All categories

2 years ago

(PLSSS HELP!!) Explain how the formula for the area of a square is related to the formula for the volume of a cube.

Mathematics

1 answer:

Serga [27]2 years ago

5 0

x = side length

Area of a square = x^2

Area of a cube = x^3

The squaring operation is directly tied to the geometric shape of a square. The naming is not a coincidence. The same can be said about the cubing exponent being connected to a 3D cube in geometry.

Notice how x^3 can be written as x^2*x. Buried inside the volume of a cube formula is the area of a square. We can effectively rewrite that second equation as

volume of a cube = (area of a square)*x

where x is the side length of the cube and square

This idea of tying together the volume and area like this will be helpful when setting up other volume formulas (eg: volume of a prism).

You might be interested in

David's overtime rate is $20. This week, he worked 3 overtime hours. How much will he get paid for overtime?

vichka [17]

Answer:

$60

Step-by-step explanation:

3x20=60

3 0

2 years ago

Read 2 more answers

The Basketball Boosters Club plans a pancake supper to raise $1,200. They can serve 240 people. They

wolverine [178]

$\huge{ \mathfrak{ \underline{ Answer} \: \: ✓ }}$

let the number of

adults be x

children be y

Total number of people : adults + children

x + y = 240

x = 240 - y - [1]

Total money earned from adults :

6 × x = 6x

Total money earned from children :

2 × y = 2y

Therefore, total money = money earned from each Adult and children.

6x + 2y = 1200 -[2]

Now, let's plug the value of x from equation [1] into equation [2]

6 (240 - y) + 2y = 1200

1440 - 6y + 2y = 1200

-4y = 1200 - 1440

-4y = - 240

y = 60

let's plug the value of y in equation [1]

x = 240 - y

x = 240 - 60

x = 180

Hence, we get :

total adults = x = 180

total children = y = 60

Correct option is C

_____________________________

$\mathrm{ ☠ \: TeeNForeveR \: ☠}$

7 0

2 years ago

Kareem inserted 2 quarts into a dryer at a laundromat, and the dryer ran for 12 minutes. at this rate, for how long would the dr

NISA [10]

If Kareem put 8 quarts the dryer will run for 48 minutes
Hope this helps

3 0

2 years ago

Please do this ASAP, it’s due in 30 minutes! <br> Thank you!<br> No links<3

grigory [225]

Answer:

I think it is -24t+20 if you want to simplify

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A 3mL unit dose of levalbuterol HCl contains 0.63mg of active ingredient. If 2 unit doses are used, how many mg of active ingred

Sergio039 [100]

Answer: 0.42 mg

Step-by-step explanation:

Given : A 3mL unit dose of levalbuterol HCl contains 0.63mg of active ingredient.

Then , the amount of active ingredient in 1 ml dose of levalbuterol HCl = $\dfrac{0.63}{3}$

$=\dfrac{63}{300}=\dfrac{21}{100}=0.21\ mg$

Hence, the amount of active ingredient in 2 ml dose of levalbuterol HCl will be :-

$2\times0.21=0.42\ mg$

Hence, the amount of active ingredient in 2 ml dose of levalbuterol HCl =0.42 mg

6 0

3 years ago