Polynomial case study Gift box Rahul received a gift box on his birthday as shown in the adjoining f 

Rahul received a gift box on his birthday as shown in the adjoining figure. Answer the following questions:
(i) If each side of the box is represented as a linear expression, what will be the degree of its volume?
(a) One (b) two (c) three (d) four
(ii) If the height of the cuboidal box is x + 2, then what will be the area of the square base?
(a) x^3 + 2x^2 + x + 9 (c) 4x^2 + 8x+ 3
(b) - x^3 + 2x^2 - x + 9 (d) 4x^2 + 4x+ 1
(iii) If the volume of the cuboidal box is given by x3 + 13x2 + 32 x+ 20 and (x + 2) is its height, then what will be the area of its base?
(a) x^2 + 10x+ 11 (c) x^2 - 11x + 10
(b) x^2 - 10x+ 11 (d) x^2 + 11x+ 10
(iv) Using Information from part (iii), write the dimensions of the base
(a) x + 1; x + 10 (c) x - 1; x + 10
(b) x - 1 ; x - 10 (d) x + 1; x - 10
(v) What is the volume of the cuboidal box if x = 1?
(a) 66 Cubic units (c) 46 Cubic units
(b) 56 Cubic units (d) 36 Cubic units