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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?
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.
What else can I help you with?
Is 93 and 120 and 301 a rectangular numbers?
A rectangular number, also known as a pronic number, is the product of two consecutive integers. To determine if 93, 120, and 301 are rectangular numbers, we can check if they can be expressed as ( n(n+1) ) for some integer ( n ). 93 can be expressed as ( 9 \times 10 ), which is not the product of consecutive integers. 120 can be expressed as ( 10 \times 12 ), which is also not consecutive. 301 cannot be expressed as a product of two consecutive integers either. Therefore, none of these numbers are rectangular numbers.
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.
Find all possible whole number dimensions of a rectangular prism with volume 30m3?
To find the possible whole number dimensions of a rectangular prism with a volume of 30m^3, we need to factorize 30 into pairs of whole numbers. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. By pairing these factors, we can determine the possible dimensions of the rectangular prism. The possible whole number dimensions for a rectangular prism with a volume of 30m^3 are: 1m x 1m x 30m, 1m x 2m x 15m, 1m x 3m x 10m, 1m x 5m x 6m, 2m x 3m x 5m.
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
Is 93 and 120 and 301 a rectangular numbers?
A rectangular number, also known as a pronic number, is the product of two consecutive integers. To determine if 93, 120, and 301 are rectangular numbers, we can check if they can be expressed as ( n(n+1) ) for some integer ( n ). 93 can be expressed as ( 9 \times 10 ), which is not the product of consecutive integers. 120 can be expressed as ( 10 \times 12 ), which is also not consecutive. 301 cannot be expressed as a product of two consecutive integers either. Therefore, none of these numbers are rectangular numbers.
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
Which numbers between 3 and 11 are rectangular?
Well, honey, none of the numbers between 3 and 11 are rectangular. Rectangular numbers are the product of two consecutive integers, like 6 (2x3) or 12 (3x4). So, in this case, you're out of luck if you're looking for rectangular numbers between 3 and 11.
Find all possible whole number dimensions of a rectangular prism with volume 30m3?
To find the possible whole number dimensions of a rectangular prism with a volume of 30m^3, we need to factorize 30 into pairs of whole numbers. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. By pairing these factors, we can determine the possible dimensions of the rectangular prism. The possible whole number dimensions for a rectangular prism with a volume of 30m^3 are: 1m x 1m x 30m, 1m x 2m x 15m, 1m x 3m x 10m, 1m x 5m x 6m, 2m x 3m x 5m.
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
Which is a rectangular number is it 93 or 120 or 301?
If you define a rectangular number as a number which is the product of two consecutive integers, none of them qualify.
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".
