after each month of life, up to six months​

Answers

Answer:

they are adding by 7 because 6 +7=13

can someone please help me i will mark brainliest

Answers

Slope=7/2=3.5
Up 7, over 2

I need help asap please

Answers

Jose reads at a rate of 35 pages. Ty reads 455 pages in 7 hours while Jose reads 245. The difference is 210 pages.

I need the answer for real fast. Question below

A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?


x + 4

x + 40

3x + 13

3x + 43

Who started the whole link thing anyways?

Answers

Answer:

It's x + 4

Step-by-step explanation:

And I don't know who started this link thing

Hope this helps and have a great day *(:^w^:)

Answer:

It's 3x + 13

Step-by-step explanation:

brainlyest ^(`ω´ )^ψ

i need to talk with you

52/4=13

12x/4=3x

3x+13

Given A(8,3), B(4,8), C(4,4) and D(8,-1) find the slope of AB

Answers

Answer:

Step-by-step explanation:

Slope: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in A(8,3) and B(4,8)

[tex]=\frac{8-3}{4-8} \\=\frac{5}{-4}\\=-\frac{5}{4}[/tex]

Therefore, the slope of AB is [tex]-\frac{5}{4}[/tex].

I hope this helps!

please help asap!


A scatter plot is shown:

What type of association does the graph show between x and y? (4 points)

a. Linear positive association
b. Nonlinear positive association
c. Linear negative association
d. Nonlinear negative association

Answers

Answer:

A

Step-by-step explanation:

the dots form a line going upwards from the origin in a positive way (quadrant 1)

The radius of a circle is 4 centimeters. What is the area of a sector bounded by a 135 degrees arc?

Answers

Answer:

The answer is 0.235619449 rad m.

I have a test tmrw pls help

Answers

The answer is 5x -2y = 3

So first you would have to find the slope using the two points and the equation: y2-y1/x2-x1, which in this case means you take 6+4/3+1, which would be a slope of 10/4 or 5/2, or 2.5. Using this, we can take a point, use point slope form, and rearrange it. So:

y-6=2.5(x-3)

y-6=2.5x-7.5

-2.5x+y=1.5

.H E L P.
choose the best selection for the quadrilateral with vertices at following points
0,0 -2,3 7,0 5,3

Answers

Answer:

The quadrilateral has two pairs of opposite parallel sides and (from the graphing of the points) it is slanted from the vertical, therefore, it is a;

B. Parallelogram

Step-by-step explanation:

The coordinates of the vertices of the given quadrilateral are;

(0, 0), (-2, 3), (7, 0), (5, 3)

Arranging the coordinates according to their y-values and labelled gives;

A(-2, 3), B(5, 3), C(0, 0), D(7, 0)

The graph of the points created with Microsoft Word and Microsoft Excel is attached

From the graph, we have;

Segment AB is parallel to segment CD

The length of segment AB = √((5 - (-2))² + (3 - 3)²) = 7

The length of segment CD = √((7 - 0)² + (0 - 0)²) = 7

∴ The length of segment AB = The length of segment CD

The distance between segment AC and segment BD = Length of segment AB at point A = Length of segment CD at point C

∴ Segment AC is parallel to segment BD (The distance between two parallel lines is the same all through)

The quadrilateral is also observed to be slant from the vertical

Therefore the quadrilateral is a parallelogram

Martina owns 32 shares of a certain stock. Yesterday the value of each share went up by 8
dollars. What was the total change in value of her shares?

Answers

Answer:

wef

Step-by-step explanation:

wef

please give the answer fast

Answers

Step-by-step explanation:

my personal opinion is that the answer is 20

Class interval median is 15-20
Frequency median is 80
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