The dimensions of a right rectangular prism are shown below.





How many cubes with side lengths of 1 over 6 inch are needed to fill the prism without gaps or overlaps?

The Dimensions Of A Right Rectangular Prism Are Shown Below.How Many Cubes With Side Lengths Of 1 Over

Answers

Answer 1

Answer:

91 cubes

Step-by-step explanation:

Answer 2

518 cubes are needed to fill the right rectangular prism without gaps or overlaps.

What is right rectangular prism?

"It is a prism whose all faces are rectangles."

What is the volume of rectangular prism?

The volume of a rectangular prism with length l, width w and height h is,

V = l × w × h

What is the volume of cube?

The volume of a cube having side length 'a' is given by,

[tex]V=a^3[/tex]

For given example,

The dimensions of a right rectangular prism are:

length : [tex]l=2\frac{1}{6}[/tex]

⇒ [tex]l=2.17[/tex] in.

width: [tex]w=1\frac{1}{6}[/tex]

⇒ [tex]w= 1.17[/tex] in.

height : h = 1 in.

So, the volume of a right rectangular prism would be,

⇒ V = l × w × h

⇒ V = 2.17 × 1.17 × 1

⇒ V = 2.5389 cu. in .

Now, the side lengths of a cube : [tex]a=\frac{1}{6}[/tex]

⇒ [tex]a=0.17[/tex]

So, the volume of a cube would be,

⇒ [tex]V=a^3[/tex]

⇒ V = (0.17)^3

⇒ V = 0.0049

Let, 'n' cubes are needed to fill the right rectangular prism without gaps or overlaps.

volume of a right rectangular prism = n × volume of a cube

⇒ 2.5389 = n × 0.0049

⇒ 2.5389/0.0049 = n

⇒ n = 518.14

⇒ n ≈ 518

Therefore, 518 cubes are needed to fill the right rectangular prism without gaps or overlaps

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Related Questions

Harrison ,Tad and dale ride their bikes to school Harrison rides 3/4 mile,Tad rides 3/8 and dale rides 3/6 mile. Compare and order and distances the boys ride from least the greatest

Answers

Answer:

3/8 , 3/6. 3/4

Tad drove the least miles because the miles ridden is less than both 3/6 and 3/4 miles

Dale rode the second greatest mile because the miles ridden is greater than 3/8 but less than 3/4

Harrison rode the greatest mile because the miles ridden is greater than both 3/6 and 3/8

Step-by-step explanation:

to order the miles ridden , convert the fraction to decimals. to do this, divide the numerator by the denominator

3/4 = 0.75

3/6 = 0.5 miles

3/8 = 0.374

Find the solution of the system of equations.
15x – 4y = -50
3x – 2y = –16

Answers

Answer:

x=-2, y=5. (-2, 5).

Step-by-step explanation:

15x-4y=-50

3x-2y=-16

---------------

15x-4y=-50

-5(3x-2y)=-5(-16)

------------------------

15x-4y=-50

-15x+10y=80

-------------------

6y=30

y=30/6

y=5

3x-2(5)=-16

3x-10=-16

3x=-16+10

3x=-6

x=-6/3

x=-2

Why is a negative times a negative always a positive?

Answers

Answer: A negative times a negative is always positive because the two negative signs are canceled out.

Step-by-step explanation:

If you seek a more in-depth explanation, Khan Academy actually has a video available on this topic!

Dante invests $3,500 and learns 2% in simple interest each year assuming he makes no additional deposits or withdrawals how much will his investment be worth in 5 years

Answers

Answer:

answer in the picture

Step-by-step explanation:

Please help
If you currently make 3200 per month and you are given a raise to 3400 per month, what is the percent change of your salary?

Answers

Answer:

6.25%

Step-by-step explanation:

% change= (chnage/original salary) × 100%

Change = new salary - original salary

Hence = 3400-3200=200

% change= (200/3200)×100%= 6.25%

solve the quadratic equation
8x^2+16x+8=0

Answers

Answer:

8x²+16x+8=0

x²+2x+1=0

D=4-4=0

x0=-2/2=-1

Answer:

        x = -1

Step-by-step explanation:

[tex]8x^2+16x+8=0[/tex]                  {divide both sides by 8}

[tex]x^2+2x+1=0\\\\a=1\,,\quad b=2\,,\quad c=1\\\\x=\dfrac{-2\pm\sqrt{2^2-4\cdot1\cdot1}}{2\cdot1}=\dfrac{-2\pm\sqrt{4-4}}2=\dfrac{-2\pm0}2=-1[/tex]

please please help i have three questions left for this lesson

Answers

9514 1404 393

Answer:

  y = -|x -1| +2

Step-by-step explanation:

The transformation ...

