Estimate the width and height in centimeters of a half-gallon milk

solution:

The volume of the milk container will be S x S x H or S^2H (V = l x w x h)  

One gallon of milk is 3.8L; we can assume milk is similar to water in its properties.  

One half gallon of milk would be 1.9L or 1900ml. 1900ml also is 1900cc (remember it is water..)  

So S²H= 1900cc  

If you look at a milk carton, the bottom would measure about 3 inches x 3 inches.  

3 inches = 3 x 2.54cm = 7.62cm and this would be S  

so...(7.62cm)²H = 1900cm³ cc = cubic centimeters or cm³  

so now we can solve for H = 1900cm³/58.06cm²  

H = 32.7cm or ~ 33cm high.

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)