1. Find the volume of the rectangular prism.
4 ft
6 ft
8 ft

1. Find The Volume Of The Rectangular Prism.4 Ft6 Ft8 Ft

Answers

Answer 1

Answer:

192[tex]feet^3[/tex]

Step-by-step explanation:

The formula for the area of a rectangle is : [tex]length*width[/tex]

In order to work out the volume you would first need to work out the area. You can do this by multiplying the length of 6 by the height of 4, this gives you 24.

To workout the volume you would need to multiply the area of 24 by the width of 8, this gives you 192.

1) Multiply 6 by 4.

[tex]6*4=24[/tex]

2) Multiply 24 by 8.

[tex]24*8=192 feet^3[/tex]


Related Questions

A hemisphere has a diameter of 48 inches. What is the volume of the
hemisphere? Use 3.14 for and round to the nearest tenth.

Answers

Answer:

9,216π or 28,938.2 meters³

Step-by-step explanation:

Given: diameter 48 inches

Radius 24 inches

Note:

Volume of hemisphere = volume of sphere / 2

Volume of hemisphere = 1/2 • 4/3 • πr³

= 1/2• 4/3×π×24³

= 1/2•18432π

= 9,216π

= 28,938.2 meters³

Zugo delivers muffins for the Pastry-and-Muffin company. Each muffin is packed in its own
little box. An individual muffin box has the shape of a cube, measuring three inches on
each side. Zugo packs the individual muffin boxes into a larger box. The larger box is also
in the shape of a cube, measuring two feet on each side. How many of the individual
muffin boxes can fit into the larger box?

Answers

Answer:

  512

Step-by-step explanation:

You can figure this a couple of ways.

1) Figure the number of muffin boxes that goes into each dimension of the larger box:

  (2 ft)/(3 in) = (24 in)/(3 in) = 8 . . . . muffin boxes in each direction.

Then the total number of muffin boxes that will fit in a larger box is ...

  8×8×8 = 512

512 muffin boxes can fit into the larger box.

__

2) The volume of a muffin box in cubic feet is ...

  ((3 in)/(12 in/ft))^3 = (1/4 ft)^3 = 1/64 ft^3

The volume of a larger box in cubic feet is ...

  (2 ft)^3 = 8 ft^3

Then the number of smaller boxes that will fit in the larger box is ...

  (8 ft^3)/(1/64 ft^3) = 8×64 = 512

512 muffin boxes can fit into the larger box.

Kristen made sails for a model boat. She cut along the diagonal of a rectangular piece of cloth to make two sails, shown.

A) 2 1/3 ft
B) 2 7/12 ft
C) 4 2/3 ft
D) 9 1/3 ft

Answers

Answer:

2 1/3 ft^2

Step-by-step explanation:

Take the area of the rectangle

A = l *w

   4 * 1 1/6

   4 * 7/6

  28/6

Divide this in half since the rectangle is cut in half by using the diagonal

28/6 *1/2

28/12

7/3

Changing to a mixed number

2 1/3

Simplify the following expression (6x2 + 8x - 3) - (3x2 - 6)

Answers

Answer:

3x^2 +8x +3

Step-by-step explanation:

(6x^2 + 8x - 3) - (3x^2 - 6)

Distribute the minus sign

(6x^2 + 8x - 3) - 3x^2 + 6

Combine like terms

3x^2 +8x +3

Calculate (full working out)
5.16 x 2.93 =

Answers

The answer is 15.1188

Alex surveyed his classmates to determine who has been surfing and who has been snowboarding. Let A be the event that a classmate HAS snowboarded and let B be the event that a classmate HAS surfed.
If Alex picked a classmate at random, what is P(B/A) ?

