How many cubes with side lengths of
1
2
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?

Answers

Answer 1

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


Related Questions

Describe the likehood of the event given its probability .you make a free throw 70 percent of the time


IMPOSSIBLE
LIKLEY
POSSIBLE

Answers

Answer:

possible

Step-by-step explanation:

the question asks what is the likelyhood of making a free throw 70% of the time, whcih is possible beacuase you can make it, you can also miss it. there are several professional basketball players that have that percentage. but it is not likely that someone could just shoot 70 percent. so i would stick with possible

Choose all the conversion factors that relate cups to fluid ounces. 8fl oz1c 8c1fl oz 1fl oz8c 1c8fl oz 4fl oz2c

Answers

Answer:

[tex]1\ c = 8\ fl\ oz[/tex]

[tex]\frac{1}{8}\ c = 1\ fl\ oz[/tex]

[tex]\frac{1}{4}\ c = 2\ fl\ oz[/tex]

Step-by-step explanation:

The options are not properly formatted;

So, I will solve the question using general notations

Required

Conversion factors of cups and fluid ounces

Let

[tex]c = cup[/tex]

[tex]fl\ oz = fluid\ ounces[/tex]

In standard conversion

[tex]1\ c = 8\ fl\ oz[/tex]

Divide both sides by 8

[tex]\frac{1\ c}{8} = \frac{8\ fl\ oz}{8}[/tex]

[tex]\frac{1}{8}\ c = 1\ fl\ oz[/tex]

Multiply both sides by 2

[tex]2 * \frac{1}{8}\ c = 1\ fl\ oz * 2[/tex]

[tex]\frac{1}{4}\ c = 2\ fl\ oz[/tex]

NEED HELP ASAP I WILL GIVE U BRAINLY
(08.03 MC ) The dot plot below shows the hourly rate of some babysitters in a city: Babysitting Rates $1.00 $2.00 $6.00 $7.00 $3.00 $4.00 $5.00 Dollars per hour Which statement best describes the shape of the data? (5 points)

O It is symmetric and has a peak at $7.00.

O It is a cluster from $1.00 to $7.00 and has gaps.

O It is a cluster from $1.00 to $7.00 and has no gaps.

O It is not symmetric and has a peak at $4.00.​

Answers

A because it goes from 1,2,3,4,5,6,7 and it peaked at 7

Solve the equation for x, explain how you found the solution. pls help me

2x + ½= 8

Answers

Move all terms not containing x
to the right side of the equation.

2x=15/2

Divide each term by 2
and simplify.

x=15/4

Exact Form: x=15/4

Decimal Form: x=3.75

Mixed Number Form: x= 3 3/4 good luck:)

trigonometry, pleaseeeee help thank you

Answers

Answer:

3.2

Step-by-step explanation:

Answer: 3.3

Step-by-step explanation: To find x(adjacent)we need to know the length of the opposite ,and to do so we use the dimensions of the larger triangle,let's say A.

So using SOHCAHTOA

Sin=opposite÷hypotenus . Meaning

Opposite =hypotenus×sin

=9×sin31°

=4.635... which is rounded to 4.64.

Finding x

From tan=opposite÷adjacent

adjacent=opposite÷tan

=4.64÷tan55°

=3.2489.... which is rounded to 3.3

In the equation y = 2x + 3, if the change in x is 1, the corresponding change in y will be _____.

Answers

Answer:

search it

Step-by-step explanation:

Does the point (2,-1) lie on the line
y=3-2x?

Answers

Answer:

yes

Step-by-step explanation:

the line passes through that point.

Answer:

yes

Step-by-step explanation:

Here, x=2 and y=-1

If these points lie on the line y= 3-2x,then they must satisfy the equation of the line (also mean they must be equal)

So on solving the equations putting the value of x and y, we get

y=3-2x

or,-1=3-2*2

or,-1=3-4

Therefore, -1=-1

Dominik uses 20 grams of filling for each dumpling he makes. He has 1500 grams of dumpling filling. The grams F of filling remaining is a function of d, the number of dumplings Dominik makes.

