The volume of a rectangular prism is (x4 4x3 3x2 8x 4), and the area of its base is (x3 3x2 8). if the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?

Respuesta :

The height of the rectangular prism with volume of (x⁴ + 4x³ + 3x² + 8x + 4), and base of (x³ + 3x² + 8) is x + 1 - (4 / (x³  + 3x² + 8))

What is an equation?

An equation is an expression that shows the relationship between two or more number and variables.

Volume of prism = area of base * height

If the volume of a rectangular prism is (x⁴ + 4x³ + 3x² + 8x + 4), and the area of its base is (x³ + 3x² + 8). Hence:

x⁴ + 4x³ + 3x² + 8x + 4 = x³ + 3x² + 8 * height

height = x + 1 - (4 / (x³  + 3x² + 8))

The height of the rectangular prism with volume of (x⁴ + 4x³ + 3x² + 8x + 4), and base of (x³ + 3x² + 8) is x + 1 - (4 / (x³  + 3x² + 8))

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