At a certain store volleyballs with a radius of 4 inches are sold in boxes in the shape of a cube. What is the volume of the smallest box that can hold a

Answers

Answer 1

Answer:

512 cube inches

Step-by-step explanation:

The radius of volleyballs is 4 inches, thus;

diameter of the balls = 2 x radius

                                   = 2 x 4

                                   = 8

The diameter of each ball is 8 inches.

Since the box has the shape of a cube, the smallest box that can hold a volleyball would have its dimensions equal to the diameter of the balls.

So that for the cube,

length = width = height = 8 inches

volume of a cube = [tex]l^{3}[/tex]

volume of the smallest box = [tex]8^{3}[/tex]

                           = 512 cube inches

The volume of the smallest box that can hold a volleyball is 512 cube inches.


Related Questions

I need help plz help thy.
First answer get brainiest

Answers

Hello!

[tex]\large\boxed{2x - 8 = 7 - 3x \text{ and } 4(x - 1) = x + 5}[/tex]

We can go through each equation to solve:

1.

x + 3 = 4(x - 1) + 2

Distribute the coefficient outside of the parenthesis:

x + 3 = 4(x) + 4(-1) + 2

Simplify:

x + 3 = 4x - 4 + 2

x + 3 = 4x - 2

Subtract x from both sides:

3 = 3x - 2

Add 2 to both sides:

5 = 3x

Divide both sides by 3:

5/3 = x. This is not the answer.

2.

2x - 8 = 7 - 3x

Add 3x to both sides:

5x - 8 = 7

Add 8 to both sides:

5x = 15

Divide both sides by 5:

5x/5 = 15/5

x = 3. This is an answer.

3.

3(x + 2) = 14 - x

Distribute:

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

3x + 6 = 14 - x

Add x to both sides:

4x + 6 = 14

Subtract 6 from both sides:

4x = 8

Divide both sides by 4:

4x/4 = 8/4

x = 2. This is not an answer.

4.

4(x - 1) = x + 5

Distribute:

4x - 4 = x + 5

Subtract x from both sides:

3x - 4 = 5

Add 4 to both sides:

3x = 9

Divide both sides by 3:

3x/3 = 9/3

x = 3. This is an answer.

5.

5 - 2(x + 1) = x

Distribute:

5 - 2x - 2 = x

Simplify:

3 - 2x = x

Add 2x to both sides:

3 = 3x

Divide both sides by 3:

3/3 = 3x/3

x = 1. This is not an answer.

6.

6(x - 4) = 2x

Distribute:

6x - 24 = 2x

Subtract 6x from both sides:

-24 = -4x

Divide both sides by -4:

-24/(-4) = -4x/(-4)

x = 6. This is not an answer.

Answer:

2x - 8 = 7 - 3x

4(x -1) = x + 5

Step-by-step explanation:

2) 2x - 8 = 7 - 3x

   2x + 3x - 8 = 7

       5x -  8 = 7

              5x = 7 + 8

              5x = 15

                 x = 15/5

                x = 3

4) 4(x -1) = x + 5

   4x - 4 = x + 5

4x - 4 - x = 5

     3x - 4 = 5

           3x = 5 + 4

           3x = 9

             x = 9/3

            x = 3

A sand timer has 60 ounces of sand in it. Sand trickled down at a rate of 12 ounces every 6 seconds. How long will it take for all the sand to fall into the bottom? It will take seconds.

Answers

Answer:

30 sec.

Step-by-step explanation:

The diagram shows a triangle

Show working out plz:)

Answers

ANSWER: 30cm^2

Area of a triangle = (1/2)b•h

Given:
b = 12cm
h = 5cm

A = (1/2)12•5
= (1/2)(60)
= 30 cm^2

Answer:

30cm^2

Step-by-step explanation:

Suppose a researcher compiled a data set consisting of the following variables for a sample of 200 women. For each variable, select whether it is discrete or continuous.

Variable Discrete Continuous
The number of college football games ever attended
The number of sons or daughters
The number of countries ever visited
Pounds of chocolate consumed in the past year
Shoe size
Height in inches
The number of pets currently living in the household

Answers

Answer:

Selecting whether each variable is discrete or continuous:

Discrete Variables:

The number of college football games ever attended

The number of sons or daughters

The number of countries ever visited

The number of pets currently living in the household

Continuous variables:

Pounds of chocolate consumed in the past year

Shoe size

Height in inches

Step-by-step explanation:

The researcher can distinguish a discrete variable from a continuous variable by checking if the value of the variable can be counted or measured.  The researcher can count the value of a discrete variable, and she can measure the value of a continuous variable.  In other words, a discrete variable represents countable objects and a continuous variable represents measurable amounts.

