Question

GEOMETRY The area of the base of a rectangular box measures 2x² + 4x-3 square units. The height of the box measures x units. Find a polynomial expression for the volume of the box.​

Answer 1

2x^3 + 4x^2 - 3x

Explanation:

area of base = 2x^2 + 4x - 3 = Length x Breadth

Height of box = x

volume of box = Height x Length x Breadth

= (2x^2 +4x - 3) x

= 2x^3 + 4x^2 - 3x

Answer 2

The area of the base of the rectangular box is 2x² + 4x - 3 square units and the height is x units.

So the volume of the box can be found by multiplying the area of the base by the height:

V = (2x² + 4x - 3) x (x)

V = 2x³ + 4x² - 3x

Therefore, the polynomial expression for the volume of the box is 2x³ + 4x² - 3x.