Find the side length of a cube with a volume of 69cm^3. If necessary, round your answer to the nearest tenth
1 answer:
Answer:
4.1 centimeters
Step-by-step explanation:
The volume of a cube can be found using the following formula.
We know that the volume of the cube is 69 cm^3, therefore we can substitute 69 cm^3 in for V (volume).
We want to find out what<em> s</em> (side length) is. Therefore, we must get<em> s </em>by itself.
s is being cubed. The inverse of a cube is the cube root. Take the cubed root of both sides.
The question tell us to round to the nearest tenth. The 0 in the hundredth place indicates we should leave the 1 in the tenth place.
The side length of the cube is 4.1 centimeters.
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Answer:
We want to find:
Here we can use Stirling's approximation, which says that for large values of n, we get:
Because here we are taking the limit when n tends to infinity, we can use this approximation.
Then we get.
Now we can just simplify this, so we get:
And we can rewrite it as:
The important part here is the exponent, as n tends to infinite, the exponent tends to zero.
Thus:
Answer:
Step-by-step explanation:
Let, the length of the rectangle be 'L'
and, width of the rectangle be 'W'
length=2*Width+3
Area of the rectangle= 90 square feet
Area of a rectangle = Length*Width
Using Factorization Method to solve quadratic equation:
Taking common from the equation:
OR
The Width cannot be negative, therefore Width(W)=12 feet
