Question

Write an expression that represents the volume of a rectangular prism (box) with length 2x^2, width 2x^3, and height 5x. (For any rectangular prism length l, width w, and height h, V=lwh)
A. 10x^5
B.10x^6
C. 20x^5
D. 20x^6

Answer 1

The expression that represents the volume of a rectangular prism with length 2x^2, width 2x^3, and height 5x should be in accordance to the formula of volume of a rectangular prism which is V = lwh. Thus, it should be

V=2x^2(2x^3)(5x) = 20x^6 -------> OPTION D

Answer 2

Answer:

D. $20x^6$

Step-by-step explanation:

Since,

The volume of a box ( rectangular prism ) is,

$V=l\times w\times h$

Where, l is the length of the box,

w is its width,

h is its height,

Here,

$l=2x^2$

$b=2x^3$

$h=5x$

Hence, the volume of the box is,

$V=2x^2\times 2x^3\times 5x$

$=20x^{2+3+1}$    ( $a^m\times a^n=a^{m+n}$ ),

$=20x^{6}$

Option D is correct.