we know that
the volume of a rectangular prism is equal to
where
L is the length of the box
W is the width of the box
H is is the height of the box
in this problem we have
<u>Find the length of the box</u>
Using a graph tool-------> we will determine the roots of the equation of volume
see the attached figure
the roots are
so
therefore
<u>the answer is</u>
the length of the box is equal to 
The area of the cheese is 8 square inches. to find out the sides, you must find the square root of 8. √8 = 2.82.
Here, 4³√(3x-3)² + 2 = 38
= 4³ (3x - 3) = 38 - 2
= 192x - 192 = 36
= 192x = 192 + 36
= x = 228/192
= x = 1.1875 [ Final Answer ]
Hope this helps!
When you simplify the square root of a number, you are looking for factors of the number that are perfect squares that you can remove from under the radical. For example sq root of 8... it's not a perfect square but factors of 8 include 2 x 4... 4 is a perfect square so we can take it out of the radical by taking it's square root. Now you are left with 2* sq root of 2.
For sq root of 48
48 = 12 x 4
12 = 3x4 so we can say 48 = 3x4x4
so... sq root 48 = sq root 3x4x4
we have two 4's under the radical. Sq root x^2 = x so sq root 4^2 is 4
Pull it out from the radical and we are left with 4 * sq root 3
