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

Question

Mathematics

Jose Boyer

23 March, 16:18

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

+2

Answers (1)

Know the Answer?

Beef · Answer 1

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

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

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