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



Lella is fertilizing her garden. The garden is in the shape of a rectangle. Its length is 14 feet and its width is 11 feet. Suppose each bag of fertilizer covers 22
square feet. How many bags will she need to cover the garden?

Answers

Answer:

Step-by-step explanation:

14ft(11ft)(b/22ft^2)=7b

She will need 7 bags of fertilizer.

Two photos were taken of a car.
photo 2 was taken 0.5 seconds after photo 1.
the marks on the road are 0.8 metres apart.
calculate the average speed of the car in m/s.

Answers

Answer:

14.4 m / s

Step-by-step explanation:

=distance between the car

=0.8 × 9

=7.2m

=time taken

=0.5s

=speed

=distance/time

=7.2m/0.5s

=14.4 m / s

warm up !!!!!!!!!!!!

Answers

Answer:

Option C. Rational numbers can be written as a fraction where denominator is not zero.

Answer:

B

Step-by-step explanation:

Hope this helps D:

write the equation (3,5) in standard form

Answers

Answer:

We can write out 3! (three factorial) as 3x2x1, and we can write out 5! as 5x4x3x2x1. This means that, since 3x2x1 is on the top and the bottom of the fraction, it cancels out. This leaves us with 1 on top, and 4x5=20 on the bottom.

Step-by-step explanation:

can you please help me with my question

How is the unbiasness of estimators defined? Use correct vocabulary.

Don't answer if you don't know for gods sake you're just wasting my points

Answers

The unbiased estimator

Two angles are shown. K is 7 times as large as L. The angles are complementary. What is the measurement in degrees for K

Answers

Answer:

∠K = 78.75°

Step-by-step explanation:

since complimentary, ∠K + ∠L = 90°

K = 7L

substitute for K:

7L + L = 90

8L = 90

∠L = 11.25°

∠K = 90° - 11.25° = 78.75°

Math
2 miles is the equivalent to how many feet?

Answers

Answer:

10,560

Step-by-step explanation:

Super easy

Brainliest please :)

10560, hope this helps

pls help no wrong answers pls

Answers

Answer:

a, b, e

Step-by-step explanation:

It is proportional since it goes at the same rate on the x and y

It has a rate of 8.5 since 17/2=8.5

at the rate of 8.5 y per one x then 4 8.5's would make 34

To make the graph put a dot at
(1, 8.5)
Because...
Y=8.5(1)
Y=8.5
And another one at....
(-1, -8.5)
Because....
Y=8.5(-1)
Y=-8.5
And the mutely choice answers is...
A)
It’s true since it goes though the origin
B)
Unit rate if change is slope and it is
B is true
C)
In b, we identified the slope so this can’t be true
D)

It states x=17 and y=2
So...
Y=8.5(17
Y.>2
D is not true
E)
It states x=4 and y=34
So...
Y=8.5(4)
Y=34 which is true
e is true

50 points and Ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)

2 pages with work

Answers

Answer:

1) (x + 12)²+(y+6)²= 28

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√28

h=-12

k=-6

;.centre=(-12,-6)

radius =√28 units

2) x²+(y+7)²=15

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√15

h=0

k=-7

;.centre=(0,-7)

radius=√15 units

3) (x + 4)²+(y - 1)² = 4

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√4=2units

h=-4

k=1

;.centre=(-4,1)

radius=√2units

4) (x+3)²+(y-1)²= 8

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√8=2√2units

h=-3

k=1

;.centre=(-3,1)

radius=2√2units

For Math
Name One MLE Choppa Song
One YNW Melly Song
And One Lil Tjay Song If I Know
All Three Songs Winner GetsCrown

Answers

Answer:

Nle Choppa: Camelot

YNW Melly: Murder On My Mind

Lil Tjay: Move On

:)

1. Shotta flow
2. Mixed personalities
3. Leaked

Please help!
(2/5x +5) - (1/5x - 3)

Answers

Answer:

2x over 5 + 8 + -x over 5

Step-by-step explanation:

I dont know if this is what youre looking for but hope it helps!

Answer:

1/5x + 8

Step-by-step explanation:

Let's simplify step-by-step.

2/5x + 5 − (1/5x − 3)

Distribute the Negative Sign:

= 2/5x + 5 + −1( 1/5x −3)

= 2/5x + 5 + −1 (1/5x) + (−1) (−3)

= 2/5x + 5 + −1/5x + 3

Combine Like Terms:

= 2/5x + 5 + −1/5x + 3 = (2/5x + −1/5x) + (5 + 3)

= 1/5x + 8

Answer:

= 1/5x + 8

hope this helps. p.s. i really need brainliest :)

Name the diameter for the circle

Answers

Answer:

DH

Step-by-step explanation:

Whats 6x-5+2x=3x-2x+9?

Answers

Answer:

X=2

Step-by-step explanation:

first combine like terms

subtract the x

add 5

lastly divide by 7

Arrange the numbers in ascending order 2121,3625,8750,6540​

Answers

2121, 3625,6540 and 8750 is the answer.

hope it helps

the product of two consecutive integers is 120. write an equation to find the integers.​

Answers

Answer:

The consecutive even integers are

n

n + 2

n(n + 2) = 120

n2 + 2n - 120 = 0

(n + 12)(n - 10) = 0

n = -12 or 10

Step-by-step explanation:

There are 2 solutions:

n = -12

n + 2 = -10

and

n = 10

n + 2 = 12

I NEED HELP ASAP!! GIVING BRIANLIST

Answers

Answer:

120 degrees

Step-by-step explanation:

what's the surface area ratio & the volume ratio??

please help me ASAP!!

