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
goldfiish [28.3K]
3 years ago
9

How many cubes with side lengths of

Mathematics
1 answer:
Bad White [126]3 years ago
5 0

question:

How many cubes with side lengths of \dfrac12 \text{ cm} 2 1 ​ cmstart fraction, 1, divided by, 2, end fraction, start text, space, c, m, end text does it take to fill the prism? ​

Step-by-step explanation:

81 cubes are needed to fill the prism

Step-by-step explanation:

Volume of prism = 3 cubic units

Side lengths of cube = 1/3

Therefore the volume of the cube is,

V = a³   (a = side of the cube)

V = 1/3 × 1/3 × 1/3

= ( 1/3 )³  

= 1/27 cubic units

To find the number of cubes needed to fill the prism, we need to divide the volume of cube by volume of the prism.

Number of cubes to fill the prism= Volume of prism / Volume of cube

= 3÷1/27

=3×27/1

= 81

Therefore, 81 cubes are needed to fill the prism

You might be interested in
Sung is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.
Alexus [3.1K]

Answer:

Step-by-step explanation:

Use the equation

89 < 75 + 0.7*M                Subtract 75 from both sides

89 - 75 < 0.7M                  Combine

14 < 0.7 M                          Divide both sides by 0.7

14/0.7 < M

20 < M

If M goes over 20 then the flat rate is cheaper.

8 0
2 years ago
Use the graph of f '(x) below to find the x values of the relative maximum on the graph of f(x):
Lana71 [14]

Answer:

You have relative maximum at x=1.

Step-by-step explanation:

-Note that f' is continuous and smooth everywhere. f therefore exists everywhere on the domain provided in the graph.

f' is greater than 0 when the curve is above the x-axis.

f' greater than 0 means that f is increasing there.

f' is less than 0 when the curve is below the x-axis.

f' is less than 0 means that f is decreasing there.

Since we are looking for relative maximum(s), we are looking for when the graph of f switches from increasing to decreasing. That forms something that looks like this '∩' sort of.

This means we are looking for when f' switches from positive to negative. At that switch point is where we have the relative maximum occurring at.

Looking at the graph the switch points are at x=0, x=1, and x=2.

At x=0, we have f' is less than 0 before x=0 and that f' is greater than 0 after x=0.  That means f is decreasing to increasing here. There would be a relative minimum at x=0.

At x=1, we have f' is greater than 0 before x=1 and that f' is less than 0 after x=1. That means f is increasing to decreasing here. There would be a relative maximum at x=1.

At x=2, we have f' is less than 0 before x=2 and that f' is greater than 0 after x=2. That means f is decreasing to increasing here. There would be a relative minimum at x=2.

Conclusion:

* Relative minimums at x=0 and x=2

* Relative maximums at x=1

3 0
3 years ago
Members of the Granola Gang were popping popcorn over the campfire.
nordsb [41]

Answ

JOSUE

Step-by-step explanation:

1 Y 2 3 4 5 6 7 8 9 10 BOOM ESO ES LA RESPUESTA

8 0
3 years ago
Leanne runs on the treadmill and rides the exercise bike at the gym to stay in shape. She burns 15 calories per minute on the tr
sergiy2304 [10]

Answer: C.

Explanation: i just took it. and got a 100. :)

8 0
2 years ago
A company that makes trail mix uses 1 3/8
leonid [27]
Is it 17.75 cuz what i got
7 0
3 years ago
Other questions:
  • The slope of a given line is -2. What is the slope of a line that is parallel to the given line?
    6·2 answers
  • 31x + y2 - (xy)2<br> if x = 3 and y = -5
    9·2 answers
  • If two sides of a triangle are 5 and 7 inches longer than the third side and the perimeter measures 21, find the length of each
    14·1 answer
  • Whats (0,5), m=1/3 in point-slope form
    14·1 answer
  • a gardener is planting trees and flowers. she has 735 trees to plant and uses this pattern: a tree and then two flowers, then th
    9·2 answers
  • If the ratio of blue eyed students to non-blue eyed students is 7 to 12, about how many students would have have blue eyes out o
    12·1 answer
  • What is an equation of the line that passes through the point (-6,-8) and is parallel to the line x-2y=6?
    13·1 answer
  • In ΔVWX, the measure of ∠X=90°, XW = 24, WV = 25, and VX = 7. What ratio represents the tangent of ∠W?
    6·1 answer
  • Marking brainliest!<br> In your own words, why does erosion mean?
    12·2 answers
  • Can someone help me please?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!