With the equation 4x, the x represents side length. Since we are given side length of 5/7, then the equation becomes
perimeter = 4 × 5/7
p= 20/7
p= 2 6/7 units
X + 8 >= 18
(>= means greater than or equal to)
x + 8 - 8 >= 18 - 8
x >= 10
Answer:
The value of x that maximizes the volume enclosed by this box is 0.46 inches
The maximum volume is 3.02 cubic inches
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The volume of the open-topped box is equal to

where

substitute

Convert to expanded form

using a graphing tool
Graph the cubic equation
Remember that
The domain for x is the interval -----> (0,1)
Because
If x>1
then
the width is negative (W=2-2x)
so
The maximum is the point (0.46,3.02)
see the attached figure
therefore
The value of x that maximizes the volume enclosed by this box is 0.46 inches
The maximum volume is 3.02 cubic inches
The container is aproximatly 1064.16 cm^2
Volume of a cylinder (area of the base* height) + area of the sphere (4 *pi * r^2)
(25*30) + (4* pi * 25) = 750 + 314.15926535898 = 1064.15926535898
68 meters is the correct answer