Answers

Answer:

Step-by-step explanation:

Volumes of two spheres A and B = 648 cm³ and 1029 cm³

Things to remember:

1). Scale factor of two objects = [tex]\frac{r_1}{r_2}[/tex] [[tex]r_1[/tex] and [tex]r_2[/tex] are the radii of two circles]

2). Area scale factor = [tex]\frac{(r_1)^2}{(r_2)^2}[/tex]

3). Volume scale factor = [tex]\frac{(r_1)^3}{(r_2)^3}[/tex]

Volume scale factor Or Volume ratio = [tex]\frac{V_A}{V_B}[/tex]

                         [tex]\frac{(r_1)^3}{(r_2)^3}= \frac{648}{1029}[/tex]

                         [tex]\frac{r_1}{r_2}=\sqrt[3]{\frac{648}{1029} }[/tex]

                         [tex]\frac{r_1}{r_2}=\frac{6(\sqrt[3]{3})}{7(\sqrt[3]{3})}[/tex]

                        [tex]\frac{r_1}{r_2}=\frac{6}{7}[/tex]

Therefore, scale factor = [tex]\frac{r_1}{r_2}=\frac{6}{7}[/tex]

                                      ≈ 6 : 7

Area scale factor Or area ratio = [tex](\frac{r_1}{r_2})^2=(\frac{6}{7})^2[/tex]

                                                   = [tex]\frac{36}{49}[/tex]

                                                   ≈ 36 : 49

Volume scale factor or Volume ratio = [tex]\frac{648}{1029}[/tex]

                                                             = [tex]\frac{216}{343}[/tex]

                                                             ≈ 216 : 343


given f(x) = 5x4- 3x2+ 6x+2. Find f(-2)

Answers

Hey you can use a calculator that gives u answers it’s called Math -Way

Veronica bought a pack of 50 CDs. She gave 8 to her friend, Leslie. Then she made 6 equal sets of CDs. How many CDs are in each set?

Answers

Answer:

8 CDs

Step-by-step explanation:

Veronica started with 50 CDs

After giving 8 CDs to Leslie, Veronica now has 42 CDs

Now Veronica made 6 equal sets

Hence, 42/6 = 8

So there are 8 CDs in each set.

reflect the figure over the line y=x+2

Answers

I’ve attached my answer...
Hope it helps!
The answer is the black figure

I need help with this problem

Answers

Answer:

A

Step-by-step explanation:

Answer:

A) (4,8) is the correct answer.

Step-by-step explanation:

Step: Solvey=2xfor y:

y=2x

Step: Substitute2xforyiny=x+4:

y=x+4

2x=x+4

2x+−x=x+4+−x(Add -x to both sides)

x=4

Step: Substitute4forxiny=2x:

y=2x

y=(2)(4)

y=8(Simplify both sides of the equation)

Hope this helps!

helppppppppppppppp plsssssssssssssssss

Answers

Lol the answer is 41

Answer: 41, think of PEMDAS while reviewing. Good luck!

Step-by-step explanation:

80 + 6(-5) + (-9)

80 + (-30) + (-9)

80 + (-39)

= 41

Find the area and circumference of the circle from the problem to the left. h 14 in Area= Circumferencer​

Answers

Answer:

r is 14÷2=7in

r is 7

area of circle is pie R square

22÷7×7×7

154 in

since area = circumference

154=154

hope it helps

An art teacher makes a batch of paint by mixing cup paint with cup paint. If she mixes ​batches, how many cups of paint will she​ have? The teacher will make nothing cups of paint.

Answers

Answer: 19 ¹/₂ cups of purple paint

Step-by-step explanation:

First find out the quantity of purple pain that she has:

= 3/4 + 3/4

= 6/4 cups of paint.

If she mixes 13 batches, the cups of purple paint she will have will be the original number multiplied by 13

= 6/4 * 13

= 78/4

= 19 ¹/₂ cups of purple paint

Evaluate b2c-1 for b = -4 and c = 2.

-8
4
8
32

Answers

Answer:

-8

the way you meant to write it was -4^2 x 2^-1

Step-by-step explanation:

Answer:

it is 8 but it's not negative 8

I tried negative 8 and it said it was wrong so it must be 8

angelica owns 3 1/4 acres of land . she grows cabbage on 3/4 of the land. on how many acres of land does angelica grow cabbage

Answers

Answer:

2.4375 acres for cabbage

Step-by-step explanation:

Help me with this plz

Answers

Answer:

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

Answer: g=x-2/3

Step-by-step explanation:

When it says make g the subject it means make it on it's own in front of the '=' sign.

To make g the subject, you have to do the inverse to 'undo' the equation.

So, instead of adding 2, you have to take away 2 from x. This would now look like this:

x-2=3g

In algebra, when a number is next to a letter it means times. So instead of multiplying g by 3, you would have to divide x-2 by 3. This would now look like this:

x-2/3=g

Hope this helps :)

9. What is the solution to this equation? 2x + 10 = 28 help​

Answers

Answer: x=9

Step-by-step explanation:

2x+10=28

2x=18

x=9

Answer:

9

Step-by-step explanation:

because 2 times 9 is 18 then plus 10 equals 28

To the nearest​ millimeter, a cell phone is 105 mm long and 66 mm wide. What is the ratio of the width to the​ length?

Answers

Answer:

22/35

Step-by-step explanation:

width/length = 66/105 = 22/35

Answer:

66/105

it says width to the​ length

not length to length

what the distance from c to d

Answers

Answer:

i think that the answer is 7 units

Step-by-step explanation:

let me know if im wrong

Answer:

5

Step-by-step explanation:

it was correct for me

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