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Gnesinka [82]
3 years ago
14

40. Find the side length of a cube with volume 125 cm3.

Mathematics
1 answer:
rewona [7]3 years ago
7 0
The answer is 5cm because 5 x 5 x 5 = 125
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The volume of the rectangular prism below is 30x3 + 35x2 + 10x factor to find the possible expressions for length,width and heig
juin [17]
30x³ + 35x² + 10x factorised is 5x(2x + 1)(3x +2). To find this, you first want to take out a common factor to be left with a quadratic equation. In this case, we can factor out 5x to be left with 6x² + 7x + 2.

Now we can factorise 6x² + 7x + 2 by finding factors of 6 that add together to make 7 when one of them is multiplied by 2. These are 3 and 2, which is how we end up with (2x + 1) and (3x + 2). Let me know if you would like me to go more indepth about how I found this.

Then you just put these with the 5x and you get 5x(2x + 1)(3x + 2), which are possible expressions for the length, width, and height.
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