A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of \dfrac13 3 1 ​ start fraction, 1, divided by, 3, end fraction unit. How many \dfrac13 3 1 ​ start fraction, 1, divided by, 3, end fraction unit cubes does it take to fill the prism?

Answers

Answer 1

Answer:

108 cubes

Step-by-step explanation:

A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3 . How many 1/3 unit cubes does it take to fill the prism?

Step 1

We find the volume of the cubes

Side length = 1/3 units

Volume of a cube = Side length ³

Hence,

(1/3 units)³ = 1/27 cubic units

Step 2

A rectangular prism with a volume of 4 cubic units.

The number of 1/3 unit cubes that would fill this rectangular mrism is calculated as:

4 cubic units ÷ 1/27 cubic units

= 4 ÷ 1/27

= 4 × 27/1

= 108 cubes


Related Questions

Martin is making a model of a Native American canoe. He has 5 1/2 feet of wood he uses 2 3/4 feet for the whole and 1 1/4 feet for a paddle how much does he have left

Answers

Answer:

1 1/2 feet

Step-by-step explanation:

Martin is making a model of a Native American canoe. He has 5 1/2 feet of wood he uses 2 3/4 feet for the whole and 1 1/4 feet for a paddle how much does he have left

This is calculated as:

5 1/2 feet - ( 2 3/4 feet + 1 1/4 feet)

Lowest Common Denominator 4

5 1/2 feet - (2 + 1 ( 3 + 1/4)

5 1/2 feet - 3 + 1

5 1/2 feet - 4 feet

= 1 1/2 feet of wood left

1. Find the equation of a line, in Slope Intercept Form, that has a slope of 2 and
passes through the point (-3, 1).

Answers

Answer: y = 4

Step-by-step explanation:

A circle has a radius of 5p6q3 cm. The area of the circle can be found using the formula A = πr2. What is the area of this circle in square centimeters?

Answers

Answer:

25p^12q^6πcm²

Step-by-step explanation:

Given the area of the circle expressed as;

A = πr^2

Given

r = 5p^6q^3 cm

Substitute into the formula

A = π(5p^6q^3

A = π(25p^12q^6)

A = 25p^12q^6πcm²

hence the area of this circle in square centimeters is 25p^12q^6πcm²

The area of the circle whose radius be 5p⁶q³ is 25πp¹²q⁶ square centimeters.

What is a circle?

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A circle has a radius of [tex]\rm 5 \ p^6 \ q^3[/tex] cm.

The area of the circle can be found using the formula

[tex]\rm A = \pi \ r^2[/tex]

Then the area of the circle will be

[tex]\rm A = \pi (5 \ p^6 \ q^3)^2\\\\A = \pi * 5^2 \ (P^6)^2 (q^3)^2\\\\A = 25 \ \pi \ p^{12} \ q^6[/tex]

Thus, the area of the circle is 25πp¹²q⁶ square cm.

More about the circle link is given below.

https://brainly.com/question/11833983

5. Write the slope-intercept form of the equation that passes through the point (-1, 2) and is perpendicular to the line y = 3/2x + 6
O y = 3/2x + 5/2
O y = 3/2x + 4/3
O y = -2/3x + 5/2
O y = -2/3x + 4/3

Answers

Answer:

D.  y = -2/3 x + 4/3

Step-by-step explanation:

When you have a perpendicular line, everything except the y-intercept becomes opposite. So 3/2x + 6 will become -2/3x.

To find the slope, you have to plug the coordinates into the equation so far which is y = -2/3x + b

y = -2/3x + b

2 = -2/3(-1) + b

2 = 2/3 + b

4/3 = b

So the equation is y = -2/3 x + 4/3.

Step by step answer please

Answers

Answer:

Not a right triangle

Step-by-step explanation:

Find AC by doing 22-13=9

Use Pythagorean Theorem to determine if it is a right triangle.

8 squared plus 5 squared=89

Square rt= 9.43

And 9.43 is not equal to 9.

What is the solution for the inequality –2x + 7 ≥ –11?

Answers

Answer: 2

2x-7=11  X=9  set up the up the negative portion of solutions Set up the negative portion of the 2x - 7= - 11   x= -2  and then x = 9,-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

-2x+7≥-11

-2x≥-18

2x≤18

x≤9

Find the value of x.

Answers

Answer:

the answer is 49

Answer:

41 degrees

Step-by-step explanation:

180-90-49 = 41

6.Adah has a box in the shape of a cube. She is trying to determine how to find the volume. So, she asks her friends Luis, Emily, Francesca and Roberto. However, she knows only one can be correct, who is it?A.Luis states that she needs to find the area of each face, and then add them together.B.Emily states that you only need to find the area of one side and then multiply by four (the number of sides around the cube).C.Francesca states that you need to find the area of the bottom and the four sides. Since the cube is open at the top, you don’t need to include that.D.Roberto said that you need to find the area of the base and multiply by the height of the cube.

Answers

Answe I believe the answer would be D

Step-by-step explanation:

Please help I will give brainiest !!!!!?!!!!!!

The exact circumference of a circle is 30. What is the diameter?
60
15
30
45

Answers

Answer:

9.549296

Step-by-step explanation:

30/pi = 9.549296 for diameter

If you could answer all parts to this problem it’ll make my day . please

Answers

Answer: 40x25=1,000 and 64x40=2,560! Does this help

?

Separate the triangles then figure out the formula

HELP TIMED PLZZZ HELP ME PLZZZZ

Answers

The answer is C (200+400) -250

help due really soon​

Answers

Answer:

B.) y - 6 = -8/5(x + 2)

Step-by-step explanation:

Remember in order to find the slope intercept form on 2 points, you need these equations: [tex]\frac{x_2 -x_1}{y_2 -y_1}[/tex] and [tex]y-y_1=m(x-x_1)[/tex]

To find the slope, you will need to use the first equation. In this case the equation will look like this: [tex]\frac{(-2)-6}{3-(-2)}=-\frac{8}{5}[/tex]

Then use the second equation, plug in the numbers, and you will get B as your answer

4 2/5 + k = −3 2/11

What is k?

Answers

Answer:

Step-by-step explanation:

4⅖ = 22/5 = 242/55

-3 2/11 = -35/11 = -175/55

k = -175/55 - 242/55 = -417/55 = -7 32/55




What is 35% of 78?

Answers

27.3 is the answer to the question

Estimate 32.8×21.2 what is it. can you help ​

Answers

your answer will be :695.36

Answer:

695.4

Step-by-step explanation:

Please help- will give brain list

Answers

It, the triangle is gonna be 56

7th grade math , not sure if I set this up correctly!

Answers

Answer:

What you did is correct!

What equation is equivalent to 11 = (15 -6r) + 2r?

Answers

Answer:

11 = (15 -6r) + 2r

11= 15-6r+2r

11=15-4r

4=4r

r=1

Find a and b.........

Answers

Answer:

a is 10

b is 37

Step-by-step explanation:

Now we must agree that the diagram above is a parallelogram.

this figure has its opposite sides parallel to each other, and also equal to each in length, this means a+5=15.

hence a is 10.

and the opposite angles of the parallelogram are equal thus, 111=3b,

hence b is 37°.

I must say I was shocked to see 111 is divisible by 3...

well you can follow me, for questions or further explanations.

Point a has coordinated (-6,1). it is translated 2 units to the right and 5 units down. what are the new coordinates of A'?

Answers

(-4,-4) is the new coordinates of A

The figure shows a parallelogram inside a rectangle outline:

A parallelogram is shown within a rectangle. The length of the rectangle is 3 over 4 foot and the width of the rectangle is 1 over 2 foot. The two equal bases of the triangles outside the parallelogram are labeled 1 over 8 foot.

