First brake the figure into 3 rectangles . One across and 2 going up and down . Then solve for the small figures and add up all the areas together . Hope this helps .
it should be 100/3 or 33.3 repeating
-14x + 15y = 15
-14x + 14x + 15y = 14x + 15
15y = 14x + 15
15 15
y = ¹⁴/₁₅x + 1
-21x - 20y = -10
-21x - 20(¹⁴/₁₅x + 1) = -10
-21x - 20(¹⁴/₁₅x) - 20(1) = -10
-21x - 18²/₃x - 20 = -10
-39²/₃x - 20 = -10
+ 20 + 20
-39²/₃x = 10
-39²/₃ -39²/₃
x = ⁻³⁰/₁₁₉
y = ¹⁴/₁₅x + 1
y = ¹⁴/₁₅(⁻³⁰/₁₁₉) + 1
y = ⁻²⁸/₁₁₉ + 1
y = ⁹¹/₁₁₉
(x, y) = (⁻³⁰/₁₁₉, ⁹¹/₁₁₉)
This is an optimization calculus problem where you would need to know a little bit more about the box, atleast i would think. You would just need to use the volume equation of a sphere as the restrictive equation in the optimization problem. Perhaps there is a way to solve with the given information, but i do not know how to.
That equals <u>.0124031008</u>
