The dimensions for a rectangular prism are x+5 for the length, x+1 for the width, and x for the height. What is the volume of the prism?

Answer 1

#v = x^3 + 6x^2 + 5x#

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.

Using what we know as a substitute in this formula yields:

#v = (x + 5)(x + 1)x#
#v = (x+ 5)(x^2 + x)#
#v = x^3 + x^2 + 5x^2 + 5x#
#v = x^3 + (1 + 5)x^2 + 5x#
#v = x^3 + 6x^2 + 5x#
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Answer 2

The volume of the rectangular prism is (V = x^3 + 7x^2 + 5x).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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