A juice container is a square prism with base edge length 4 inches. When an 8-inch straw is inserted into the container as shown, exactly 1 inch remains outside the container. The length of AB is ___inches, to the nearest inch.

Question

abmon98 · Answer

Could you draw the shape of that square prism

anonymous · Answer

attachment

abmon98 · Answer

i think we would use pythagros theorm method

radar · Answer

Follow the suggestion of @Abmon98.  first compute the length of the diagonal for the 4 X 4 square bottom.  CB = the square root of the sum of the two sides squared.  $$CB=\sqrt{4^{2}+4^{2}}=\sqrt{32}=4\sqrt{2}$$
Now solve wait, wait.....if AB is the length of the straw inside the container, it is 8-1 or 7 inches.  I thought they were asking for the height of the container.

radar · Answer

if it was the height , it would be the$$\sqrt{49-32 }=\sqrt{17}$$For some reason that seems too short, but I don't see any errors.