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What is the possible dimensions of a rectangular box if the dimensions are three consecutive numbers and the volume is 60 CM?
Wiki User
∙ 12y ago
Let the dimensions be x, y and z.
xyz = 60
As the numbers are consecutive then we can say that y = x + 1 and z = x + 2, therefore:
x (x + 1) (x + 2) = xyz = 60
Expanding the brackets gives x3 + 3x2 + 2x = 60
Thus x3 + 3x2 + 2x - 60 = 0
We now need to factor this to find the roots.
This factors to:
(x-3) (x2 + 6x + 20) = 0
The second bracket above has two imaginary roots. Therefore the only real root is x-3 = 0. Therefore x = 3.
The dimensions are thus 3, 4 and 5.
Wiki User
∙ 12y ago
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What set of dimensions is possible for a rectangular prism with volume 336 in 3?
There are, of course, infinitely many solutions here. Choose any two positive numbers for the first two dimensions. Then divide 336 by the product of the two numbers, to get the third dimension.
Is it possible the 3 consecutive numbers can be a prime factor?
No.
What is the two consecutive numbers with a total of 132?
It is not possible in our Universe that two consecutive numbers can total an even number, since any two consecutive numbers must be an odd and an even (or vice versa). There are two consecutive odd numbers which total 132 ie 65 and 67
Two consecutive numbers are called what?
They are called just that: "consecutive numbers".They are called just that: "consecutive numbers".They are called just that: "consecutive numbers".They are called just that: "consecutive numbers".
Is it possible for 2 to be consecutive numbers other than 2 and 3 to be a prime?
No.
What set of dimensions is possible for a rectangular prism with volume 336 in 3?
There are, of course, infinitely many solutions here. Choose any two positive numbers for the first two dimensions. Then divide 336 by the product of the two numbers, to get the third dimension.
Is it possible for sum of 2 consecutive even numbers to equal the sum of 2 consecutive odd numbers?
No
The perimeter of the rectangular shaped base of a piano is 16 feet What are all the possible dimensions of the piano using only whole numbers of feet?
1ftx12ft=12 feet
Is it possible the 3 consecutive numbers can be a prime factor?
No.
What makes 300 in 2 consecutive numbers?
Not possible in consecutive integers, nearest is consecutive even integers: 148 & 152
Are 10 20 30 40 etc consecutive numbers?
Defining "consecutive" as "following continuously in unbroken or logical sequence," it is possible to have many different types of consecutive things: consecutive days, months, odd numbers, even numbers, etc. The list you have is consecutive, they are consecutive multiples of ten.
What is the two consecutive numbers with a total of 132?
It is not possible in our Universe that two consecutive numbers can total an even number, since any two consecutive numbers must be an odd and an even (or vice versa). There are two consecutive odd numbers which total 132 ie 65 and 67
What are the dimensions of a rectangular area using the longest side possible covering 3000 sqft?
In whole numbers of feet 3000 long by 1 wide. I suspect that more accurate wording might help answerers.
Two consecutive numbers are called what?
They are called just that: "consecutive numbers".They are called just that: "consecutive numbers".They are called just that: "consecutive numbers".They are called just that: "consecutive numbers".
What is three consecutive whole numbers whose sum is 46?
That isn't possible.
Is it possible for two consecutive numbers (other than 2and 3) to be prime?
No.
Is it possible for 2 to be consecutive numbers other than 2 and 3 to be a prime?
No.
