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
Mariana [72]
3 years ago
12

Corry collects cube containers. She fills them with water and pours them into a rectangular prism. She was playing with them and

discovered something interesting. She had three cube containers. One cube was 1 inch by 1 inch by 1 inch. A second cube was 2 inches by 2 inches by 2 inches and a third cube was 3 inches by 3 inches by 3 inches.She filled all three with water. Then Corry poured all three cubes into a rectangular prism filling it exactly! The rectangular prism has a square base with a side length (1+2+3 = 6) inches and the height is 1 inch.Corry wonders whether she has found a pattern. Investigate using more cube containers to fill square base prisms with heights of 1 in. Describe any conjectures you discover.
Mathematics
1 answer:
Alinara [238K]3 years ago
3 0

Answer:

  \displaystyle\sum_{i=1}^n{i^3}=\left(\sum_{i=1}^n{i}\right)^2

Step-by-step explanation:

The only sum of three cubes that has a total equal to the square of the sum of their dimensions is the one Corry found.

However, we notice that ...

  1³ +2³ +3³ +4³ = (1 +2 +3 +4)² = 100

If we add the next number in sequence, we get ...

  100 +5³ = 225 = (10 +5)²

  225 +6³ = 441 = (15 +6)²

So, it seems that the sum of the first n cubes is equal to the square of the sum of the first n natural numbers.

You might be interested in
Im not good at math plz help :)
Afina-wow [57]

Answer:

D. 23/27

Step-by-step explanation:

The good news is, they wrote out all the possible options for you.

There are 27 possibilities in all, so that's our denominator.

They want to know which possibilities have a W in there OR an R comes first. So we'll count up the possibilities that start with R. There are 9.

Then, of the remaining 18, 14 include a W somewhere in there.

9 + 14 = 23 out of 27.

We are not counting the Ws in the possibilities that start with R, because of the OR in the sentence.

Please let me know if you have questions about this.

5 0
3 years ago
Three times a number is 201 what is the number?
lana [24]
Your equation is 3n = 201.

You have to isolate n so divide 3 to 201.

201/3 = 67.
4 0
3 years ago
Read 2 more answers
The equation and graph of a polynomial are shown below. The graph reachesits minimum when the value ofx is 4. What is the y valu
olga_2 [115]
The y-value of this minimum is 4 .
6 0
3 years ago
What is 1800 + 1800 + 1800
Veseljchak [2.6K]
The answer for question is 5400
4 0
4 years ago
Read 2 more answers
Question:
aleksklad [387]

Answer:

There are 10 blocks in a row (section). There are  6 rows (sections).

1.

A. If each block has a value of one, what is the value for a section of blocks?

<h2> 10</h2>

There are 10 blocks in a section. 10 * 1 = 10

B. What is the total value of all the blocks, write an equation?

<h2>60</h2>

There are 6 sections. There are 10 blocks in a section. 6 * 10 * 1 = 60

2.

A. If each block has a value of ten, what is the value for a section of blocks?

<h2>  100</h2>

There are 10 blocks in a section. 10 * 10 = 100

B. What is the total value of all the blocks, write an equation?

<h2>600</h2>

There are 6 sections. There are 10 blocks in a section. 60 * 10 * 10 = 600

4 0
3 years ago
Other questions:
  • Order the rational numbers from least to greatest
    10·2 answers
  • In triangle abc, the measure of angle b is 20 more than three times the measure of angle
    6·1 answer
  • Wich figure is a translation of figure 1
    14·1 answer
  • A theatre sells 1986 tickets. 234 more adult tickets are sold than child tickets, and 186 more child tickets are sold than stude
    5·1 answer
  • Please tell me the ans fast ​
    13·2 answers
  • The
    15·1 answer
  • Please help me with this :)<br>If fake answer then will be reported.​
    6·2 answers
  • Hey umm i cant find what is d/12 0.25​
    7·1 answer
  • In the figure, m&lt;1=7x+8, m&lt;2=4x+11, and m&lt;4=12x+7. What is the m&lt;1?
    6·1 answer
  • Suppose that BCD is isosceles with base BC. Suppose also that m B=(2x+47) and m D= (3x+51). Find the degree measure of each angl
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!