$\text { An open box of maximum volume is to be made from a square piece of material } 22$
centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure). Write the volume $V \text { as a function of } x \text {, the length of the corner squares. }$
A) $V = x ( 22 - 2 x ) ^ { 2 }$
B) $V = x + ( 22 - x ) ^ { 2 }$
C) $V = x ^ { 2 } + ( 22 - 2 x )$
D) $V = x ^ { 2 } ( 22 - 2 x )$
E) $V = x ( 22 - 2 x )$

Question

$\text { An open box of maximum volume is to be made from a square piece of material } 22$
centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure). Write the volume $V \text { as a function of } x \text {, the length of the corner squares. }$ 
A) $V = x ( 22 - 2 x ) ^ { 2 }$ 
B) $V = x + ( 22 - x ) ^ { 2 }$ 
C) $V = x ^ { 2 } + ( 22 - 2 x )$ 
D) $V = x ^ { 2 } ( 22 - 2 x )$ 
E) $V = x ( 22 - 2 x )$

Quizplus · Accepted Answer

The Answer of $\text { An open box of maximum volume is to be made from a square piece of material } 22$
centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure). Write the volume $V \text { as a function of } x \text {, the length of the corner squares. }$ 
A) $V = x ( 22 - 2 x ) ^ { 2 }$ 
B) $V = x + ( 22 - x ) ^ { 2 }$ 
C) $V = x ^ { 2 } + ( 22 - 2 x )$ 
D) $V = x ^ { 2 } ( 22 - 2 x )$ 
E) $V = x ( 22 - 2 x )$

An open box of maximum volume is to be made from a square piece of material 22\text { An open box of maximum volume is to be made from a square piece of material } 22 An open box of maximum volume is to be made from a square piece of material 22

$\text { An open box of maximum volume is to be made from a square piece of material } 22$