a brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches. the brick has a density of 2.7 grams per cubic centimeter. find the mass of the brick to the nearest gram a brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches. the brick has a density of 2.7 grams per cubic centimeter. find the mass of the brick to the nearest gram

Answers

Answer 1

The mass of brick is 2478 gram.

What is a rectangular prism?

A rectangular prism has a total of 6 faces, 12 sides, and eight vertices. Like a cuboid, it has three dimensions- the base width, the height, and the length. The top and base of the rectangular prism are rectangular in shape. The pairs of opposite faces of a rectangular prism are identical or congruent.

A brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches.

The volume of rectangular prism = length×width×height

                                                        = 8×3.5×2

                                                        = 56

Thus volume of brick is 56 cubic inches.

Convert inches to centimeter

1 inch = 2.54 centimeter

Therefore,

56 cubic inches = 56 x 2.54 x 2.54 x 2.54 cubic centimeter

56 cubic inches = 917.676 cubic centimeter

Thus, we get,

volume of a rectangular prism = 917.676 cubic centimeter

The brick has a density of 2.7 grams per cubic centimeter

Density = 2.7 grams

The mass of brick is given by formula = density × volume

[tex]\Rightarrow[/tex]                                                            = 2.7 × 917.676

[tex]\Rightarrow[/tex]                                                            = 2477.72

[tex]\Rightarrow[/tex]                                                            ≅ 2478  

Thus mass of brick is 2478 gram.

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Related Questions

Your teacher asked your class to describe a real world situation in which a y-intercept is 100 and the slope is 5. Your partner gave the following description: My younger brother originally had 100 small building blocks, but he has lost 5 of them every month since. What mistake did your partner make?

Answers

Answer:

He should have said that his small brother had 100 small building bricks, but lost 5 in total now.

I really need someone's help please!

Answers

Answer:

Felipe subtracted 3x from both sides of the equation.

Answer:

-2

Step-by-step explanation:

first, you will subtract the 2x from 3x then take 6 away from - 8 so it would be 8 and subtract it from 6  because of where the = is and get your answer

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio. A(−9, −1), B(11, 9); 3 to 2

Answers

Answer:

(-2.5, 7.5)

Step-by-step explanation:

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio. A(−9, −1), B(11, 9); 3 to 2

Using the formula for calculating the mid point segment expressed as;

X = ax1+bx2/a+b

Y = ay1+by2/a+b

Given

x1 = -9, y1 = -1, x2 = 11, y2 = 9, a = 3 and b = 2

Substitute

X = 3(-9)+2(11)/2

X = -27+22/2

X = -5/2

X = -2.5

Similarly

Y = 3(-1)+2(9)/2

Y = -3+18/2

Y = 15/2

Y = 7.5

Hence the required coordinate point is (-2.5, 7.5)

simplify (8x^3 + 7x^2 - 3x + 6) + ( -2x^2 - 5x + 4 )

Answers

Answer:

hello! :) have a good day!

8x³ + 5x² − 8x + 10

(8x^3+7^2-3x+6)+(-2x^2-5x+4)

parentheses

8x^3+7^2-3x+6 + -2x^2-5x+4

like terms

8x^3 + (7x ^2 -2x^2) + (-3x -5x) + (6 +4)

simplify

8x^3 + 5 x^2 -8 x+10

Enter the correct answer in the box.
What is the standard form of function f?

[tex]f(x)=4(x+6)^2+5[/tex]

Substitute numerical values into the equation for a, b, and c.

[tex]f(x)=ax^{2} +bx+c[/tex]

Answers

Answer:

f(x) = 4x² + 48x + 149

Step-by-step explanation:

Given

f(x) = 4(x + 6)² + 5 ← expand the factor using FOIL

     = 4(x² + 12x + 36) + 5 ← distribute parenthesis by 4

     = 4x² + 48x + 144 + 5 ← collect like terms

     = 4x² + 48x + 149 ← in standard form

Answer:

Have a great rest of your day ;)

Step-by-step explanation:

2 A town park has two biking trails. Marsh Trail is 5 miles long. Woodland Trail is
2 miles long. How much longer is Marsh Trail than Woodland Trail?
Show your work.
How do I show my work and what is the answer

Answers

Answer:

25/10

Step-by-step explanation:

Make the fractions improper by multiplying the whole number by the denominator and then adding the numerator (if this makes sense).