A. 4/21
B. 3/4
C. 4/25
D. 25/28

Answers

Answer:

surburu

Step-by-step explanation:

Answer:

B. [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

I got this question correct. :)

A: SnowboardedB: SurfedP(B|A) = P(A and B) / P(A)

P(Surfed|Snowboarded) = P(Surfed and Snowboarded) / P(Snowboarded)

Amount surfed and snowboarded: 36Total amount snowboarded: 48

P(B|A) = [tex]\frac{36}{48}[/tex] = [tex]\frac{3}{4}[/tex]

Apologies for lack of explanation, but I think this will do it.

what is the median of the following number: 40, 49, 62, 56, 68, 39, 50, 61, 54, 44

Answers

Answer:

52

Step-by-step explanation:

39, 40, 44, 49, 50, 54, 56, 61, 62, 68

39, 40, 44, 49, 50, 54, 56, 61, 62, 68

[tex]\frac{50 + 54}{2}[/tex] = [tex]\frac{104}{2}[/tex] = 52

Answer:

52

Step-by-step explanation:

A basketball has a circumference of 31.4 inches. Using 3.14 as an approximation for pie, what is the basketball's volume to the nearest cubic inch?

Answers

Answer:

0.52 cubic inches

Step-by-step explanation:

Given: circumference of a basketball is 31.4 inches.

[tex]\pi =3.14[/tex]

To find: basketball's volume to the nearest cubic inches

Solution:

circumference of a basketball (sphere) = 6.28(radius)

Also, circumference of a basketball = 31.4 inches.

So, 6.28(radius) = 3.14

radius = [tex]\frac{3.14}{6.28}=\frac{1}{2}[/tex] inch

Volume of the basketball (sphere) = [tex]\frac{4}{3}(\pi )(radius)^3=\frac{4}{3}(3.14)(\frac{1}{2})^3=0.52\,\,cubic\,\,inches[/tex]

Eric created a rectangular patio 1 ft.² paving stones which are sold in batches by a dozen the patio measures 7‘ x 8‘ how many batches of Pavingstone did Eric need

Answers

Answer:

The number of batches of paving stones Eric needs is 5 batches

Step-by-step explanation:

Here we have the size of of one paving stone = 1 ft²

The dimensions, size, of one patio = 7 ft × 8 ft = 56 ft²

Therefore, the number of paving stones Eric needs per patio is given by the relation;

[tex]Number\, of\ paving\ stones \ required =\frac{size\, of \, one\, patio}{size \, of \, one\, paving\, stone} = \frac{56 \, ft^2}{1 ft^2/(paving \, stone)} = 56 \, paving \, stones[/tex]

Since the paving stones are sold in batches of one dozen, we have ;

4 batches = 48 paving stones and 5 batches = 60 paving stones

Therefore, the number of batches of paving stones Eric needs = 5 batches.

The number of cameras produces since May at a plant can be modeled by the function N(m)=50m+600 and the cost per camera can be modeled by C(m)=4m^2-15m+45, where m is the number of months since May. According to this model, what is the total amount of revenue generated by the plant's camera production on September?

Answers

Answer:

39200

Step-by-step explanation:

Revenue = number of cameras * cost

R(m) = N(m) * C(m)

        = (50m+600) * (4m^2-15m+45)

The months since may is June July August September = 4 months

R(4) = (50*4+600) * (4*4^2-15*4+45)

        (200+600) * (64-60+45)

           800*49

                39200

Answer:

39,200

Step-by-step explanation:

September is 4 months after may, so m = 4

No. of cameras:

N(4)=50(4)+600 = 800

Cost per camera:

C(4)=4(4²)-15(4)+45 = 49

Total cost:

N × C

800 × 49

39200

Brenda and Jasmine are selling cookie dough for a school fundraiser. Customers can buy packages of chocolate chip cookie dough and packages of double chocolate cookie dough. Brenda sold 6 packages of chocolate chip cookie dough and 4 packages of double chocolate cookie dough for a total of $86. Jasmine sold 3 packages of chocolate chip cookie dough and 5 packages of double chocolate cookie dough for a total of $85. What is the cost each of one package of chocolate chip cookie dough and one package of double chocolate cookie dough?