Using variable concepts, we have that the discrete variables are:

The number of college football games ever attendedThe number of sons or daughtersThe number of countries ever visitedThe number of pets currently living in the household

The continuous variables are:

Pounds of chocolate consumed in the past year.Shoe size.Height in inches.

What are continuous and discrete variables?Continuous variables: Can assume decimal values.Discrete variables: Assume only countable values, such as 0, 1, 2, 3, ...

The variables that are countable, that is, discrete, are:

The number of college football games ever attendedThe number of sons or daughtersThe number of countries ever visitedThe number of pets currently living in the household

The ones that can assume decimal values, hence being continuous are:

Pounds of chocolate consumed in the past year.Shoe size.Height in inches.

You can learn more about continuous and discrete variables at brainly.com/question/16978770

some PLEASE help I need it done in 18 minutes

Answers

Answer:

area: 9

perimeter: 12

Step-by-step explanation:

Answer:

i gotchu

u=4a (equation for perimiter)

u=12

perimeter is 12

a=a2 (equation for area)

a=9

area is 9

:)

Oscar Montez’s savings account has a principal of $7,201. It earns 6% interest compounded month. What is the amount in the account at the end of the second month?

Answers

Answer:

I= P+ I= 7201x6x2/100 = 84,252/100 = $842.52

Kendrick dude. Ehebdhhdbehd. Eurbhdmdiebeb judged did fc

Lin's family has traveled 25 miles which is only 20% of the trip.
How far is the whole trip?
a.
5 miles
c. 100 miles
b.
125 miles
d. 250 miles
Please hurry

Answers

Answer: 125 miles

Step-by-step explanation:

We know that 25 miles is 20% of the trip.

20% is 1/5 of 100, so that means we will multiply the number of miles driven by the denominator of the fraction.

25 × 5 = 125 miles

The answer to the question is 125 miles.



what would w equal?

Answers

B~E, and W is across from B which usually means they’re the same, which would mean the answer is 100°

Answer:

120

Step-by-step explanation:

It's NOT 100.

similar shapes have the same angles

so angle "D" is equal to angle "G"

Which statement is true. All rhombuses are similar. B all rectangles are similar l. C all isosceles trapezoid are similar. D all isosceles right triangles are similar

Answers

Answer:

I think the answer is "All rhombuses are similar."

Step-by-step explanation:

help I need help pleaseee

Answers

Answer:

The perimeter of a rectangle is the sum of twice the length and twice the width. If the perimeter is at least 48 cm, then the minimum perimeter is 48 cm.

Let width = x

Let length = x + 4

Perimeter = 48

We can set an inequality for perimeter using the variables.

2x + 2(x + 4) ≥ 48

Solve for x.

2x + 2x + 8 ≥ 48

4x + 8 ≥ 48

4x ≥ 40

x ≥ 10

Substitute this value of x into the variable to get your width and length.

width = 10 cm

length = 14 cm

Step-by-step explanation:

hope it helps

Please help! I'll give the brainiest.

Answers

m∠1+m∠2+m∠3=180°

Step-by-step explanation:

Explain why the two figures below are similar?

Answers

Answer:

6ix9ine

Step-by-step explanation:

What two figures ????????

7 x 8 x 3 =_ x 3 = _+_+_+_=

Answers

Answer:

7 x 8 x 3 = 56 x 3 = 56 + 56 +56 = 168

Step-by-step explanation:

how to write 28 divided by 7 as an expression

Answers

Answer:

28/7

Step-by-step explanation:

which statement is true 50.1 9.008 123.466>132.465 3.37<3.368

Answers

Answer:9.07 > 9.008

Step-by-step explanation:

Because I know bic

*HELP I will mark brainliest*
A dog is tied with a rope to a stake in the ground. The length of the rope is 10 yards.
What is the area, in square yards, in which the dog can roam?
1) 1001
2) 100x yd.2
3) 100 yd.2
4) 20ryd.

