The volume of the prism is 144 ft^3. If we use the letter V to represent volume, the formula for the volume of a rectangular prism is V=length*width*height. When you plug in the numbers, the equation is V=12*6*2. When you multiply these three numbers together, you get 144. Because you are finding the volume, your units are cubed, so your answer is 144 ft^3. I have attached an image of this problem written out (I’m sorry if the image is bad, I drew it on my phone). If you need any more help or any clarification, please let me know and I will be happy to help!
<u> Solution-</u>
The given function is,






Therefore, at x=0, -1, 1 , f(x) will be 0 . Hence, 0, -1 ,1 are the x-intercepts.
Plotting the graph on desmos, the graph will be as in the attachment.
See, please, suggested decision:
When the line intersects the xy-plane, then parameter z=0, when does the xz - y=0 and when does yz, x=0. All the details are in attachment.
If it's possible, check arithmetic part.
P = 58
L = 2W + 5
58 = 2L + 2W
58 = 2 (2W +5) + 2W
58 = 4W + 10 + 2W
58 = 6W + 10
48 = 6W
8 = W
So length is
L = 2 (8)+5 = 16+5=21