  -f(x -h) +k

reflects function f(x) over the x-axis, translates it 'h' units to the right and 'k' units up.

Your absolute value function is reflected over the x-axis, then translated 1 unit right (h=1) and 2 units up (k=2). Putting these values in the function, we have ...

  y = -abs(x -1) +2

  y = -|x -1| +2

Which fraction is a name for the point that is labeled with the question mark on the number line?
A) 4/8
B) 3/4
C) 1/4
D) 2/4

Answers

Answer:

The awnser is C it is 2/8 simplified to 1/4

Step-by-step explanation:

Which justification can be used to demonstrate the graph is correct?

Answers

The justification (D) shading is to the left because (0, 0) does not satisfy the inequality option (D) is correct.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have inequality:

[tex]\rm x+3.5 < \dfrac{1}{10}(y-2)^2[/tex]

If plug (0, 0)

0 + 3.5 < 4/10

Which is not true.

Thus, the justification (D) shading is to the left because (0, 0) does not satisfy the inequality option (D) is correct.

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El área de un terreno rectangular es de 144 metros cuadrados. Si la base es mayor 7 metros que la altura. ¿Cuáles serían las dimensiones reales? ¿Y su perímetro?

Answers

Altura = 16  

Base = 9

(16 * 9 = 144)

Perímetro = 50

(16*2 + 9*2 = 50)

Can someone please help me to calculate this? I would really appreciate it. (-2)²(-3)³​

Answers

Answer:

-108

Step-by-step explanation:

(-2)²(-3)³​

When a number has an exponent, it means that the number is being multiplied to itself. For example, in (-2)², it means (-2) multiplied by itself twice since the exponent is 2. And for (-3)³​, it means (-3) multiplied by itself 3 times since the exponent is 3.

= (-2)(-2)(-3)(-3)(-3)

Multiply. Remember that two negative numbers multiplied together make a positive number, and a positive and a negative number multiplied together make a negative.

= (4)(-3)(-3)(-3)

= (-12)(-3)(-3)

= (36)(-3)

= -108

Therefore, the answer is -108.

I hope this helps!

help me!!!!!!! asap !!!!!

Answers

Answer:

Yes it is a function.

Step-by-step explanation:

It's a function because each input is paired with only one output.

hope this helps and is right :)

Which equation in standard form has a graph that passes through the point (-3, 2) and has a slope of 4/3 ?

Answers

Answer:

y = 4/3x + 6

Step-by-step explanation:

y = 4/3x + b

2 = 4/3(-3) + b

2 = -4 + b

6 = b

y = 4/3x + 6

Liam plays guitar in a band called Cool. The
band is paid $421.74 for every performance. If
Cool averages 3.5 shows per month, how much
money will the band earn in 3 months?

Answers

Answer: $4,428.27

Step-by-step explanation:

First you have to find out how many shows are in three months. If there is 3.5 shows in one month, multiply this by three to get the amount in 3 months.

3.5 x 3 = 10.5 shows

Now multiply the amount the band makes in one show by the number of shows.

$421.74 x 10.5 shows = $4,428.27 over the course of three months.

Hope this helps!

Find the measure of angle 1

Answers

Answer:28

Step-by-step explanation:

Answer: 28!

Step By Step Explanationm

Trent attaches his A+ test to the refrigerator with a circular magnet. Out of curiosity, he measures the magnet and calculates that it has a diameter of 4 centimeters. What is the magnet's area?

Answers

Answer:

12.6 cm²

Step-by-step explanation:

From the above question, the magnet is circular in shape

The area of a circle is given as:

= πr²

The area of the magnet = π × r²

Diameter = 4cm

r = Diameter/2 = 4cm/2 = 2cm

= π × (2cm)²

= 12.566370614cm²

Approximately = 12.6 cm²

The area of the magnet = 12.6cm²

Frank has devised a formula for his catering business that calculates the number of meatballs he needs to prepare.

Answers

Answer:

The answer is "[tex]m=4(25)+2(5)\\\\[/tex]".

Step-by-step explanation:

Please find the complete question in the attached file.

