How many cubes with side lengths of 1/2 cm can fit inside the rectangular prism

Answers

Answer 1

Answer:

7/2 or 3.5 inches

Step-by-step explanation:

The volume of the rectangle=

length×width×height, so

V=1/2×2×7/2

V=1×7/2

V=7/2 cubic inches

Next, Volume of the cube=

side^3, or side×side×side

V=1/2×1/2×1/2

V=1/8 cubic inches

First question,

To find how many cubes with the side of 1/2 length that fir into the rectangular prism, take:

7/2÷1/8

=7/2×8

=28 cubes. As a result, there are 28 cubes that will fit into the prism

Second question,

The volume of the person is 7/2 cubic inches or 3.5 cubic inches. Hope it help!


Related Questions


[tex] \: \: solve \: \\ \\ (a \: + \: b) {}^{3} = {?} [/tex]

Answers

Step-by-step explanation:

(a+b)³

=a³+3a²b+3ab²+b³

hope it is helpful to you

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex](a + b) {}^{3} \\ = (a + b) \times (a + b) {}^{2} \\ = (a + b)(a {}^{2}  + 2ab + b {}^{2} ) \\ = a(a {}^{2}  + 2ab + b {}^{2} ) + b(a {}^{2}  + 2ab + b {}^{2} ) \\ = a {}^{3}  + 2a {}^{2} b + ab {}^{2}  + ba {}^{2} + 2ab {}^{2}  + b {}^{3} \\ = a {}^{3}  + 3a {}^{2} b + 3ab {}^{2}  + b {}^{3} [/tex]

(a + b)³ = a³ + 3a²b + 3ab² + b³

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Please help as soon as possible​

Answers

Answer:

d, b + b + 3c and 2b + 3c

Step-by-step explanation:

Mezclas de alimentos. Un chef repostero creó una solución de azúcar de 50 onzas constituida por 34% de azúcar con una solución de azúcar al 20% y otra solución al 40%. ¿Qué cantidad utilizó de la solución de azúcar al 20% y de la solución al 40%?

Answers

Answer:

Las cantidades empleadas para su preparación son: 15 onzas de solución al 20 % y 35 onzas de solución al 40 %.

Step-by-step explanation:

Podemos estimar la proporción de ingredientes mediante el siguiente promedio ponderado:

[tex]0.34= \frac{0.2\cdot m_{A} + 0.4\cdot m_{B}}{m_{A}+m_{B}}[/tex] (1)

Donde:

[tex]m_{A}[/tex] - Masa de la solución al 20 %, en onzas.

[tex]m_{B}[/tex] - Masa de la solución al 40 %, en onzas.

Podemos simplificar la formula como sigue:

[tex]0.2\cdot x + 0.4\cdot (1-x) = 0.34[/tex] (2)

Donde [tex]x[/tex] es la proporción de la solución al 20 % dentro de la solución final, sin unidades.

Ahora resolvemos para [tex]x[/tex] en (2):

[tex]0.4-0.2\cdot x = 0.34[/tex]

[tex]0.2\cdot x = 0.06[/tex]

[tex]x = \frac{0.06}{0.2}[/tex]

[tex]x = 0.3[/tex]

Este resultado quiere decir que la solución al 34 % es el resultado de 30 % de la solución al 20 % y 70 % de la solución al 40 %. Si conocemos que la solución final tiene una masa de 50 onzas, entonces las cantidades empleadas para su preparación son: 15 onzas de solución al 20 % y 35 onzas de solución al 40 %.

5) The coordinates of A are (1, 0) and the coordinates of B are (2, 6), what are the coordinates of the midpoint of AB?

Answers

Answer:

The coordinate of the midpoint of AB is (1.5, 3).

Step-by-step explanation:

The midpoint of AB is the point that is the same distance between both points A and B. In order to find the midpoint, add the x and y values of points A and B respectively, and divide the sum by 2 to find the midpoint of AB. [tex]\frac{1+2}{2} = 1.5[/tex], so the x value of the midpoint is 1.5. [tex]\frac{0+6}{2} = 3[/tex], so the y value of the midpoint is 3. You'll get that the coordinate of the midpoint of AB is (1.5, 3).

