High School

Dimensions of Box 2: \(x\) by \(4x - 1\) by \(x^3\).

The volume of Box 2 is given by:

A. \(4x^5 - x^4\)

B. \(4x^6 - x^3\)

C. \(4x^5 + x^4\)

D. \(x^3 + 5x - 1\)

Answer :

Final Answer:

The volume of Box 2 is given by: A. 4x⁵ - x⁴.

Explanation:

To find the volume of Box 2 with dimensions x by 4x - 1 by x³, we need to multiply the dimensions together.

Volume = length × width × height

In this case, the length is x, the width is 4x - 1, and the height is x³.

Volume = x × (4x - 1) × x³

Now, let's simplify this expression:

Volume = x × (4x⁴ - x³)

To get the final answer, multiply x by each term inside the parentheses:

Volume = 4x⁵ - x⁴

So, the volume of Box 2 is 4x⁵ - x⁴, which corresponds to option A.

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