Aright rectangular prism has a volume of 144 cubic centimeters and a height of 4 centimeters. what are a possible length and width, in centimeters of the prism

The possible lengths and widths of the prism will be all those positive ordered pairs whose multiplication is equal to

Step-by-step explanation:

we know that

The volume of a rectangular prism is equal to

where

B is the area of the rectangular base

h is the height of the prism

In this problem we have

substitute and solve for B

-----> area of the rectangular base

therefore

The possible lengths and widths of the prism will be all those positive ordered pairs whose multiplication is equal to

the discriminant is 64 + 4*1*12 = 112

this is prime.

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'.