Find the sum: 50 + 48 + 46 ....+10

Answers

Answer:

630

Step-by-step explanation:

what is the geometric mean of 14 and 6

Answers

Answer:

8

Step-by-step explanation:

The geometric mean of two numbers 14 and 6 is 2√21.

What are arithmetic and geometric mean?

An arithmetic mean can be obtained by taking the sum of all the numbers and dividing it by the number of numbers.

In the case of geometric mean, we multiply the numbers and raise them to the reciprocal of a total number of numbers.

Given, Two numbers 14 and 6.

Now, 14×6 = 84.

Now, we have to take the square root of 84 as we have two numbers.

Therefore, The geometric mean of 14 and 6 is,

= √(84).

= 2√21.

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If 3 meters of a pinya cloth cost P200, how much will 9 meters of the same cloth cost? *

Answers

9 meters cost P600

Step-by-step explanation:

3×3 = 9

p200×3 =P600

Solve the following right triangle. Round your answers to the nearest tenth. B = 28.3°, C = 90°, and c= 62.4 in.

Answers

Answer:

181º isnt a triangle.

Step-by-step explanation:

Identity the slope and y intercept

Answers

Answer:

3,-2

Step-by-step explanation:

From the attached graph we need to find the slope and the y Intercept . The data that can beextracted from the graph is ,

The line passes through (0,3) and (1.5,0) .

Hence the y Intercept here is 3 , since the graph cuts y axis at 3 units above the x axis.

Slope :-

→ m = 3 - 0 / 0 - 1.5

→ m = 3/-1.5

m = -2

Hence the y Intercept is 3 and the slope is (-2) .

HELP IM BEING TIMEDDDDDDDDDDDDDDDDDDDDDDDDD

Answers

Answer:

B

Step-by-step explanation:

Answer:

B. The sign is buried 0.6 of a meter below the ground

Step-by-step explanation:

-1.8  = how far underground the capsule is

+1.2 = how much dirt was added on top of the capsule

-0.6 = where the sign was placed, on top of the 1.2 meters of dirt

Hope this helps! :)

Dylan wants to buy both the tablet and
the camcorder. How much will he pay
if he buys them during the sale?

Answers

Answer:

108$

Step-by-step explanation:

⚠️10 points⚠️
⚠️no links ir i will report ⚠️

Find the distance between the two points rounding to the nearest tenth (if necessary).

Answers

Answer:

8.9

Step-by-step explanation:

The distance between each point is 8.9, hope this helps!

what is the mean of 12,24,24 and 52?

Answers

Answer: 28

Step-by-step explanation: Mean will be the average of all your numbers divided by the amount of numbers you have. So

24+24+12+52=112

Now since you have 4 numbers divide 112 by 4

So your mean is 28

Have a wonderful day!

PLEASE HELP THIS IS THE LAST QUESTION I NEED FOR AN ASSIGNMENT!!
Please show steps!!

An aquarium is being filled with water. The graph shows the height of the water over time as the aquarium is being filled.

Which statement best describes the rate of change for this situation?

a. The height of the water increases 20 inches per second
B. The height of the water increases 1 inch per second
C. The height of the water increases 5 inches per second
D. The height of the water increases 2.5 inches per second

Answers

Answer:

D

Step-by-step explanation:

Divide 5/2 and you'll get 2.5/1 or 2.5

The correct answer is D

Cone A has a diameter of 10 inches and Cone B has a diameter of 50 inches. The cones are similar, and the volume of Cone A is 85 cubic feet. Find the volume of Cone B

Answers

Answer:

85 × 5³ = 10,625 cubic feet

Step-by-step explanation:

Which equation can be used to find the volume of this solid? 6 in 8 in. 1 7 in. O V. 758 xa ov-+6+8 o v-7x6x8​

Answers

Answer:

Option 1:  V = pi(6)2(8)

Step-by-step explanation:  

This is because when we plug in the value given in the picture.  

