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How can prime factorization help you design a rectangular prism with a given volume?
It cannot except in the highly restricted and totally artificial situation where all sides are of integer measure (in some units).
If you were required to find a prism with measure 30 cubic metres then you are meant to say:
"Oh, I know! The prime factorisation of 30 is 2*3*5 and so the prism is 2 m * 3 m * 5 m."
Yes, that is certainly possible, but what about
1 m * 2 m * 15 m?
or 1 m * 4 m * 7.5 m?
or (worse still) sqrt(2) m * sqrt(2) m * 15 m?
For any given volume, there are infinitely many possible triplets of measures for suitable prisms and prime factorisation is of help in only a small number of cases. A finite number out of an infinite number = precisely 0%!
What else can I help you with?
What is the number with a prime factorization of 2x2x2x11x11x13?
The given sentence isn't a prime factorization since 9 isn't prime. The correct prime factorization of 495 is 3 x 3 x 5 x 11
What is the LCM of 12 16 using prime factorization?
The LCM of the given two numbers is 48
How many rectangular arrays help you identify factors and factor pairs for a given number?
6
Is factor string the same as factor tree?
Not really. A factor string is a multiplication sentence. A factor tree is a way of notating the process of finding the prime factorization of a given number. End result: 4 x 9 can be a factor string for 36, but can't be a prime factorization. The prime factorization of 36 is 2 x 2 x 3 x 3.
This is expressed as the weight of a mineral compared with the weight of an equal volume of water?
This is the specific gravity of the mineral. It's a comparison of how much mass a given volume of it has compared to the mass of an equal volume of water.
What is the volume of the rectangular prism with length l width w and height h?
The volume of a rectangular prism is given by the formula volume of rectangular prism = length x width x height If the length is l, the width is w and the height is h the volume is given by volume = lwh
How do you find the width of a rectangular prism given the volume and the area of one side?
By dividing the area into the volume: width = volume/area
What is the volume of a 3 by 12 rectangular prism?
A rectangular prism is defined by three linear measures. Only 2 are given in the question.
How do you find out height of a rectangle when volume and two sides given?
If you mean as in a rectangular cuboid then divide the product of the two given sides into the volume to find the height.
The volume of a rectangular Chinese box is given by the formula V equals LWH?
56
How do you find the volume of a rectangular prism given only the height?
You don't. You need the height and the area of the base to find the volume.
How do you find width and height of rectangular prism if you are given the lenght and volume?
The length and volume are not sufficient to determine the width and height.
What is the formula for finding the length of a rectangular box with given volume height and width?
Length = Volume divided by (Width X Heigth)
How do you calculate the volume of a rectangular parallelepiped where opposing corners are given?
length times with times height
How do you find width in rectangular prism if area volume and length is given?
I Just want an answerr?
Whats the formula for volume of a rectangular solid?
The formula for the volume of a rectangular solid, also known as a rectangular prism, is given by ( V = l \times w \times h ), where ( V ) represents the volume, ( l ) is the length, ( w ) is the width, and ( h ) is the height of the solid. To find the volume, simply multiply these three dimensions together.
What is the given volume of a rectangular pyramid?
The volume of any pyramid or cone is given by the formula: 1/3 x base area x height For a rectangular-based pyramid: 1/3 x base width x base length x height