What is the area of the parallelogram? (1 point)

Select one:

a.
1 over 32 square foot


b.
5 over 16 square foot


c.
9 over 32 square foot


d.
6 over 16 square foot

Answers

Answer:

well this is the answer

Step-by-step explanation:

WILL GIVE BRAINLIEST IF YOU ANSWER MY QUESTION!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D

Step-by-step explanation:

The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviation is 5 millimeters.

Find the probability that the diameter of a selected bearing is between 104 and 115 millimeters. Round your answer to four decimal places.


What is the notation?

Answers

Answer:

0.6710

Step-by-step explanation:

The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviation is 5 millimeters.

Find the probability that the diameter of a selected bearing is between 104 and 115 millimeters. Round your answer to four decimal places.

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 107 mm

σ is the population standard deviation = 5 mm

For x = 104 mm

z = 104 - 107/5

z = -0.6

Probability value from Z-Table:

P(x = 104) = 0.27425

For x = 115 mm

z = 115 - 107/5

z = 1.6

Probability value from Z-Table:

P(x = 115) = 0.9452

The probability that the diameter of a selected bearing is between 104 and 115 millimeters is calculated as:

P(x = 115) - P(x = 104)

0.9452 - 0.27425

= 0.67095

Approximately = 0.6710

a spherical snow globe has a diameter of 4 inches. what is the volume, in cubic inches, of the spherical part of the snow globe

Answers

Answer:

The volume of the snow globe is 78 cubic inches.

Step-by-step explanation:

Given:

A snow globe consists of a pedestal in the shape of a cube with a sphere mounted on top of the pedestal. The pedestal has an edge length of 4 inches and the sphere has a diameter of 3 inches.

Now, to get the volume of the snow globe.

So, we get the volume of pedestal which is in the shape of cube by putting formula:

Edge = 4 inches.

Volume of pedestal = 64 cubic inches.

Now, to get the volume of sphere by putting formula:

Diameter = 3 inches.

Radius () =

Volume of sphere = 14.131 cubic inches.

Now, to get the volume of snow globe by adding both the volumes, the volume of sphere and the volume of pedestal:

Rounding to the nearest cubic inch = 78 cubic inches.

Therefore, the volume of the snow globe is 78 cubic inches.

Through is upholstering a rectangular ottoman that measures 21 cm x 18 cm x 15 cm. What will be the total square centimeters of fabric that Sue must use to cover all faces of the Ottoman

Answers

Answer:

Step-by-step explanation:

Through is upholstering a rectangular ottoman that measures 21 cm x 18 cm x 15 cm. What will be the total square centimeters of fabric that Sue must use to cover all faces of the Ottoman

Can someone help me with this question I will mark u brainlist.

Answers

Answer:

First one true, second false, third true

Step-by-step explanation:

378x378x378x378x378x378x378x378x378

Answers

Answer:

378x³⁰²

Step-by-step explanation:

378x378x378x378x378x378x378x378x378

=378*x^378*x^378*x^378*x^378*x^378*x^378*x^378*x^378

=378*x3024

=378x³⁰²

Hope this helps

What's the value of
[tex] = > 12 \times 5 + 45 - 36[/tex]

Answers

Answer:

12×5+45-36=60+9=69 is your answer

Answer:

12×5=60+45=105-36=69

Please solve!!! I will give brainliest!!! Area and equation!!

Answers

Answer:

75 square feet

Step-by-step explanation:

Break this apart and turn it into a rectangle

You can the use 15 times 5 to find your answer

3. Graph the function.
xy + 25 = 0

Answers

Answer:

look at the answer below

Step-by-step explanation:

this is xy + 25 = 0 if you wanted it. hope it helps

Answer:

(Rational Functions Practice)

3. Graph the function. (1 point)

xy+25=0

Step-by-step explanation:

Graph B. is the correct answer

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