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
Gennadij [26K]
2 years ago
14

a rectangular block is such that the sides of its base are of the length x cm and 3x cm. The sum of all the lengths of all its e

dges is 20cm. Find the volume.
Mathematics
1 answer:
Xelga [282]2 years ago
5 0

Answer:

15x^2 - 12x^3

Step-by-step explanation:

A rectangular block has 3 parts that play into its volume.  length, width and height.  The question gives us length and width in the form of x and 3x, so height is what's missing.

It gives us a bit more information saying the sum of its edges is 20.  We also have to ask how many lengths, widths and heights are there.  That may be a bit hard to understand, but  is you are looking at a block I could ask how many edges are vertical, just going up and down.  These would be the heights.  There are 4 total, and this goes the same for length and width, so 4*length + 4*width and 4*height = 20.  

Taking that and plugging in x for length and 3x for width (or you could do it the other way around, it doesn't matter, you get:

4*x + 4*3x + 4*height = 20

4x + 12x + 4h = 20

16x + 4h = 20

4h = 20 - 16x

h = 5 - 4x

Now we have h in terms of x, which lets us easily find the volume just knowing x.  To find the volume of a rectangular block you just multiply the length, width and height.

x*3x*(5-4x)

3x^2(5-4x)

15x^2 - 12x^3

Question doesn't give a specific value for x at all so you should be done there.  Any number you plug in for x should get you the right answer

You might be interested in
Which graph shows the line y=35x−3?
elena-s [515]

Answer:

the last picture

Step-by-step explanation:

the one where the line hits the -3 mark on the y-axis

5 0
3 years ago
Read 2 more answers
Rewrite the equation in Ax+By=C form <br><br> use integers for A,B, and C. <br><br> Y+5=2(x+4)
Contact [7]

Answer:

2x4y=2... hope this helps.

8 0
3 years ago
What is the slope of a line whose equation is 4x – 6y = 12?
Black_prince [1.1K]
4x - 6y = 12
6y = 4x - 12
y = 4/6x - 12/6
y = 2/3x -2

Answer : Slope = 2/3
3 0
2 years ago
Read 2 more answers
Please explain how to find the answer for this
FromTheMoon [43]
P(A \textrm{ and } B) = P(A) P(B|A)

P(A \textrm{ and } B) = \dfrac{3}{10} \cdot \dfrac{2}{5} = \dfrac{3}{25}

Second to last choice.


5 0
3 years ago
What is the probability that a data value in a normal distribution is between a
Llana [10]

Answer:

answer b.....plz follow me

7 0
3 years ago
Read 2 more answers
Other questions:
  • The means and mean absolute deviations of the individual times of members of two relay swim teams are shown in the table below.
    10·2 answers
  • What is the value of x in this equation<br> [x+17]=20x
    10·1 answer
  • A number is divided by 6.then 8 is added Mto the quotient. Next3 is subtracted from the sum.the result is 7. What is the number?
    6·1 answer
  • What is an equation of the line that passes through the point (5, 4) and is parallel to
    6·1 answer
  • Help please show all work
    12·2 answers
  • A group of 84 people were given an iq test. Suppose the average iq group was 113. The 36 male had an average iq of 114 find the
    15·1 answer
  • The level of the tide in a harbor changed from 9 1/4 ft to 4 1/2 ft above sea level over a period of 3 1/4 hr
    13·1 answer
  • Write the equation of a line of a line passing through the points (3,1) and (6,3).​
    5·2 answers
  • What system of equations is shown on the graph below?
    15·2 answers
  • Stock valued at $49.50 decreases in value by 12% each year. How much will the stock be worth in 5 years? Round your answer to th
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!