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1.The volume of a cube of edge length x cm is given by the formula V=x3. A die has a volume of 720m3. A student determined that the exact length of each edge of the die could be written as a mixed radical. 

 

What is the Edge Length?

 

What is the perimeter of one face of the cube?

 

 

2. Simplify This expression by adding and subtracting like radicals.

 

6√32 + √192 - 3√12- √162

 Nov 5, 2018
 #1
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x^3  =  720

 

x^3   =   8 * 9 * 10

 

x^3  =  8 * 90     take the cube root

 

x =   ∛8 *  ∛90

 

x  =    2*  ∛90   m   =   edge length

 

Perimeter of one face  =  4* 2∛90   m   =    8∛90   m

 

 

Second one

 

6√32  + √192   - 3√12   - √162

 

6 √16 * √2  +  √ 16 * √4 * √3   -  3* √ 4 * √3   -  √81 *√2 

 

6 * 4 * √2  +  4 * 2 * √3  -  3 * 2 * √3  -  9 * √2

 

24√2  + 8√3  - 6√3  - 9√2

 

15√2  + 2√3

 

 

 

cool cool cool

 Nov 5, 2018
edited by CPhill  Nov 5, 2018

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