Respuesta :
Answer: V = 8x^3-80x^3 +200x
Domain 0<x<5
Step-by-step explanation:
Dimension of cardboard = 10 by 10
Let the length of box = 10-2x
Let the width of box = 10 - 2x
Let the height of box be =x
Volume = l×w×h
V = (10-2x)×(10-2x)×x
V= 100 - 40x +42 × x
V= 8x^3 -80x^2 +200x
The volume of the box as a function of x is 8x³ - 80x² + 200x
The formula to calculate volume will be:
= Length × Width × Height
The dimensions of the cardboard will be:
Length = 10 - 2x
Width = 10 - 2x
Height = x
Therefore, the volume will be:
= (10 - 2x) × (10 - 2x) × x
= 8x³ - 80x² + 200x
Therefore, the volume of the box as a function of x is 8x³ - 80x² + 200x.
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