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The dimensions for a rectangular prism are x + 6 for the length, x + 5 for the width, and x for the height. What is the volume of the prism? Enter your answer as a polynomial in standard form.

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Answer:

The formula for volume is: v=l⋅w⋅h where v is the volume, l is the length, w is the width and h is the height.

Substituting what we know into this formula gives:

v=(x+5)(x+1)x

v=(x+5)(x2+x)

v=x3+x2+5x2+5x

v=x3+(1+5)x2+5x

v=x3+6

Step-by-step explanation:

The formula for volume is: v=l⋅w⋅h where v is the volume, l is the length, w is the width and h is the height.

Substituting what we know into this formula gives:

v=(x+5)(x+1)x

v=(x+5)(x2+x)

v=x3+x2+5x2+5x

v=x3+(1+5)x2+5x

v=x3+6x2+5