This makes 5x10=50+3=53/10

Do the same for the second fraction. 2x5=10+4=14/5

Then make the denominators the same, and in this case all you need to do is multiply both sides of 14/5 by 2, so that makes 28/10.

Now, just take it away.

53/10-28/10=25/10, which can be then simplified into 2 1/2 or 5/2.

The formula V = s3 gives the volume V of a cube with side length s. The volume of a cube that has a side length of 7 inches

Answers

The volume of a cube with a side length of 7 inches is 343 cubic inches.

To find the volume of a cube with a side length of 7 inches, we can use the formula [tex]V = s^3[/tex], where V represents the volume and s represents the side length.

Substituting the given side length into the formula, we have:

[tex]V = 7^3[/tex]

To simplify the expression, we raise 7 to the power of 3, which means multiplying 7 by itself three times:

V = 7 * 7 * 7

V = 343 cubic inches

Therefore, the volume of a cube with a side length of 7 inches is 343 cubic inches.

The complete question is

The formula V = s3 gives the volume V of a cube with side length s. The volume of a cube that has a side length of 7 inches is equal to ____.

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How many liters of 70% acid solution must be mixed with a 15% acid solution to get 550L of a 60% acid solution

Answers

9514 1404 393

Answer:

  450 L

Step-by-step explanation:

Let x represent the number of liters of 70% solution needed. Then the amount of 15% solution needed is (550-x), and the total amount of acid in the mixture is ...

  0.70x + 0.15(550-x) = 0.60(550)

  0.55x + 82.5 = 330 . . . . simplify

  0.55x = 247.5 . . . . . . . . . subtract 82.5

  x = 450 . . . . . . . . . . . divide by 0.55

450 liters of 70% acid solution must be used.

what is m



A.
B.
C.
D.

Answers

Answer: .B.

Step-by-step explanation

(sat prep) find the value of x

Answers

Answer:

120 degrees

Step-by-step explanation:

RSM boi

but you actually have to get the values of the angles on the other side so

180-70=110

180-50=130

pretty simple from there

Answer:

120 deegress

Step-by-step explanation:

x + y = z

70 + 50 = x

x = 50+70 = 120

In an arithmetic sequence, a17 = -40 anda28 = -73. Explain how to use this information to write a recursive formula for this sequence.

Answers

Answer:

–73 – (–40) = –33.

Step-by-step explanation:

7.1 added to a number equals 10.3?​

Answers

The answer is 3.2. If you subtract 10.3 and 7.1, then you get 3.2.

Omar rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 74 cents for each mile driven. Omar had to pay
$166.95 when he returned the truck. For how many miles did he drive the truck?

Answers

[tex]15.99 + 0.74(m)[/tex]

[tex]15.99 + 0.74(m) = 166.95[/tex]

[tex]15.99 - 15.99 + 0.74(m) = 166.95 - 15.99[/tex]

[tex]0.74m = 150.96[/tex]

[tex] \frac{0.74m}{0.74} = \frac{150.96}{0.74} [/tex]

[tex]m = 204[/tex]

He drove 204 miles.

Half of Ethan string is equal to 2/3 of Kayla stream the total length of the string is 10 feet how much longer is Ethan string Kayla string

Answers

Answer:

10/7 feet

Step-by-step explanation:

Let e = Ethan

k = Kayla

The following equations can de derived from the equation :

1/2 e = 2/3k

multiply both sides of the equation by 2

e = 4/3k --- 1

e + k = 10 --- 2

Substitute for e in equation 2

4/3k + k = 10

7/3k = 10

multiply both sides of the equation by 3/7

k = 30/7

Substitute for k in equation 1

e = (4/3) x 30/7 = 40/7

difference in length = 40/7 - 30/7 = 10/7

PLEASE PLEASE HELP HELP PLEASE

Answers

Answer:

1. product 2. difference 3. quotient 4. sum 5. dividend

how many times can 1/4 go into 6​

Answers

Answer:

24 times

Step-by-step explanation:

Answer:24

Step-by-step explanation:

I need a lot of help please ):
And if u don’t know the answers do not comment anything because i'm really looking for help!

