1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
elena-s [515]
3 years ago
8

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 b

rick has a density of
2.7 grams per cubic centimeter. Find the mass of the brick to the nearest gram.
grams
Mathematics
1 answer:
givi [52]3 years ago
7 0

The mass of brick is 2478 gram

<em><u>Solution:</u></em>

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

Length = 8 inches

Width = 3.5 inches

Height = 2 inches

<em><u>The volume of rectangular prism is given as:</u></em>

volume = length \times width \times height

volume = 8 \times 3.5 \times 2\\\\volume = 56

Thus volume of brick is 56 cubic inches

<em><u>Convert inches to centimeter</u></em>

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 = 917.676 cubic centimeter

The brick has a density of  2.7 grams per cubic centimeter

Density = 2.7 grams

<em><u>The mass of brick is given by formula:</u></em>

mass = density \times volume

<em><u>Substituting the values we get,</u></em>

mass = 2.7 \times 917.676\\\\mass = 2477.724 \approx 2478

Thus mass of brick is 2478 gram

You might be interested in
If one root is the square root of the other in the equation 8 + mx + 27x^2 = 0, find the value of m​
ICE Princess25 [194]

Answer:

Step-by-step explanation:

6 0
3 years ago
My cupcake recipe makes 12 cupcakes and requires 3/2 sticks of butter. I can only buy whole sticks of butter. How many whole sti
Alex
We find out the ratio 100: 12= 25/3
We need the number of <span>sticks of butter: 25/3 x 3/2= 25/2=12.5
That means you must buy 13 </span><span>sticks of butter
Have fun</span>
3 0
3 years ago
Ten experts rated a newly developed chocolate chip cookie on a scale of 1 to 50. Their ratings were: 34, 35, 41, 28, 26, 29, 32,
miskamm [114]

The mean deviation of the ratings is  4.12

<em><u>Explanation</u></em>

The ratings of the ten experts are:  34, 35, 41, 28, 26, 29, 32, 36, 38 and 40

So, the mean of all ratings =\frac{34+35+41+28+26+29+32+36+38+40}{10}= \frac{339}{10}=33.9

<u>The formula for Mean deviation</u> = \sum \frac{|x_{i}- \mu|}{N} , where x_{i} is the given data from i=1 to i=10 , \mu is the mean of the data and N is the total number of data. So.....

|x_{1}-\mu |= |34-33.9|=0.1\\ |x_{2}-\mu|=|35-33.9|=1.1\\ |x_{3}-\mu |=|41-33.9|=7.1\\ |x_{4}-\mu |=|28-33.9|=5.9\\ |x_{5}-\mu |=|26-33.9|=7.9\\ |x_{6}-\mu |=|29-33.9|=4.9\\|x_{7}-\mu |=|32-33.9|=1.9\\ |x_{8}-\mu |=|36-33.9|=2.1\\ |x_{9}-\mu |=|38-33.9|=4.1\\ |x_{10}-\mu |=|40-33.9|=6.1

So, the Mean deviation =\sum \frac{|x_{i}-\mu |}{N}=\frac{0.1+1.1+7.1+5.9+7.9+4.9+1.9+2.1+4.1+6.1}{10} = \frac{41.2}{10}=4.12

4 0
3 years ago
Find the slope of the line through the given points (1,6),(-8,-9)
cestrela7 [59]
The answer to the question

6 0
3 years ago
Please help with answers A and B :)
Over [174]
A. Terms
b. 9
64 to 49 is -15, 49 to 36 is -13, 36 to 25 is -11, 25 to 16 is -9, so the next number is 16-7=9
5 0
3 years ago
Other questions:
  • It takes 3/4 yards of ribbon to make a bow how many bows can be made with 7 yards
    5·2 answers
  • a baseball player reaches first base 30% of the times he is at bat. Out of 50 times he is at bat , about how many times will the
    12·1 answer
  • Planes X and Y are perpendicular. Points A, E, F, and G are points only in plane X. Points R and S are points in both planes X a
    9·2 answers
  • Solve 3 (x+4) = 3 help solve this equation
    7·1 answer
  • How long will it take bernando to make the trip if he drives at 80 miles per hour?
    5·1 answer
  • Complete the following problems:
    15·1 answer
  • dnw snow storm Francisco had 17 inches of snow on his lawn.the temperature then increased in the snow begin to melt at a consist
    10·1 answer
  • Solve for x.<br>this is for the k12 test.​
    6·2 answers
  • An angle measures 2.2° less than the measure of its complementary angle. What is the measure of each angle?
    8·1 answer
  • Find the slope of the line.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!