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The dimensions for a rectangular prism are x + 5 for the length, x + 9 for the width, and x for the height. What is the volume of the prism? Enter your answer as a polynomial in standard form.

User Ralh
by
5.8k points

1 Answer

2 votes

Answer:

Explanation:

v

=

x

3

+

6

x

2

+

5

x

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

)

(

x

2

+

x

)

v

=

x

3

+

x

2

+

5

x

2

+

5

x

v

=

x

3

+

(

1

+

5

)

x

2

+

5

x

v

=

x

3

+

6

x

2

+

5

x

User Rob Keniger
by
6.7k points
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