Respuesta :
(4x)(5x)(x^2+x+2)
20x^2(x^2+x+2)
Answer: 20x^4+20x^3+40x^2 cubic units
20x^2(x^2+x+2)
Answer: 20x^4+20x^3+40x^2 cubic units
Answer:
[tex]20x^4+20x^3+40x^2[/tex] cubic units
Step-by-step explanation:
Let l be the length, w be the width and h be the height of the rectangular prism.
As per the statement:
Given the length(l) = 4x units , width(w) = 5x units, and height(h) = [tex]x^2+x+2[/tex] units
We have to find the volume of a rectangular prism.
Use the formula:
[tex]V = lwh[/tex]
Substitute the given values we have;
[tex]V = 4x \cdot 5x \cdot (x^2+x+2)[/tex]
⇒[tex]V =20x^2 \cdot (x^2+x+2)[/tex]
Using distributive property: [tex]a \cdot (b+c) = a\cdot b+ a\cdot c[/tex]
[tex]V = 20x^4+20x^3+40x^2[/tex]
Therefore, the volume of rectangular prism is, [tex]20x^4+20x^3+40x^2[/tex] cubic units
