Mathematics College

The volume of a cube is related to the area of a face by the formula V = A^3/2What is the volume of a cube whose face has an area of 100 cm??
helppp!!

The Volume Of A Cube Is Related To The Area Of A Face By The Formula V = A^3/2What Is The Volume Of A

Answers

Answer 1

Answer:

[tex]\huge\boxed{1000 \ \text{cm}^3}[/tex]

Step-by-step explanation:

There are two ways we can solve this equation.

A) Using the formula provided

The formula provided states that the volume of a cube based on the area of one of it's faces will be [tex]a^{\frac{3}{2}}[/tex], a the area of one face. Since we know the area of one face, we can substitute that inside the equation.

[tex]100^{\frac{3}{2}}[/tex]

It's important to note that when we have a number to a fraction power, it's the same as taking the denominator root of the base to the numerator power.

So - [tex]100^{\frac{3}{2}}[/tex] becomes [tex]\sqrt{100^3}[/tex]

[tex]100^3=1000000[/tex] [tex]\sqrt{1000000}=1000[/tex]

Therefore, the volume of this cube will be [tex]1000 \ \text{cm}^3[/tex]

B) Using prior knowledge about cubes

We can additionally use prior knowledge to find the volume of this cube.

We know that the area of a square will be [tex]s^2[/tex], where s is the length of a side. We also know the formula to find the volume of a cube from it's side length is [tex]s^3[/tex].

Since we know that one face is 100, we can make an equation - [tex]s^2=100[/tex]

[tex]\sqrt{s^2}=\sqrt{100}[/tex] [tex]s=10[/tex]

Now that we know the value of s, we can plug it into the volume formula, [tex]s^3[/tex].

[tex]10^3[/tex] [tex]10 \cdot 10 \cdot 10[/tex] [tex]1000[/tex]

So the volume is [tex]1000 \ \text{cm}^3[/tex].

Hope this helped!

Related Questions

Solve the following proportion: k/4=33/20

Answers

Step-by-step explanation:

k/4=33/20

k=33/20×4

k=33/5

Answer:

k=6.6

Step-by-step explanation:

Please check the image attached.

I hope this helps!

Let N be the number of data entries in a population and n be the number of data entries in a sample data set. Describe the difference between the calculation of population standard deviation and sample standard deviation.

Answers

Answer:

Step-by-step explanation:

During the calculation of any population standard​ deviation, the sum of the squared deviation is usually divided by​ N, which is the number of data entry in the population. Thereafter, the square root of the result would be taken.

On the other hand, during the calculation of the sample standard​ deviation, the sum of the squared deviations is usually divided by n - 1, with n being number of entries in the sample data set. Thereafter, the square root of the result would be taken.

Si nacio el 4 a.C y murio el 45 despues de cristo con cuantos años murió y cuanto hace desde que murio

Answers

Answer:

????

Step-by-step explanation:

Each of the 9 dogs, weighs less than 4.5 pounds. How many total
pounds will all the dogs weigh?
WRITE AN INEQUALITY THEN SOLVE IT

Answers

Answer:

the answer is 40.5

Step-by-step explanation:

your welcome

Need help ASAP will mark Brainly

Answers

The answer is going to be 115 degrees

Answer:

115°

Step-by-step explanation:

its in the middle of 60° and 70°

. If a student is randomly choosing the answer to each of ten true-false questions in a test, what is the probability that he will have at most one incorrect answer (express the answer with four decimal places)

Answers

Answer:

0.0107

Step-by-step explanation:

Given that:

Probability of success in choosing a true - false answer :

(Number of correct answers / number of options)

= 1/2 ; p = 0.5

Number of questions = number of trials, n = 10

Probability of having atmost one incorrect answer :

p(incorrect answer) = 0.5

P(x ≤ 1) = p(0) + p(1)

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

When x = 0

P(x = 0) = 10C0 * 0.5^0 * 0.5^10

P(x = 0) = 1 * 1 * 0.0009765625

P(x = 0) = 0.0009765625

When x = 1

P(x = 1) = 10C1 * 0.5^1 * 0.5^9

P(x = 1) = 10 * 0.5 * 0.001953125

P(x = 0) = 0.009765625

P(x ≤ 1) = 0.0009765625 + 0.009765625

P(x ≤ 1) = 0.0107421875

Please answer now i don't have much time.

Answers

50, 25, 10, 0, -10, -5
50 10 ejjdjdjdjdjdjjsjdjdjjdjdjdhdhdhhfjd

6
Solve for z.
(1 Point)
Z - 8 <1

Answers

Answer: Z < 9

Step-by-step explanation:

Adding 8 to both sides gives [tex]Z < 1+8=9[/tex].

For what value of x does 3 Superscript 2 x Baseline = 9 Superscript 3 x minus 4? 1 2 3 4

Answers

Answer:

b

Step-by-step explanation:

Answer: B.) 2

Step-by-step explanation:

Just took the test and got it correct

Please help..? ASAP

Answers

Answer:

Answer is A and D, thats the most simple way I can give it to you.

Step-by-step explanation:

If no one answers, can I have brainliest?

Answer:

Answer is A and D

Step-by-step explanation:

Please answer test !

