A box is created from a square piece of cardboard with sides measuring s = 16 cm by cutting a square from each corner and folding up the sides. Let x represent the length of the sides of the squares Removed from each corner.
Find an expression representing the volume of the box.
A) $V = 4 x ^ { 3 } - 64 x ^ { 2 } + 256 x$
B) $V = x ^ { 3 } - 64 x ^ { 2 } + 1024 x$
C) $V = x ^ { 3 } - 32 x ^ { 2 } + 256 x$
D) $V = 16 x ^ { 2 } + 4 x ^ { 3 }$

Question

A box is created from a square piece of cardboard with sides measuring s = 16 cm by cutting a square from each corner and folding up the sides. Let x represent the length of the sides of the squares Removed from each corner.
Find an expression representing the volume of the box.  
A) $V = 4 x ^ { 3 } - 64 x ^ { 2 } + 256 x$ 
B) $V = x ^ { 3 } - 64 x ^ { 2 } + 1024 x$ 
C) $V = x ^ { 3 } - 32 x ^ { 2 } + 256 x$ 
D) $V = 16 x ^ { 2 } + 4 x ^ { 3 }$

Quizplus · Accepted Answer

The Answer of A box is created from a square piece of cardboard with sides measuring s = 16 cm by cutting a square from each corner and folding up the sides. Let x represent the length of the sides of the squares Removed from each corner.
Find an expression representing the volume of the box.  
A) $V = 4 x ^ { 3 } - 64 x ^ { 2 } + 256 x$ 
B) $V = x ^ { 3 } - 64 x ^ { 2 } + 1024 x$ 
C) $V = x ^ { 3 } - 32 x ^ { 2 } + 256 x$ 
D) $V = 16 x ^ { 2 } + 4 x ^ { 3 }$

A Box Is Created from a Square Piece of Cardboard V=4x3−64x2+256xV = 4 x ^ { 3 } - 64 x ^ { 2 } + 256 xV=4x3−64x2+256x

A Box Is Created from a Square Piece of Cardboard $V = 4 x ^ { 3 } - 64 x ^ { 2 } + 256 x$