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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)

A10x^5

B.10x^6

C20x^5
D20x^6

Verified Answer :

taskmasters

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:

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.

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