Formula  

The way we write this is by using our  "r" which is 6. We plug in the 6 for "r" so the equation will look something like this:  

Then we will plug in our height "h", which is 8. So the equation will look something like this:  

So that's it. Very simple. Just remember to keep the formula in mind and you will get the hang of it.  

I hope this help! :D

Equation to calculate volume of solid is V = 6 × 8 × 7

What is equation?

An equation is a formula that expresses equality by connecting two expressions with an equal sign =. Equation consists of variables, constants and coefficients. Right side and left side of an equation are in equality.

There are different types of equations as linear equations, quadratic equation etc.

example: 2x + 5y + 7 = 0 is an equation

here, 2, 5 are coefficients of variables x and y, 7 is a constant value

2x² + 5x + 3 = 0 is a quadratic equation.

Given,

measurement of the sides of solid

length = 6in

Width = 8 in

Height = 7 in

Volume = Length×Width×Height

V = 6 × 8 × 7

Volume = 336 in³

Hence, V = 6 × 8 × 7 is the equation to calculate volume of solid.

Learn more about equation here:

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What is the probability of flipping a coin 85 times and getting tails 50 times or
fewer? Round your answer to the nearest tenth of a percent.
A. 33.2%
B. 0.4%
C. 95.9%
D. 99.8%

Answers

Answer:

C: 95.9%

Step-by-step explanation:

To find this, we shall be using the cumulative binomial probability calculator

As we know, the probability of getting a head or a tail in a throw of a coin is same with a value of 0.5

So, we want to find the probability of getting tails 50 times or fewer which means the probability of getting at most 50 tails

So we have the parameters as follows;

P( x ≤ 50)

n = number of trials = 85

p = probability of success = 0.5

r = number of success = 50

Using the parameters in the cumulative binomial probability calculator, we have the value as ;

0.9589 = 95.9%

Answer:

answering so the guy above gets brainliest

Help!!‼️‼️

How old am lif 500 reduced by 4 times my age is 256?

Answers

43 mnmmmmm m m m mm m m. character minimum

Answer:

Question 1172264: How old am I if 500 reduced by 4 times my age is 256? How old am I if 500 reduced by 4 times my age is 256? A is our age. 500 - 4A = 256.

Step-by-step explanation:

thank me later

A pair of shoes that normally sells for $85.00 goes on sale for 35% off.

Sean thinks that the sale price should be $50.00 but Melanie disagrees and says the price should be $55.25. Aiyanna says they are both wrong and decides the price should be $29.75.

Who is correct and why?
a. Melanie is correct.
b. Sean is correct.
c. Aiyanna is correct.

Answers

Answer:

A

Step-by-step explanation:

Melanie is correct

85 x 0.35 = 29.75

85 - 29.75 = 55.25

Answer:

a. Melanie is correct

Step-by-step explanation:

35% of 85= 29.75

*Find this by finding 10% (move decimal place over) and five percent (half of ten percent) and add triple of 10% plus the 5% or look it up*

Subtract this from 85

85-29.75=

$55.25

Hope this helps! Have a nice day :)

need help on math please

Answers

The length of missing leg is √40 = 6..32

Answer:

This one should match according to the pythagoras theorem

Evaluate:
26 (2n + 5) = [?]
Can someone please help me ASAP !

Answers

Answer:

it's 823 problem solved

Hello! Could someone help me answer this I got the first part right but the 2nd part wrong, even though I am pretty sure I did the math right.

Answers

a) x = 77 degrees

b) B - alternate angle

 (The angle that shows 'Z' shape is alternate as both the angles are equal)

Answer:

[tex] \large{ \tt{☄ \: STEP - BY - STEP \: EXPLANATION}} : [/tex]

PART - 1 :

We're provided the value of Angle ABF i.e 77° & we're asked to find out the value of x. Let's start :

❃ Firstly , Let's explore about Alternate angles :

Alternate angles can be defined as the pair of interior angles which lies to the opposite side of transversal. It usually forms ' Z ' shape & Alternate angles are always equal.

