Respuesta :
Answer:
option C is correct
[tex]8x^5+24x^3+48x^2[/tex]
Step-by-step explanation:
As per the statement:
The length(l), width(w) and height(h) of the rectangular prism are:
l = 4x
w = 2x
[tex]h = x^3+3x+6[/tex]
We have to find volume.
Use the formula:
[tex]V = lwh[/tex]
Substitute the given values we have;
[tex]V = 4x \cdot 2x \cdot (x^2+3x+6)[/tex]
⇒[tex]V = 8x^2 \cdot (x^3+3x+6)[/tex]
Using distributive property, [tex]a\cdot (b+c) = a\cdot b+ a\cdot c[/tex]
then;
[tex]V = 8x^5+24x^3+48x^2[/tex]
Therefore, the volume of the rectangular prism is, [tex]8x^5+24x^3+48x^2[/tex]
