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Box 1 has dimensions 6/1/2 by 8/1/2 by 11. Box 2 has dimensions 3/3/8 by 11/7/8 by 13/5/8. Which box has the greater volume?

Answer 1

Sophia Alfred

Box 1 has the greater volume

Assuming 6/1/2 means #6 1/2# and similarly for the other dimensions given.

Volume = length #xx# width #xx# depth

Box 1 has a volume #color(white)("XXX")6 1/2 xx 8 1/2 xx 11 =607.75#

Box 2 has a volume (approximate, I used a calculator) #color(white)("XXX")3 3/8 xx 11 7/8 xx 13 5/8 ~~546.06...#

Box 1 therefore has a larger volume.

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Answer 2

Wyatt Anderson

Box 2 has the greater volume.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.