Question

Find the volume of a rectangular prism if the length is 4x, the width is 2x, and the height is x3 + 3x + 6. Use the formula

Answer 1

8x2(x3 + 3x + 6)

8x5 + 25x3 + 48x2

Answer 2

Answer:

option C is correct

$8x^5+24x^3+48x^2$

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

$h = x^3+3x+6$

We have to find volume.

Use the formula:

$V = lwh$

Substitute the given values we have;

$V = 4x \cdot 2x \cdot (x^2+3x+6)$

⇒$V = 8x^2 \cdot (x^3+3x+6)$

Using distributive property, $a\cdot (b+c) = a\cdot b+ a\cdot c$

then;

$V = 8x^5+24x^3+48x^2$

Therefore, the volume of the rectangular prism is, $8x^5+24x^3+48x^2$