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
kiruha [24]
3 years ago
7

A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4​ unit. How many 1/4 unit cubes

does it take to fill the prism?
Mathematics
2 answers:
Vikentia [17]3 years ago
6 0

He right answer is 128

34kurt3 years ago
4 0

Answer:

128

Step-by-step explanation:

Method A.

The volume of the prism is 2 cubic units.

Each cube has side length of 1/4 unit.

The volume of each cube is (1/4)^3 cubic unit.

The volume of each cube is 1/64 cubic unit.

To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.

(2 cubic units)/(1/64 cubic units) =

= 2/(1/64)

= 2 * 64

= 128

Method B.

Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128

You might be interested in
N is a positive integer.<br> Explain why n(n-1) must be an even number.
svetoff [14.1K]
If N is a positive integer, it must be either even or odd. If N is odd, then N-1 will be even. If N is even, then N-1 will be odd. Either way, when you multiply n and n-1, one of those expressions is going to be an even number, and any number multiplied by an even number is an even number. Hope this helps! :)
4 0
4 years ago
Please give answer ??
krok68 [10]

Answer:

21.5%

Step-by-step explanation:

The area of the 4 circles together = 4×π×12^2

The area of the square = 48^2

then the probability that the point is in one of the circles =

(4×π×12^2)÷48^2

=0.785398163397

Therefore, the probability that the point is not in a circle =

1 - 0.785398163397 = 0.214601836603

converted into percentage : 21.4601836603

rounded = 21.5%

8 0
3 years ago
A mailbox that is 36 inches tall is beside a tree.The length of the mailboxes shadow is 28 inches.The length of the trees shadow
Eduardwww [97]

Answer:

The tree is 126 inches which is 10.5 feet.

Step-by-step explanation:

36x98= 3528

3528=28x

3528/28=126/12=10.5

6 0
3 years ago
2(2x-3) + 3(x + 1) = 5x +2
Lerok [7]
X=5/2 , remove parentheses , collect like terms, move terms , collect like terms and calculate the sum , then divide both sides by 2 , hope this helped broski
5 0
3 years ago
Read 2 more answers
The domain of this function is {-12,-6,3,15}. Y=-2/3x+7
Evgen [1.6K]

Considering the given function, the table is completed as follows:

x|y

-12|15

-6| 11

3|5

15|-3

<h3>Which is the function?</h3>

The function is defined by:

y = -\frac{2}{3}x + 7

Hence, when x = -12:

y = -\frac{2}{3}(-12) + 7 = 15

When x = -6:

y = -\frac{2}{3}(-6) + 7 = 11

When x = 3:

y = -\frac{2}{3}(3) + 7 = 5

When x = 15:

y = -\frac{2}{3}(15) + 7 = -3

More can be learned about functions at brainly.com/question/25537936

#SPJ1

6 0
2 years ago
Other questions:
  • What can go into 10.8 and 36
    15·2 answers
  • Which of the following statements would be the process that is used to describe solving a system of equation with 6 variables?
    5·1 answer
  • 6300 and 530 what is the value of 3?
    12·1 answer
  • Staci has seven more cats then Taylor. Write an expression that Illustrates how many cats staci has use x to represent the numbe
    14·1 answer
  • Mathew knows that he will need to buy a new car in 4 years. The car will cost $15,000 by then. How much should he invest now at
    8·2 answers
  • A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 409 gram setting. It is
    9·1 answer
  • 2x - 8 = 6<br>help please ​
    6·2 answers
  • What is the bill for 10 day rental b = 45.95d + 38.5
    14·2 answers
  • I need help! I will give brainliest, if correct!
    12·2 answers
  • Ayo. Bestie. Had enough yet?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!