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
Ket [755]
4 years ago
7

A rectangular prism with a volume of 333 cubic units is filled with cubes with side lengths of \dfrac14 4 1 ​ start fraction, 1,

divided by, 4, end fraction unit. How many \dfrac14 4 1 ​ start fraction, 1, divided by, 4, end fraction unit cubes does it take to fill the prism?
Mathematics
2 answers:
sergey [27]4 years ago
8 0

Answer:

192 unit cubes.

Step-by-step explanation:

Let n represent number of cubes with each side 1/4 unit.

We have been given that a rectangular prism with a volume of 3 cubic units is filled with cubes with side lengths of 1/4 unit. We are asked to find the number of cubes that will fill that prism.

First of all, we will find volume of each cube.

\text{Volume of cube}=\text{Side length}^3

\text{Volume of cube}=(\frac{1}{4}\text{ unit})^3

\text{Volume of cube}=\frac{1^3}{4^3}\text{ unit}^3

\text{Volume of cube}=\frac{1}{64}\text{ unit}^3

The volume of rectangular prism will be equal to volume of n cubes.

\text{Volume of n cubes}=\text{Volume of rectangular prism}

n\times \frac{1}{64}\text{ Unit}^3=3\text{ Unit}^3

n\times \frac{1}{64}=3

n\times \frac{1}{64}\times 64=3\times 64

n=192

Therefore, it will take 192 unit cubes to fill the prism.

LekaFEV [45]4 years ago
4 0

Answer:

192 cubes

Step-by-step explanation:

You might be interested in
The angle created by ray OX and ray OZ is angle . The two rays that create YOX are ray OX and ray . The center of the circle is
son4ous [18]

The answers

1. XOZ

2. OY

3. O

5 0
3 years ago
Read 2 more answers
Someone please help<br> Me algebra 2
Bumek [7]

Answer:

Table I fill-in: 1.404

Table II fill-in: 1.661 (instead of the 2 that's there)

Step-by-step explanation:

The functions shown in Table I and II are inverses of each other. This means that the x's for Table I are the y's in Table II. And the y's in Table I are the x's in Table II.

So look at Table II, there is a coordinate pair

(7, 1.404). Switch the x and y and you get (1.404,7) That's your answer to fill in on Table I.

5 0
3 years ago
4 + -6g + 10g + -5 anwser
Olegator [25]

Answer:

4g - 1

Step-by-step explanation:

4 and -5 are numbers

While, -6g and 10g are variables.

Add numbers and variable separately.

4 + -6g + 10g + -5

= 4 - 5 + 10g - 6g

= - 1 + 4g

= 4g - 1

4 0
3 years ago
At a bookstore, you buy a calendar for $5 and some books for $3 each. You spend a total of $26. How many
Likurg_2 [28]
You buy 7 books

3b+5=26
*subtract 5 to the 26 side*
3b=21
Now divide 21 by 3
B=7
So there are 7 books bought. ^^
7 0
3 years ago
Please help me find the y-intercept! :(
zvonat [6]
5 inches

Explanation: y = Mx + b, m is your slope (1/2), b is your y-intercept (5 inches)

Equation would be y= (1/2)x + 5
4 0
3 years ago
Other questions:
  • How do I know which one is complementary?
    14·1 answer
  • 7(2b-5) + 3 = 10 ?????
    7·2 answers
  • How far from the base of the house do you need to place a 15 foot ladder so that it exactly reaches the top of a 12 foot tall wa
    12·1 answer
  • Everything is in the picture can you please show your work
    7·1 answer
  • Pentomino’s Pizza offers a medium pizza with a 12 in diameter for $6.00. The large pizza with a 15 in diameter is on sale for $1
    11·1 answer
  • Stuck on this question​
    10·1 answer
  • What is the equation of circle C???
    10·1 answer
  • Greata had a price of cloth that is 9 yards long. She cuts it into prices that are each 1/3 yard long. How many prices of cloth
    12·1 answer
  • Let p(x) be a polynomial with real coefficients such that the product of all six roots of p(x) is negative. Show that if the deg
    5·1 answer
  • HELPPPPPPP??!?!????!!!&gt;!&gt;!!&gt;
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!