Box 1: Dimensions: x by 3x by x3 Area of base = x(3x) = 3x2
Box 2: Dimensions: x by 4x – 1 by x3
Area of base = x(4x – 1) = 4x2 – x

Complete the statements about the number of terms in the polynomial representing the volume of each box.

Box 1’s volume will be a
.
Box 2’s volume will be a
.
Explain your reasoning.

6 spoons of sugar for every 21 cups of flour

step-by-step explanation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

its 50 miles away from the starting point