A rectangular box is twice as long as it is wide. The height of the box is 3 feet less than the width. If the box is x feet wide, what polynomial represents its volume in cubic feet?
A. 4X-3
B. 2X(cubed)+6x(squared)
C.2X(squared)-6X
D. 2X(cubed)-6X(squared)
any help??
x = W
2x = L
x-3 = H
H * L * H = volume
To find the polynomial that represents the volume of the rectangular box, we need to use the formula for the volume of a rectangular box: V = length × width × height.
Given that the box is twice as long as it is wide, we can represent the length as 2x.
Given that the height of the box is 3 feet less than the width, we can represent the height as x - 3.
Plugging these expressions into the formula for volume, we get:
V = (2x)(x)(x - 3)
V = 2x^3 - 6x^2
Therefore, the correct answer is D. 2X(cubed) - 6X(squared).