Answers

Answer:

one package = $5. / double package= $14

Step-by-step explanation:

Lets say x is a package and y a double package

6x + 4y = $86

2(3x + 5y = $85)

6x + 10y = $170

-6x -4y. -86

6y = $ 84

÷6. ÷6

y= $14

6x +4y = $86

6x + 4($14) = $86

6x + $56 = $86

-56. -56

6x = $30

÷6. ÷6

x = $5

Answer:

chocolate chip = 5

double chocolate chip=14

Step-by-step explanation:

c = chocolate chip

d = double chocolate chip

Brenda

6c+4d = 86

Jasmine

3c+ 5d = 85

Multiply the second equation by -2

-6c -10d = -170

Add this to the first equation

-6c -10d = -170

6c+4d = 86

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

   - 6d = -84

Divide by -6

-6d /-6 = -84/-6

d =14

Now we can find c

3c+ 5d = 85

3c+5*14 = 85

3c +70 = 85

Subtract 70

3c = 85-70

3c = 15

Divide by 3

3c/3 = 15/3

c = 5

A tablet manufacturer tested 125 tablets and found that 2 had broken screens. how many broken screens should the manufacturer expect out of 45000 tablets?

Answers

Answer:

720

Step-by-step explanation:

125tablets, 2 of which had broken screens.

multiply 45000 by 2, then divide 125=720

Answer:

720

Step-by-step explanation:

125 tablets, 2 of which had broken screens.

Multiply the 45,000 by 2, then divide by 125.

So therefore, the answer is 720.

Evaluate the expression 3 x
{10 +1} +5.

Answers

Answer:

38

Step-by-step explanation:

3 x {10 +1} +5.

PEMDAS

Parentheses first

3 x {11} +5.

Then multiply and divide

33+5

38

Answer:

38

Step-by-step explanation:

3 x {10 +1} +5             Following PEMDAS, solve in the parentheses

3 x 11 + 5                   Multiply 3 x 11

33 + 5                       Add

38

Lizzie goes to the Lakeside Mall with friends. She spends $25 and returns home with $45. How much money dd in dollars does Lizzie start with? Write an equation to show the amount of money Lizzie starts with.​

Answers

Answer:

$25+$45=$70

Step-by-step explanation:

The only thing you have to do is add $25 and $45 hope this helps :)

A cylinder and it’s dimensions are diameter 8.4cm and height 10.9cm. Which measurement is closest to the lateral surface area of the cylinder in square centimeters

Answers

Answer:

287.64

Step-by-step explanation:

2πrh is the formula you use for the lateral surface area.

to get radius, we know its half of the diameter so 4.2.

plug them in and you get your answer :)

What is the sum of the geometric series 2+6+18+...+486?

Answers

Answer:

728

Step-by-step explanation:

2+6+18+...+486

a=2

r=6/2=3

[tex]a_{n}=ar^{n-1}\\486=2(3)^{n-1}\\3^{n-1}=486/2=243=3^5\\n-1=5\\n=5+1=6\\S_{6}=2\frac{3^6-1}{3-1} \\=2\frac{729-1}{2}\\=728[/tex]


A chocolate factory made 708.6 pounds of dark chocolate in 6 days. How much dark chocolate, on average, did the factory make per day?
A) 116.76
B) 117.66
C) 118.10
D) 118.43

Answers

Answer: it’s answer C.

Step-by-step explanation: 708.6 ÷ 6 = 118.1(0)

Answer:

c

Step-by-step explanation:

a boys buys 9 apples for Rs 9.60 and sells them at 11 for rs 12 find his gain or loss percent​

Answers

He gains $1.40 when marking up the price after Rs $9.60 but loses a $1 keeping it lower the rs’s $12

helpppppp pros only helppppppp me plzzzzzzzzzzz ill reporte you if you do bad qweshtones

Answers

Answer:

We are looking for 2 numbers that have a product of 72 and a sum of 17. These 2 numbers are 9 and 8. Therefore, the factored version would be (z + 9)(z + 8), or A.