Answers

Answer:

75 dumplings

Step-by-step explanation:

1500/20= 75

Answer:

−20d+1500

Step-by-step explanation:

I did it on khan and it worked

Pythagorean Theorem & irrational Numbers Question
Which of the following could not be the lengths of sides of a
right triangle?
Select one:

8, 10, 12

6, 8, 10

9, 12, 15

8, 15, 17

Answers

Answer:

2nd

Step-by-step explanation:

Find the measure of the missing angles.

Answers

Answer:

d=52 e=77 f=51

Step-by-step explanation:

The opposite side of 52 is 52 because they are intersecting 1dk, same thing with 77, and when you have both of those just add all the angles and subtract it from 360

Answer:

d = 52

e = 77

f = 51

Hope this helps!

BRANIEST !!!!!!!! PLEASE HELP!!!!

Answers

Answer:

B. y= x^2 + 1

Step-by-step explanation:

I graphed it

Answer:

.........B..........

Step-by-step explanation:

i think it is because (X+1)^2 means X^2+1

Alonzo went to a baseball game. The game started at 10:50 AM, and it was 3 hours 27 minutes long. When did the game end? PLEASE ANSWER IT I NEED IT

Answers

the answer is 2:17pm

Answer:

The game ends at 2:17 PM.

Step-by-step explanation:

The basketball game started at 10 hours and 50 minutes and the game lasted 3 hours and 27 minutes. We can use addition to find out the time. Simply add the hours and the minutes.

10 hours + 3 hours = 13 hours

50 minutes + 27 minutes = 77 minutes = 1 hour and 17 minutes

⇒ 14 hours and 17 minutes ⇒ 2:17 PM

Find my number, if the product of my number and 3 is 15 more than the sum of my number and 3

Answers

Answer:

9

Step-by-step explanation:

let the number be X

x multiplied by 3 will be equal to 15 + X + 3

3x = 18+X

2x = 18

x = 9

Answer:

9

Step-by-step explanation:

What is the solution to this equation?

Answers

Answer:

C. x = 7

Step-by-step explanation:

(7+6) = 13

2(7) - 1 =

14- 1 = 13

13-13 = 0

the answer correct answer is c

What is the diameter of the circle?

A) 6 inches
B) 24 inches
C) 26 inches
D) 48 inches

Answers

Answer:

24 inches

Step-by-step explanation:

diameter = 2× radius

diameter =2×12

diameter =24 inches

Answer:

24

Step-by-step explanation:

multiply radius by 2 and you will get the diameter

The the radius is also Half diameter

I hope this helped!

If a1 = 7 and an = An-1 – 3 then find the value of a4.

Answers

Answer:

-2

Step-by-step explanation:

If a1 = 7 and an = An-1 – 3

a4 = a3 - 3

Get a2;

a2 = a1 - 3

a2 = 7 - 3

a2 = 4

Get a3;

a3 = a2 - 3

a3 = 4 - 3

a3 = 1

GEt the required a4

a4 = a3 - 3

a4 = 1 - 3

a4  = -2

Hence the value of a4 is -2

How many square feet of outdoor carpet will
we need for this hole?

Answers

Answer:

8

Step-by-step explanation:

What is the area, in square meters, of the figure below?

Answers

Answer:

Their isn't a figure ???

you do not have to exsplain

Answers

Answer:

V=87.92

Step-by-step explanation:

v=bh,V=3.14*2*2*7

ILL BRAINLIEST YOU PLEASE HELP ME HOW DO I DRAW MY TRIANGLE

Answers

Step-by-step explanation:

I attached The photo of answer

-TheUnknownScientist

What are the medians and modes??

Answers

Answer:

The median is 17 and the mode is 19

Step-by-step explanation:

Factor: 0.25x^2 - 0.16y^4

Answers

0.25x^2 - 0.16y^4

Both terms are perfect squares so use the difference of squares formula

A^2 - b^2 = (a+b)(a-b) where a = 5x and b = 4y^2

Answer is 0.01(5x + 4y^2)(5x-4y^2)

Answer:

Solution given:

0.25x^2 - 0.16y^4

[0.5x]²-[0.4y²]²

[Note: Using formula: x²-y²=(x+y)(x-y)]

(0.5x+0.4y²)(0.5x-0.4y²) is a required answer.

if the center of a circle is (-5, -8) and contains the point (16, 68) what is the equation ?

