The volume of a rectangular prism (shown below) is 48x3 - 56x2 + 16x. Answer the following questions. (1) What are the dimensions of the prism? (2) If x = 2, use the polynomial 4873 + 562? + 160 to find the volume of the prism. (3) If x = 2, use the factors found in part a to calculate each dimension. (4) Using the dimensions found in part c, calculate the volume. height length Show all work.

i think hope this helps it took forever to figuer out

Step-by-step explanation:

V = 48x3 + 56x2 + 16x

Since a rectangular prism is a 3 dimensional shape, we must have 3 dimensions. Volume of a rectangular prism is given by V = bhw, so let us solve for b, h, and w:

V = bhw = 48x3 + 56x2 + 16x

V = 8x(6x2 + 7x + 2)

V = 16x(2x + 1)(3x + 2)

Very unhappy/6th graders is 16

Very unhappy 8th graders is 1

Unhappy/total is 50

Neutral/7th graders is 37

Happy/6th graders is 2

Happy/7th graders is 30

Unhappy 8th graders is 12

Unhappy/total is 27

Total/7th graders is 58