Answers

Answer:

i think it is number 1

Step-by-step explanation:

A = pi•r^2
A = 100pi yd^2

Choice 2

Hello, can you answer this for me


Steve's moms age is 7 years less than 3 times Steve's age. The sum of their ages is 65 years. Find their ages.

Answers

Answer:

Steve is 18 and and his mother is 47.

Step-by-step explanation:

if you add those numbers you'll get 65

A manufacturing process makes rods that vary slightly in length but follow a normal distribution with mean length 25 cm and standard deviation 2.60. What is the probability of randomly selecting a rod that is shorter than 22 cm

Answers

Answer:

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22)  = 0.1251

Step-by-step explanation:

Step(i):-

Given mean of the Population = 25cm

Given standard deviation of the Population = 2.60

Let 'x' be the random variable in normal distribution

Given x=22

[tex]Z = \frac{x-mean }{S.D} = \frac{22-25}{2.60} = -1.15[/tex]

Step(ii):-

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22) = P( Z<-1.15)

             = 1-P(Z>1.15)

             =  1-( 0.5+A(1.15)

             =  0.5 - A(1.15)

             = 0.5 - 0.3749

             = 0.1251

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22)  = 0.1251

Find the value of 9x + 4y, when x = 4 and y=-3.​

Answers

Answer:

the answer for this question is 24

Jarad scored 18 points at a basketball game if the final score 60 points what percentage of the final score was jarad

Answers

Answer:

30%

Step-by-step explanation:

PLEASE HELP ME. The dot on this number line represents Kelsies debt. Which statement accurately describes her debt?

Answers

Answer:

Kelsie's debt is less than 20$

Step-by-step explanation:

ELE HOME 19. Which expression is equivalent to (7 x m) + 5? O A7(m + 5) O B7 + 5m O C 5+ (m x 7) O D 5- (7 x m)​

Answers

Answer:

?

Step-by-step explanation:

The red crewmate is dilated with the origin as the center of dilation to create the new red crewmate. Which rule best represents the dilation that has been applied to the red crewmate?

Answers

Answer:

Step-by-step explanation:

Graph the inverse of the function, f (x) = ( x+ 2)^3-4

Show all work in finding the inverse.

Answers

Answer:

The inverse of this function is:

[tex]f(x) = \sqrt[3]{x + 4} - 2[/tex]

Step-by-step explanation:

To find the inverse function, we can simply swap x and f(x) and solve for the latter:

[tex]x = (f(x) + 2)^3 - 4\\x + 4 = (f(x) + 2)^3\\\sqrt[3]{x + 4} = f(x) + 2\\f(x) = \sqrt[3]{x + 4} - 2[/tex]

PLEASE PLEASE HELP PLEASE

Answers

Answer:

x = -3

Step-by-step explanation:

2(4x + 6) = 8x + 12

3(x - 1) = 3x -3

8x + 12 = 3x - 3

5x = -15

x = -3

Answer:

x=-3

Step-by-step explanation:

2(4x+6)=3(x-1)

8x+12=3(x-1)

8x-3x+12= -3

8x-3x=-3-12

5x=-3-12

5x=-15

x=-3

If you eat 6 grapes per minute for 9 minutes, how many grapes will you eat?

Answers

Answer:

54 grapes

Step-by-step explanation:

6*9=54

expression px2. p=3,×=4​

Answers

Answer:

px^2= (3)4= 12^2= 144

Step-by-step explanation:

Which relations are functions?

A

x

y

-2

-4

-2 -6

0

-8

2

-10


B

x

y

0

4

10 5

20

6

10

7

C

x

y

2

-10

1 -20

0

-10

-1

-20

D

x

y

2.5

0

3.5 4

4.5

8

6.5

12

E

x

y

-10

4

-20 5

0

6

-10

7

Answers

Answer:

A. Relation

B. Relation

C. Function

D. Function

E. Relation

Answer plzzzzzzzzzzzzHere's a graph of a linear function. Write the equation that describes that function. Express it in slope-intercept form. Enter the correct answer. ​

Answers

y=4x-3 should be the answer

Plz HELP I NEED THIS ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!

A rugby team had 45 players show up for tryouts last year. This year 60 players came to tryouts. What was the percent increase in the number of players that showed up this year compared to last year?

Answers

Answer:

33%

Step-by-step explanation:

60-45=15

15/45=0.33

0.33x100=33%

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