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
algol13
3 years ago
15

A right rectangular prism has edges of 2 1/4 in, 1 1/2 in and 1 1/2 in. How many cubes with lengths of 1/4 in would be needed to

fill the prism? What is the volume?
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
5 0

The volume of a rectangular prism is (length) x (width) x (height).

The volume of the big one is  (2.25) x (1.5) x (1.5) = <em>5.0625 cubic inches</em>.

The volume of the little one is  (0.25)x(0.25)x(0.25)= 0.015625 cubic inch

The number of little ones needed to fill the big one is

             (Volume of the big one)  divided by (volume of the little one) .

       5.0625 / 0.015625  =  <em>324 tiny cubies</em>

=================================================

Doing it with fractions instead of decimals:

The volume of a rectangular prism is (length) x (width) x (height).
Dimensions of the big one are:

   2-1/4  =  9/4
   1-1/2  =  3/2
   1-1/2  =  3/2

   Volume = (9/4) x (3/2) x (3/2) =
 
                 (9 x 3 x 3) / (4 x 2 x 2)  =

                           81 / 16  cubic inches.

          As a mixed number:    81/16  =  <em>5-1/16 cubic inches</em>

Volume of the tiny cubie = (1/4) x (1/4) x (1/4) =  1/64 cubic inch.   

The number of little ones needed to fill the big one is

             (Volume of the big one)  divided by (volume of the little one) .

                 (81/16) divided by (1/64)  = 

                     (81/16) times (64/1)  = 

                             5,184/16  =  <em>324 tiny cubies</em>.


You might be interested in
A right cone has a surface area of 440 square inches and a radius of 7 inches. Find its slant height.
EastWind [94]

Answer:

Surface Area of right cone  

               =\pi r(r+\sqrt{h^2 + r^2}

440 = \pi *7*(7+\sqrt{h^2+7^2})\\\\440 = 7\pi (7 + \sqrt{h^2+7^2})\\\\\frac{440}{7\pi } = 7 + \sqrt{h^2+49}\\\\\frac{440}{7\pi } - 7 = \sqrt{h^2+49}\\\\\frac{440-49\pi}{7\pi} =\sqrt{h^2+49}\\\\

\frac{286.062}{21.99} =\sqrt{h^2+49}\\\\13.0087= \sqrt{h^2+49}\\\\(13.0087)^2 = (\sqrt{h^2+49})^2\\\\169.227 = h^2 +49\\\\169.227 - 49 =h^2\\\\120.227 = h^2\\\\h = \sqrt{120.227}  = 10.96in

7 0
2 years ago
I need help please, i’m stuck i don’t get it
Mumz [18]

Answer:

I am not sure but I think it is 3

Step-by-step explanation:

2x+29=5x+20

5x-2x+29=20

3x=-9

1x=3

3 0
3 years ago
What’s the slope<br> Please help
olga nikolaevna [1]

Answer:

it's 8/7

Step-by-step explanation:

if you go up 8 and over 7 you get to your next point. remember its rise over run, y/x

3 0
3 years ago
Read 2 more answers
A type of behavior an organism is born with is a(n) _____ response.
PSYCHO15rus [73]
A type of behavior an organism is born with is an Instinct respone.
8 0
3 years ago
Simplify the expression
Nataliya [291]
Answer:
x^35

Explanation:
5 x 7 = 35
4 0
3 years ago
Read 2 more answers
Other questions:
  • Solve 4^x+2 = 12 for x using the change of base formula log base b of y equals log y over log b.
    5·1 answer
  • Please help ill give brainliest thanks and all 5 stars:((((((
    9·2 answers
  • Help!
    12·1 answer
  • A swimming pool had 2.5 million liters of water in it. Some water evaporated, and then the pool only had 2 million liters of wat
    14·1 answer
  • Which of the following equations represents the inverse of y = e2x - 9?
    5·2 answers
  • Select the correct answer.
    8·2 answers
  • Which two numbers have 50.35 as thier absolute value​
    10·1 answer
  • Kaitlin needs 254 programs for the school play on Thursday. How many boxes of programs will she need, given that each box contai
    14·1 answer
  • An employee worked 36 hours last week. This week, she worked 48 hours. Find the percent increase. Round to the nearest percent.
    9·2 answers
  • The sum of two numbers is 52 and the difference is 12. What are the numbers?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!