A factory worker can make 14 products in 45 minutes. what is the worker's unit rate?

2 answers:

7 0

Divide the number of products by the time.

unit rate = (14 products)/(45 minutes) = 0.311 products/minute

Since there are 60 minutes in an hour, if you want the unit rate in products per hour, just multiply what we got above by 60.

unit rate = 18.667 products/hour

valkas [14]3 years ago

7 0

3.2 minutes per products

divide 14 by 45.0 = 3.2 r 30

hope this helps

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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 a cube whose face has an are

Sveta_85 [38]

Answer:

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

Step-by-step explanation:

There are two ways we can solve this equation.

<h2>A) Using the formula provided</h2>

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 $\sqrt{100^3}$

$100^3=1000000$

$\sqrt{1000000}=1000$

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

<h2>B) Using prior knowledge about cubes</h2>

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 $s^3$ .