Hope this helps!

please answer my question −4y−4+(−3)

Answers

Answer:

-4y - 7

Step-by-step explanation:

−4y−4+(−3)

Combine like terms

-4y - 7

Answer:

5

Step-by-step explanation:

y= 4+ 4 - 3

Measure of angle r is 22. Find the measure of angle 0

Answers

Is there a picture to this question

Consider this right triangle with the given measures.

A triangle has side lengths 5 inches and 12 inches. The hypotenuse is unknown.

What is the length of the hypotenuse?

1.  52 + 122 =c2

2.  25 + 144 =c2

3.  169=c2


c=

Answers

Answer:

c=13

Step-by-step explanation:

You then square root both sides of the equation and the square root of 169 is 13.

Hope this helps! :)

Answer:

c is 13

Step-by-step explanation:

trust me bro

* Approximate the value of V5 to the nearest hundredth.

Answers

Answer:

2.24

Step-by-step explanation:

If you mean sqrt(5), then the answer is 2.236, which rounds to 2.24

I'm going to assume you mean √5.

√5 is not a perfect square but it can evaluated into a non-terminating decimal.

√5 = 2.23606797...

Round to the nearest hundredth.

2.23606797... → 2.24

Therefore, the answer is 2.24

Best of Luck!

The radius of a cylindrical water tank is 6.5 ft, and its height is 11 ft. What is the volume of the tank? Use the value 3.14 for pie, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.

Answers

Answer:

Step-by-step explanation:Idon't say you have to mark my ans as brainliest but my friend if it has helped you don't forget to thank me...

The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.

What is a cylinder?

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given the data in the question;

Radius r = 6.5ftHeight h = 11ftConstant pi π = 3.14Volume of the cylindrical water tank V = ?

We substitute our values into the expression above.

V = π × r² × h

V = 3.14 × (6.5ft)² × 11ft

V = 3.14 × 42.25ft² × 11ft

V = 1459ft³

The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.

Learn more on volume of cylinder here: brainly.com/question/16788902

You're playing a game where you defend your village from an orc invasion. There are 3 characters (elf, hobbit, or human) and 555 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from.
If you randomly choose your character and tool, what is the probability that you won't be a hobbit or use an umbrella?

Answers

Answer:

There is a 1/3 chance of getting a hobbit, and a 0.1/11 chance of getting an umbrella.

Today, everything at a store is on sale. The store offers a 20% discount.If the regular price of an item is x dollars, what is the discount price in dollars? Type the correct expression in the box below.

Answers

Answer:

0.80x dolllars

Step-by-step explanation:

20% discount of the total amount is

0.20 * x dolllars

So if you start with x dollars you need to subtract the discount to get the new (lower ) price.

x - (0.20 * x) dolllars

1* x - 0.20 * x

x * 1 - 0.20 * x

x * ( 1 - 0.20 )

x * ( 0.80 )

0.80x dolllars

what is the domain and range of this graph? ​

Answers

Answer:

Domain- {-2,2}

Range-{-3,2}

Step-by-step explanation:

Find each boundary of the line and make the corresponding points because its a continuous line.

Can someone please help me? I keep losing points...

CORRECT ANSWERS ONLY PLEASE!!!!

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

$93,996

Step-by-step explanation:

i = prt

i = ($53,712)(.15)(5)

i = $40, 284

$40, 284 + $53,712

$93,996

Answer:

$92996

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 53712 × 15/100 × 5

I = $40284

He has = 40284 + 53712 = $93996

Determine the slope and y-intercept. 4x + y = -10

Answers

Answer:

slope = -4

y-intercept = -10

Step-by-step explanation:

First, isolate the y. Note the equal sign, what you do to one side, you do to the other. Subtract 4x from both sides:

4x + y = -10

4x (-4x) + y = -10 (-4x)

y = -4x - 10

Note the slope intercept form: y = mx + b

y = y

m = slope = -4

x = x

b = y-intercept = -10

Answer:

slope m=-4

y intercepts (0,-10)

Step-by-step explanation:

What is the range of the function y= e^4x

Answers

Answer:

The answer would be {y|y>0}

Step-by-step explanation:

hope this helps

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