Answers

Answer:

The answer are

CX=10/3

ML=76

Step-by-step explanation:

NUMBER 4

We know that the averages are divided 1 to 2 by the base

[tex]then \: \\ xc = \frac{1}{3} xf \\ = \frac{1}{3} \times 1 0 = \frac{10}{3} [/tex]

NUMBER 5

[tex]ml = \frac{2}{3} mr \\ then \\ 10x - 4 = \frac{2}{3} (12x + 18) \\ 30x - 12 = 24x + 36 \\ 6x = 48 \\ x = 8 \\ then \\ ml = 10 \times 8 - 4 = 76[/tex]

graph x<2/9 on a number line

Answers

Answer:

The line should begin on the right side 2 dashes (the small lines tht go throught the number line. There are 9 dashes between each whole  number.)

Then the line should go left because it says x is less than 2/9. (which is right)

The line segment you should choose is the one with the open circle with an arrow going to the left.

<---O (looks like this lol.)

The following data show the scores Gina obtained on 12 IQ tests:
93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86
The box plot below represents these data:
74
76
78
80
82
84
86
88
90
92
94
96
98
Which of the following is shown incorrectly in the box plot? (5 points)
Оа
Median
Ob
Lower quartile
ос
Upper quartile
Od
Maximum value

Answers

Answer:

Median

Step-by-step explanation:

74,83,87,90,92,93,94

Add them together then divide by how many are there to get the median. Then check the data.

~!¡! Attributes !¡!~
~I'm new to this~

Answers

I believe the answer is A because it has 8 faces and 6 vertices. So answer is A

Please please help I will give brainliest

Answers

Answer:

67

4*4*4=64

64+3=

67

THE ANSWER IS 67!!!!!!

Could someone please tell me what this means? Like is it a/6 - 1/6?

Answers

Answer:

Yes, this is similar to [tex]\frac{a}{6} - \frac{1}{6}[/tex]

Answer:

yes

Step-by-step explanation:

Given

[tex]\frac{a-1}{6}[/tex]

Then each term on the numerator is divided by 6, that is

= [tex]\frac{a}{6}[/tex] - [tex]\frac{1}{6}[/tex]

The relationship between the postage rate and the weight of a letter can be defined by a piecewise function. The graph shows the 2018 postage rates for using regular service to mail a letter. Kiran and Mai wrote some rules to represent the postage function, but each of them made some errors

Answers

Kiran equation is incorrect because there are two rates when the weight is 1,2, and 3 ounces, also, the first symbol is incorrect; on the other hand, Mai is incorrect because the prices for 1, 2, and 3 ounces are not correctly expressed.

What is a function?

A function is an expression that shows how two factors, in this case, rate and weight are related. These functions are usually created based on specific data and they should relate the data correctly.

What was Kiran's mistake?

1. There are two rates for 1, 2, and 3 ounces: The use of symbols Kiran used to explain the rate for 1, 2, and 3 ounces is incorrect. Let's examine an example:

0.71  1  ≤  w ≤ 20.92  2  ≤ w  ≤ 3

It seems the rate for 2 pounds can be both 0.71 and 0.92 because in the first line if the weight is less or equal to 2, the rate is 0,71 and this also happens in the second line.

2. The first symbol he used is incorrect because it seems like there is a charge even if the weight is 0, which is impossible.

0.50 0  ≤ w  ≤ 1 (The rate if the weight is less or equal to 0 is 0.50)

What is Mai's mistake?

1. Similarly to Kiran she did not express the rate and the pounds correctly. Let's look at one example:

0.71 1 < w < 2 (if the weight is less than 2 the rate is 0.71, which is incorrect because the rate is 0.71 if the weight is less or equal to 2)

Note: This question is incomplete; here is the missing section:

Identify the error in each person's work:

Learn more about rates in: https://brainly.com/question/25565101

The surface area of a rectangular prism is increased by a factor of 16.
By what factor is the volume of the figure increased?
O4
O 8
O 32
O 64

Answers

Answer:

C. 32

Explanation:

The square-cube law states that "When an object undergoes a proportional increase in size, its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier." This means that if the surface area of the cube is increased by a certain amount, the volume of the cube will increase by the cube of that.

