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

D.
`20x^6`

Explanation:

Since,

The volume of a box ( rectangular prism ) is,

`V=l* w* 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* 2x^3* 5x`

`=20x^(2+3+1)` (
`a^m* a^n=a^(m+n)` ),

`=20x^(6)`

Option D is correct.

Answer 2

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