Question

Algebra 2 help pls answer

Answer 1

Answer:

The volume of this rectangular prism equals $V = 20x^{4} + 20x^{3} + 40x^{2}$

Step-by-step 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 $V = 20x^{4} + 20x^{3} + 40x^{2}$