Question

Yash designs and builds handmade wooden furniture. He is designing a new box to
have a volume of 48 cubic feet. All the boxes he built are 2 feet wider than their
height and 2 feet longer than their width.
a) Represent the volume of the box with a polynomial in ‘x’.
b) What is the degree of the polynomial so obtained?
c) Identify all the zeroes of the polynomial so obtained.
d) If the height is 2feet find the length and breadth of the box.
e) Write a polynomial in ‘x’ to find the surface area of the box.

Answer 1

If the width is w, then
v = w(w+2)(w-2) = 48
w=4. 4*6*2 = 48

(e) the surface consists of 3 pairs of rectangular faces, so the area is
2(4*6 + 4*2 + 6*2)

seems to me like (d) is useless, since you have already solved the dimensions...

Answer 2

a) Represent the volume of the box with a polynomial in ‘x’.
ls it,
x3 -0x2 -4x -48 = 0 .correct sir.
c) Identify all the zeroes of the polynomial so obtained.
sir, how can we find out the zeroes.

Answer 3

Ausu