Due in 15 minutes somebody please help me ASAP!

a) Length= 8x

Width = 3x+2

Height = 2x+1

b) The volume of Prism = 640

c) Dimensions of prism are:

Length=  16

Width = 8

Height =  5

d) Volume of Prism is 640

Step-by-step explanation:

Volume of Prism =

a) What are the dimensions of prism.

Dimensions of prism can be found by finding the factors of the given Volume.

Volume of Prism =

Take 8x common

Now we will factor the term:

So, factors of term : are

Replace term with their factors

We know that

So,

So, Length= 8x

Width = 3x+2

Height = 2x+1

b) if x =2, use the polynomial to find Volume of prism.

Put x =2 and calculate Volume

Volume of Prism =

Volume of Prism =

So, The volume of Prism = 640

c) If x =2, Use the factors found in part a) to calculate the dimensions.

The dimensions are:

Length= 8x

Width = 3x+2

Height = 2x+1

Put x =2 and find answers

Length= 8x = 8(2) = 16

Width = 3x+2 = 3(2)+2 = 6+2 =8

Height = 2x+1 = 2(2)+1 = 4+1 = 5

So, Dimensions of prism are:

Length=  16

Width = 8

Height =  5

d) Using the dimensions found in part c, calculate the volume.

We know that

And

Length=  16

Width = 8

Height =  5

Finding Volume:

So, Volume of Prism is 640

it is c, trust i got your back lol

step-by-step explanation: