Is it possible to construct a cube with 2000 interlocking cubes?

Answers

Answer 1
Answer: It depends. Do all the cubes need to be equally sized? A cube has 6 sides, or faces. 2,000 divided 6 is 333.3. So, yes, it could be possible if some of the cubes are divided into thirds. However, if all the interlocking cubes need to be equally sized, then no, it wouldn't be possible. It all just depends.
Answer 2
Answer:

Final answer:

The total number of smaller cubes used to construct a cube must be a perfect cube number. Since 2000 is not a perfect cube, it's not possible to construct a cube with exactly 2000 smaller interlocking cubes.

Explanation:

In Mathematics, to construct a cube using smaller cubes, the total number of smaller cubes used must be a perfect cube number. A perfect cube is a number that can be expressed as the product of an integer multiplied by itself twice. For example, the first few perfect cubes are 1, 8, 27, 64, and 125 (which are 1x1x1, 2x2x2, 3x3x3, 4x4x4, 5x5x5 respectively). As such, since 2000 is not a perfect cube, it is not possible to construct a perfect cube with exactly 2000 smaller interlocking cubes. It would be possible with 1728 (12x12x12) or 2197 (13x13x13), but not with 2000 cubes.

Learn more about Cube construction here:

brainly.com/question/2762582

#SPJ3


Related Questions

Millie is reading a book that is written in the third-person omniscient point of view. How does this point of view affect her experience as a reader? She may have a better understanding of the text, since she has insight to every character’s thoughts and feelings. She may feel more sympathetic to the narrator who is telling the story. She will have insight into only one character’s thoughts and feelings.
Which of the following thesis statements is strongest?The water cycle is an important part of the weather system.The water cycle begins with evaporation and ends with precipitation.The water cycle begins when water is evaporated into the atmosphere; it condenses and freezes, then falls as precipitation.The water cycle is a process that begins with evaporation, moves into condensation, and ends with precipitation.
Which word best completes this analogy?madrigal : song : : mumps : A. antidote B. disease C. predominance D. sentinel
How is the main story presented in The Time Machine by H. G. Wells?The narrator recounts the story, as told to him by the Time Traveller. The Time Traveller tells his friends the stories told to him by the Eloi. The narrator reads the journal written by the Time Traveller. The Time Traveller's servant recounts his master's story.
Which lines in this excerpt from John Milton's Paradise Lost reflects the theme of humankind's childish innocence before the fall from paradise?So passd they naked on, nor shund the sight Of God or Angel, for they thought no ill: So hand in hand they passd, the lovliest pair That ever since in loves imbraces met,Adam the goodliest man of men since borne His Sons, the fairest of her Daughters EveUnder a tuft of shade that on a green Stood whispering soft, by a fresh Fountain sideThey sat them down, and after no more toil Of their sweet Gardning labour then suffic'dNextReset

There was a blizzard in ____ like we had never experienced before. A - the Andes Mountains
B - Andes mountains
C - The Andes Mountains
D - the andes mountains

Answers

The correct answer is:

A - the Andes Mountains

The article "the" should not be capitalized because it is not the initial word in the sentence. The noun "Andes Mountains" is a proper noun and as a rule should be capitalized.

Definition of a synonym

Answers

Answer:

a word or phrase that means exactly or nearly the same as another word or phrase in the same language, for example shut is a synonym of close.

What is the meaning of the root in covert?A) to stop
B) to quiet
C) to turn
D) to escape

Answers

The correct answer is: Option C. To turn.


The root in the word covert is "vert", which is a latin word meaning "to turn". This word is the root for other terms, such as vertical, invert, revert, and convert. These all refer to the change in position or angle of something.

I.e.: Invert can be defined as the turning of something to its opposite direction, while revert can be defined as the turning of something to its original direction.

To "vert" is to turn something, try using different prefixes like "re-". Revert means to turn to a different path.

??? What Does it Mean to Go "Back to Square One"?

Answers

Going back to square one means to go back to the beginning and see where to go from there. Figure out where you went wrong and try a different way to approach a problem.

Which of the following words is an example of an adverb?a. Silly
b. Lively
c. Actually
d. Oily

Answers

Answer : Option C) Actually

Explanation : "An adverb is a word or phrase which modifies the meaning of an adjective, verb, or other adverb, expressing manner, place, time, or degree for e.g. gently, here, now, very". There are some adverbs, which are like sentence adverbs,that can be also used to modify the whole sentences.

Here amongst the given options; "Actually" is the word that satisfies the condition of being an adverb as it is modifying the other adverb "really."

Rest all options are a form of adjective.

The only word among these that is an adverb is actually. All of the other words (silly, lively, and oily) are adjectives.

Expressionist Drama is aimed at the revelation of characters inner consciousness without reference to a logical sequence of surface actionsa. True
b. False

Answers

It is true that expressionist drama is aimed at the revelation of character's inner consciousness without reference to a logical sequence of surface actions.