Question

Algebra 2 help pls answer

Answer 1

The volume of this rectangular prism equals
`V = 20x^(4) + 20x^(3) + 40x^(2)`

Explanation:

In order to solve this question, we have to use the formula provided in the question to find out the volume of the rectangular prism. The formula goes as follows...

V = l × w × h (where "l" is the length, "w" is the width, and "h" is height.

From the question, we know that...

l = 4x

w = 5x

h =
`x^(2) + x + 2`

Now we just have to substitute all of these values into the equation and we get that...

V = l × w × h

V = 4x × 5x ×
`(x^(2) + x +2)`

`V = (20x^(2))(x^(2) + x + 2)\\V = 20x^(4) + 20x^(3) + 40x^(2)`

Therefore, The volume of this rectangular prism equals
`V = 20x^(4) + 20x^(3) + 40x^(2)`