Question

Find the volume of a rectangular prism if the length is 3x2, the width is 2x, and the height is x2 + 3x + 5. Use the formula V = l ⋅ w ⋅ h, where l is length, w is width, and h is height, to find the volume. 
5x^5 + 18x^4 + 30x^3 
5x^6 + 18x^4 + 30x^3
 6x^5 + 18x^4 + 30x^3
 6x^6 + 18x^4 + 30x^3

Answer 1

You are given the length of a rectangular prism of 3x^2, width of 2x and height of x^2 + 3x +5. You are required to find the volume of a rectangular prism. Using the equation V = l x w x h, we multiply the three dimensions.  

V = l x w x h
V = (3x^2)(2x)( x^2 + 3x +5)
V = 2x (3x^4 + 9x^3 + 15x^2)
V = 6x^5 + 18x^4 + 30x^3  
The volume of the rectangular prism is 6x^5 + 18x^4 + 30x^3.