MATH SOLVE

9 months ago

Q:
# 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?

Accepted Solution

A:

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 * heightIf 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 * heightheight = 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))Find out more on equation at: