The area of the bottom of a shoebox can be written as a(x) = 2x2 - 4 and the height of the shoebox can be written as h(x) = 3x +
2. write an expression to represent the volume v(x) of the shoebox.
a.v(x) = 6x3 - 8
1 answer:
Answer:V(x) = 6x³ + 4x² - 12x - 8
Step-by-step explanation:
The shoe box can either be cube shaped or cubiod shaped. The volume of the box is length × breadth × height
Since Area = Length × Breadth
Volume = Area × Height
V(x) = A(x) × H(x)
A(x) = 2x² - 4
H(x) = 3x + 2
V(x) = (2x² - 4)(3x + 2)
V(x) = 6x³ + 4x² - 12x - 8
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