A party of 20 adults and 5 children needs 90 meatballs. A party with 25 adults and 5 children needs 110 meatballs.[tex]\to m=4(20)+2(5)\\\\\to m=80+10\\\\\to m=90\\\\\text{The final answer is : }\bold{ m=4(20)+2(5)}[/tex]

What angles are congruent to angle 1

Answers

Answer:

<6 and <3 are congruent to <1.

Answer:

angle 7

Step-by-step explanation:

angle 1 + angle 5 =180

and angle 5 = angle 7

angle 1 is congruent to angle 7

it's incorrect

what is the circumference of the circle if r= 3.5 feet? Use 22/7 for pi

Answers

Answer:

circumference of circle=2πr

2×22/7×3.522

hope it helps.

Answer:2.x22/7x3.5
22

Amy had $28 dollar’s to spend on school supplies. After buying 7 pens, she had $20.30 left. How much did each pen cost including tax?

Answers

Answer:

Step-by-step explanation:

If Amy started with 28 dollars and bought 7 pens, then had 20.30 dollars, we can subtract to find the price of all 7 pens.

28-20.30=7.70 dollars

now to find the amount for EACH pen, we divide by 7

7.70/7=1.1

each pen costed Amy 1 dollar and 10 cents with tax

Answer:

$1.10

Step-by-step explanation:

$28-$20.30=$7.70

7.70 divided by 7= 1.10

so each pen must cost $1.10

if the opposite angle of rhombus are (2x)°and (3x-40°) then what is the value of x?

Options :
A. 100°
B.80°
C.160°
D.40°​

Answers

C I don’t know actually

whts 1/4+1/2
will give 30 points and brainlest

Answers

It would be 1/4+2/4=3/4
So your answer is 2/4

Answer:

0.75 is the answer!

Step-by-step explanation:

1/4+1/2=0.75

ASAP, REALLY EASY If x = -3 then what is -x

Answers

Answer:

3

because it says -3

so yeah

atleast i hope Im so bad at math

-3

Please heart this I need to get closer to earning the message in brainly !!

if y varies directly with x and y=60 when x =15 find k and write an equation of direct variation

Answers

Answer:

k=45

equation: y=x+45

Step-by-step explanation:

60=15+k

substract 15 on both sides to get 45=k

A bottle holds exactly 2/3 pint of liquid. How many 2/3-pint bottles can be filled from a 24-pint container

Answers

Answer:

36 number of 2/3-pint bottles can be filled from a 24-pint container

Step-by-step explanation:

Volume of the container is 24 pint

Volume of the bottle is 2/3 pint

Number of 2/3 pint bottles that can be filled from 24 pint container is

[tex]\frac{24}{\frac{2}{3} } \\= 24 * \frac{3}{2} \\= 12 * 3\\= 36[/tex]

36 number of 2/3-pint bottles can be filled from a 24-pint container

Jaylen and six of her younger siblings have ages that are consecutive. When they moved from San Francisco to Chicago, their ages (all seven of them) added up to 91. How old was Jaylen when they moved? Explain your thinking.

Answers

Answer:

Jaylen was 16 years old. She's the oldest.

Step-by-step explanation:

16  Jaylen

15  sibling 1

14  sibling 2

13  sibling 3

12 sibling 4

11  sibling 5

10  sibling 6

____________

91  Total

My thinking was that I started out dividing 91 by 7. That came out 13. So I knew the oldest one had to be older than 13.

HELLLLLLPPPPPPPPPPPPP​

Answers

The answer is C. 3y = 15

6(x+4)+1= What is the answer to this great math problem

Answers

6x + 24 + 1 = 6x + 25

Answer:

x =  -25/6

Step-by-step explanation:

6 (x + 4) + 1 = 0

6x + 24 + 1 = 0

6x + 25 = 0

6x = -25

x = -25/6

A coin is flipped 1000 times in a row. What is the probability that on the 999th flip, the coin will land on tails?

Answers

Answer:

50% chance

Step-by-step explanation:

1/1000 because 999 is 1 less than 1000 meaning it would be 1:1000 or 1/1000

Can someone just plz help me I'm begging plz

Answers

Answer:

x=70°

Step-by-step explanation:

Three triangles can be made out of that shape so total int. angles = 3 x 180°=540°.

so 40 + 110 + 4x + 40 + x = 540°

190+5x=540°

5x=350°

x=350/5=70°

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