Mathematics, 13.01.2021 23:20 Nickanderson21

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

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Answer from: ultimateapes

$\huge\boxed{1000 \ \text{cm}^3}$

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 $a^{\frac{3}{2}}$ , a the area of one face. Since we know the area of one face, we can substitute that inside the equation.

$100^{\frac{3}{2}}$

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 - $100^{\frac{3}{2}}$ becomes $\sqrt{100^3}$

$\sqrt{1000000}=1000$

Therefore, the volume of this cube will be $1000 \ \text{cm}^3$

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 s^2 , 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 s^3 .

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

$\sqrt{s^2}=\sqrt{100}$ s=10

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

$10 \cdot 10 \cdot 10$ 1000

So the volume is $1000 \ \text{cm}^3$ .

Hope this helped!

Answer from: Quest

answer:

c 60% on edg

Answer from: Quest

a) one student is chosen from classroom a, then a student is chosen from classroom b.

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b. this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes. this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes. this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes. this makes them dependent events.

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The volume of a cube is related to the area of a face by the formula V = A^3/2What is the volume of...