40 50 60 70 80 90 100 what is the range
1 answer:
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We have been given 4 choices. We are asked to choose the volume that could belong to a cube with a side length that is an integer.
We know that volume of a cube is cube of each side length.
To solve our given problem, we will take cube root of each given value. The cube root of which value will be an integer that will be our correct choice.
A.
Since cube root of 18 is not an integer, therefore, 18 is not a correct choice.
B.
Since cube root of 36 is not an integer, therefore, 36 is not a correct choice.
C.
Since cube root of 64 is 4 and 4 is an integer, therefore, 64 is the correct choice.
D.
Since cube root of 100 is not an integer, therefore, 100 is not a correct choice.
Answer:
Step-by-step explanation:
The perimeter of a rectangle can be calcualated with this formula:
Where "l" is the lenght and "h" is the height.
The area of a rectangle can be found with this formula:
Where "l" is the lenght and "h" is the height.
In this case we know that:
Therfore, we can susbsitute them into and solve for "h" in order to find its value:
Find two number whose sum is 3 and whose product is -40. These are -5 and 8. Then, factorizing, we get:
The positive value is the height. Then:
Since the length is 3 centimeters greater than its height, we get that this is: Then:
Substituting values into , we get that the perimeter is: