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. (Enter only the number.)

Question

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. (Enter only the number.)

anonymous · Answer

attachment

anonymous · Answer

@zepdrix

anonymous · Answer

@ranga

zepdrix · Answer

Hmmm maybe I'm not reading the picture correctly,
because to me it seems like the length of AB should be 7 inches.
It's the length of the straw, minus the 1inch outside.

anonymous · Answer

thats what i think but the straw is also at a diagonal i think

zepdrix · Answer

But isn't AB also that same diagonal? :\

anonymous · Answer

oh ya i didnt read the question right i thought it said AC :P lol

zepdrix · Answer

Hmm AC would have made more sense....
AB is just the length of the straw minus the part outside the carton +_+

anonymous · Answer

thanks

i have a few more questions, can you help me?

zepdrix · Answer

sure.

anonymous · Answer

Find the length of BC to the nearest tenth of an inch. _______ (Enter only the number.)

anonymous · Answer

@zepdrix

zepdrix · Answer

BC is the diagonal along the bottom.
Let's look at one of those triangles.|dw:1401683749301:dw|

anonymous · Answer

oh so should i use pythagorean theorem to find BC?

zepdrix · Answer

Yes :)

anonymous · Answer

thanks! i got 5.7

zepdrix · Answer

good