Please give Brainliest

Works Cited:

https://en.wikipedia.org/wiki/Square%E2%80%93cube_law#:~:text=The%20square%E2%80%93cube%20law%20can,the%20cube%20of%20the%20multiplier.

The solution is, the volume of the figure increased by factor C. 32 , when The surface area of a rectangular prism is increased by a factor of 16.

What is scale factor?

A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.

here, we have,

The square-cube law states that "When an object undergoes a proportional increase in size,

its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier.

" This means that if the surface area of the cube is increased by a certain amount, the volume of the cube will increase by the cube of that.

Hence, The solution is, the volume of the figure increased by factor C. 32 , when The surface area of a rectangular prism is increased by a factor of 16.

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Katrina drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she
drinks in a week?
There are 16 cups in a gallon.

Answers

Answer:

Katie drinks 56 cups (3.5 gallons) of water in one week.

Step-by-step explanation:

16 - 0.5 (1/2) = 0.5 (1/2)

16 - 1/2 = 8

8 x 7 days (1 week)

= 56 cups

Katie drinks 56 cups (3.5 gallons) of water in one week.

What is the change in temperature from -8°F to 14°F?
-6°F
6°F
0
-22°F
22°F

Answers

-17 +17
Shsjxjxnxxjxjxjxjxjxjxjxjxjxjxjxjxjxjxjxjxjxj

New York City is approximately 205 miles from Washington, D.C. How far apart will these cities appear on a map with the scale 1 in: 50 miles?

Answers

Answer: 4.1 inches

Step-by-step explanation:

From the question, we are informed that New York City is approximately 205 miles from Washington, D.C.

The distance that these cities will appear on a map with the scale 1 in: 50 miles will be represented by x.

Therefore, x:205 = 1:50

Cross multiply

x/205 = 1/50

50x = 205

x = 205/50

x = 4.1 inches

The answer is 4.1 inches

Which expression has a value closest to 1? (Use 3.14 as the value of 1.)
A.
77
V10
B. 75-V74
O C.
V37-V26
3V5 – V20
D.

Answers

Answer:

C: √37 - √26

Step-by-step explanation:

√37 = 6.083

√26 = 5.1

6.083 - 5.1 = 0.983

Answer:

C

Step-by-step explanation:

Paki answer po fi d the value of k mentally​

Answers

Answer:

We have 5 equations where we want to find the value of k. To find the value of k first solve the term that is multiplicating k, and when we know the term, we can divide both sides to isolate k in one side of the equation.

1) 30 = k*(15/4)

To solve this, we can just multiply by (4/15) in both sides, so we get:

30*(4/15) = k*(15/4)*(4/15)

(30/15)*4 = k

2*4 = k

8 = k

2) 360 = k*√36

Here you need to remember that:

6*6 = 36

then √36 = 6

We could just replace that in the equation:

360 = k*6

now let's divide both sides by 6.

360/6 = k*6/6

60 = k

3) 64 = k*(4²)*(2²)

Here we need to remember that:

4² = 16

2² = 4

We can replace these in the equation to get:

64 = k*16*4

and 4*16 = 64

then:

64 = k*64

Now let's divide both sides by 64.

64/64 = k*64/64

1 = k

4) 100 = k*(25)*(4)

Here we know that 4*25 = 100

So replacing that in the equation we get a similar expression to the above one.

100 = k*100

Now let's divide both sides by 100

100/100 = k*100/100

1 = k

5) 6 = k*3

Here just divide both sides by 3.

6/3 = k*3/3

2 = k

011
Question Help
in a race, 16 out of the 25 bicyclists finished in less than 30 minutes. What percent of bicyclists
finished the race in less than 30 minuten Write an equivalent fraction to find the percent

Answers

Answer:

[tex]\frac{16}{25}[/tex] x [tex]\frac{4}{4}[/tex] = [tex]\frac{64}{100}[/tex] = 64%

Step-by-step explanation:

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