What is the similarity ratio of VWXY to GDEF?
Your answer

Answers

Answer:

pingas pingas pingas pingas pingas pingas

(-1) + (-7) answer with work shown

Answers

Answer is -8

(-1)+(-7) turns into (1)+(7)=8 and then back to original which will be -8

What is the slope? (IXL)

Answers

Answer:

2/5x

Step-by-step explanation:

[character limit thing]

Answer:

2/5

Step-by-step explanation:

rise over run

Highest single digit odd number

Answers

Answer:

The answer is 9

Step-by-step explanation:

Have a great day!

Answer:

9

Step-by-step explanation:

Write two ratios that are equivalent to 5:4

Answers

Answer:

10:8

20:16

Step-by-step explanation:

Hope this helps!!!!!!

Answer: 10 : 8 and 15 : 12

Step-by-step explanation:

5 : 4 ⇔ 10 : 8  (multiply by 2)

5 : 4 ⇔ 15 : 12   (multiply by 3)

Hope I helped!

Can please thank you

Answers

Answer:

She would need to work at least 11.363636 hours

Step-by-step explanation:

475+11x≥600

11x≥600-475

11x≥125

x≥125÷11

x≥ 11.363636

Steven has 20 tickets to use at the carnival. Jared has 4 tickets to use at the carnival. How many times as much is the amount of tickets Steven has than Jared?

Answers

i accidentally answered this one instead of another one sorry

Steven has five times more tickets than Jared.

What is Multiplication?

'Multiplication is an operation that represents the basic idea of repeated addition of the same number.'

According to the given problem,

If we add the number of tickets till it equals Steven's number of tickets,

= 4 + 4 + 4 + 4 + 4

= 20

This can also be represented as 4 × 5 = 20

Hence, we can conclude that Steven has five times more tickets than Jared.

Learn more about multiplication here: https://brainly.com/question/22381241

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What is the product of — 4and 2 3/5

Answers

Answer:

-10 2/5

Step-by-step explanation:

Step 1: Change to improper fraction

2 3/5 as an improper fraction is 13/5

Step 2: Multiply by -4

-4×13/5=-52/5

Step 3: Change back to Mixed fraction

-52/5 as a mixed fraction is -10 2/5

Answer is -10 2/5

Help!
Question: total area of this composite figure

Answer choices:
A)30
B)54
C)59
D)74
I think its 74 but im unsure

Answers

Answer:

Your right the answer is 74

Step-by-step explanation:

It should be 74 if not right srry

The circumference of a circle is 6π ft. What is the area, in square feet? Express your answer in terms of
π

Please help

Answers

Answer:

Circumference of the circle 2π(radius)=6π ft

Therefore, radius=3 ft

Area=π(radius)²=π×3²=9π ft²

9π ft² is the right answer.

The area of circle is 9π square feet.

What is area?

Area is the amount of area occupied by an object's flat (2-D) surface or shape.

The circumference of circle = 2πr

6 = 2πr

r = 3π

And the area of circle is πr².

The area of the circle = 9π

Therefore, the area of the circle is 9π square feet.

To learn more about the area;

https://brainly.com/question/27683633

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i need help pleasee! ASAPP

Answers

Answer:

see below

Step-by-step explanation:

[tex]x^{\frac{p}{r}}=\sqrt[r]{x^{p}}[/tex]

[tex]3a^\frac{5}{3} =\sqrt[3]{3a^5}[/tex]

A bakery make small batches of bread daily each day the bakery records the amount of flour use the number of loaves of bread made. All loaves are approximately the same size. The table and graph show the bakery’s data for five days.

Answers

Answer:

y=1.4x

85*1.4=119

Anyone please help me

Answers

I think it’s 5/4 because from (0,-1) you go up 5 and then left 4

Answer:

-5/4

Step-by-step explanation:

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Answers

Answer:

what???Just say something real here bc brainly will ban u

Eduardo worked 40 regular hours last week plus 7 hours over time at time and a half his gross pay was 757.50 what is his hourly rate.

Answers

Answer:

divide

Step-by-step explanation:

and youll find the answer

Answer:

30

Step-by-step explanation:

What is the m∠A in triangle ABC if m∠B = 35° and m∠C = 92°? *

Answers

In a triangle, all interior angles add up to 180, which means A + B + C = 180.

A + 35 + 92 = 180
A + 127 = 180
A = 53

603.8 • 1,000 what is the equivalent expression

Answers

Answer

603800

Step-by-step explanation:

Yuh


PLEASE ANSWER THIS AND IF YOU DO YOU GET
1. FOLLOW
2. BRAINLIEST

Answers

Answer:

i will give you the answer

Step-by-step explanation:

but what do you need

do you need intersect,slope,y=mx+b form?

Y’all Who wanna do this for me ‍♀️‍♀️‍♀️ pls pls pls 10 points :):D ;)

Answers

Answer: She sold 80% and didnt sell 20%

Step-by-step explanation:

20/25= 80%

the rest= 20%

Answer:

a)20 out of 25 is equal to 80 %

b)she didn't sell 20%

Step-by-step explanation:

While watching a football game, Jordan decided to list yardage gained as positive integers and yardage lost as negative integers. After these plays, Jordan recorded 14, -7, and -9. What was the overall gain or loss?

Answers

Answer:

There is a loss of 2 yards.

Step-by-step explanation:

To find the overall gain or loss, we add or subtract there values.

Initially, we have 0 yards.

Records 14, so 0 + 14 = 14, that is, for now a gain of 14

Then loses 7, so 14 - 7 = 7, for now a gain of 7.

Then, 7 - 9 = - 2, so in all, there is a loss of 2 yards.

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