A. [tex] \large {\tt{⟿ \: x = \boxed{77 \degree}}}[/tex] [ Since AD [tex] \parallel[/tex] EH and being alternate angles ]

The value of x is 77° .

PART - 2 :

[tex] \boxed{ \boxed{ \large{ \text{Alternate \: Angles}}}}[/tex]

✺ If there's something else going on in your life and you can't get it off your mind : Write down what's going through your head , sort of like a diary entry. It'll help you work things out ! ♪

ツ Hope I helped! ♡

☼ Have a wonderful day / evening ! ☃

# StayInAndExplore ! ☂

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HELP DUE IN 10 MINS!

Circle R is defined by the equation ( x - 3)2 + ( y - 5)2 = 4. Select all of the points that lie on circle R.

A. (3,5)


B. (5,5)


C. (3,3)


D. (1,5)


E. (-1,5)


F. (3,7)

Answers

Answer:

B. (5,5)

C. (3,3)

D. (1,5)

F. (3,7)

Step-by-step explanation:

The equation of a circle with radius [tex]r[/tex] and center [tex](h, k)[/tex] is given by:

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

From this, we can find that the radius of the circle is [tex]\sqrt{4}=2[/tex] and the center of the circle is at [tex](3, 5)[/tex]. Therefore, the coordinates of all points exactly 2 units away from this center point will lie on the circle.

Out of all options given, the desired answers are:

B. (5,5)

C. (3,3)

D. (1,5)

F. (3,7)

Find the angles marked with letters. (AB is always a straight line)

Answers

Answer:

Step-by-step explanation:

B

Answer:

A

Step-by-step explanation:

PLEASE HELP ME WITH GEOMETRY!!! Please

Answers

Answer:

100

Step-by-step explanation:

What you need to do is multiply all of the numbers together so the three sides equal 12 so you need to do 12x3 which equals to 36 and 8x8 is 64 and then add 64 and 36 which gives you 100

Solution :

The given figure consists of two shapes that are a triangle and a square . To find the total area of the figure we will first find the area of the triangle then that of the square and add them .

Let's work on this ,

Area of triangle [tex]\sf\implies\::\dfrac{1}{2}\:\times\:base\:\times\:height[/tex]

In the given figure the base of the triangle is 12 inches and it's height is 8 inches .

[tex]\sf\implies\::\dfrac{1}{2}\:\times\:12\:\times\:8[/tex]

6 × 8 48 inches²

Now lets find the area of the square ,

Area of square = Side × Side12 × 12144 inches²

Total area of the figure

Area of triangle + Area of square 48 + 144192 inches²

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

Factor By Grouping
GCF

I’ll give brainly please help!!

Answers

Answer:

number 9 is A

number 10 is C

Step-by-step explanation:

number 9, rotate triangle

number 10, add the numbers/sides

Select the correct answer.
Which function is represented by this graph?



A.
f(x) = |x + 7| − 3
B.
f(x) = |x − 7| − 3
C.
f(x) = |x + 3| − 7
D.
f(x) = |x − 3| − 7

Answers

Answer:

answer D

Step-by-step explanation:

Answer:

f(x) = |x − 7| − 3

Step-by-step explanation:

Answer this question to get marked as brainliest!!!!

Answers

Answer:

7

Step-by-step explanation:

Solve the equation for x.
2/3 (6 – 9x) = 16

A) -2

B) -4

C) -9

D) -12

Answers

Answer:

A. - 2

Step-by-step explanation:

Given

2/3 ( 6 - 9x) = 16

or, 6 - 9x = 16 * 3 / 2

or, 6 - 9x = 24

or, - 9x = 24 - 6

- 9x = 18

x = 18 / - 9

Therefore x = - 2

Hope it will help :)❤

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