Answers

Answer:

[tex](x+5)^2+(y+8)^2=6217[/tex]

Step-by-step explanation:

Hi there!

Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where the circle is centered at (h,k) and r is the radius

1) Plug the center of the circle into the equation

Center: (-5,-8)

[tex](x-h)^2+(y-k)^2=r^2\\(x-(-5))^2+(y-(-8))^2=r^2\\(x+5)^2+(y+8)^2=r^2[/tex]

2) Determine r²

Plug in the given point (16,68)

[tex](x+5)^2+(y+8)^2=r^2\\(16+5)^2+(68+8)^2=r^2\\(21)^2+(76)^2=r^2\\441+5776=r^2\\6217=r^2[/tex]

Therefore, r² is equal to 6217. Plug this back into [tex](x+5)^2+(y+8)^2=r^2[/tex]:

[tex](x+5)^2+(y+8)^2=6217[/tex]

I hope this helps!

the mean of six numbers is 12 five of the numbers are 11 7 21 14 and 9 calculate the six numbers

Answers

Answer:

sixth number is 10

Step-by-step explanation:

(11 + 7 + 21 + 14 + 9 + x) / 6 = 12

(62 + x) / 6 = 12

cross-multiply to get:

62 + x = 72

x = 10

A grain silo is built from two right circular cones and a right circular cylinder with internal measurements represented by the figure above. Of the following, which is closest to the volume of the grain silo, in cubic feet?

A) 261.8
B) 785.4
C) 916.3
D) 1047.2

Answers

Answer:

Step-by-step explanation: The volume of the grain silo can be found by adding the volumes of all the solids of which it is composed (a cylinder and two cones). The silo is made up of a cylinder (with height 10 feet and base radius 5 feet) and two cones (each with height 5 ft and base radius 5 ft). The formulas given at the beginning of the SAT Math section:

Volume of a Cone:

[tex]V=\frac{1}{3} \pi r^2h[/tex]

Volume of a Cylinder:

[tex]V=\pi r^2h[/tex]

can be used to determine the total volume of the silo. Since the two cones have identical dimensions, the total volume, in cubic feet, of the silo is given by

[tex]V_{silo} =\pi (5^2)(10)+(2)(\frac{1}{3})\pi (5^2)(5)=(\frac{4}{3})(250)\pi[/tex]

which is approximately equal to 1,047.2 cubic feet.

The final answer is D.

please help! it is so confusing

Answers

Answer:

4 maybe I don't understand what or how to do this but W is similar to M. I don't really know.

Step-by-step explanation:

help asap:( will give brainliest though!

Answers

Answer:

∡B = 60°

Step-by-step explanation:

find BC using Pythagorean Theorem:

5² + BC² = 10²

25 + BC² = 100

BC² = 75

BC = [tex]\sqrt{75}[/tex]

BC = [tex]\sqrt{25}[/tex][tex]\sqrt{3}[/tex] which is 5[tex]\sqrt{3}[/tex]

this indicates that ∡B must be 60° because the ratio of sides in a 30-60-90 triangle are 1 : [tex]\sqrt{3}[/tex] : 2

25POINTS

Hal says the volume of the sphere shown below is 36 cm3. Find the correct volume, using 3.14 for π. Round to the nearest hundredth. What was Hal’s likely error? Use the drop-down menus to explain your answer.


1st box options: 39.14, 18, 11.46, and 113.04

2nd box options: Greater or less

3rd box options: Multiply by, add, divide by, and subtract

Answers

Answer:

Its volume for a sphere where radius is 3cm

The real volume is 113.04 cubic meter

Use the algebra tiles to model x – 2.

Then choose the answer that describes the correct tiles.
one blue x tile and two orange + tiles
one orange x tile and two blue – tiles
one blue x tile and two blue – tiles
one orange x tile and two orange + tiles

Answers

Sorry for being late but the answer is B

Answer:

B

Step-by-step explanation: e d g 20 22

Graph the opposite of the ppposite of 2 on the number line. Click on the number line to
Identify the nynber localjon.
-3
-2
-1
0
1
2
3
4

PLEASE HELP

Answers

Opposite of 2 is -2
Sry if wrong
Other Questions
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