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A welder received an order to make a 1 million liter [#permalink]

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16 Jan 2012, 09:59

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A welder received an order to make a 1 million liter cube-shaped tank. If he has only 4x2 meter sheets of metal that can be cut, how many metal sheets will be required for this order? (1 cubic meter = 1,000 liters)

A welder received an order to make a 1 million liter cube-shaped tank. If he has only 4x2 meter sheets of metal that can be cut, how many metal sheets will be required for this order? (1 cubic meter = 1,000 liters)

92 90 82 78 75

1 million liter cube-shaped tank = 1,000,000/1,000 = 1,000 cubic meter tank --> the cube-shaped tank with a side of 10m (10^3=1,000).

Surface area of this tank would be 6 (# of faces of a cube) * 10^2 (area of each face) = 600 m^2.

The question say: A welder received an order to make a 1 million liter cube-shaped tank. (1 cubic meter = 1,000 liters)

In other words, the tank is going to have a volume of 1000 cubic meters. That would equal 1 million liters.

A cube with a volume of 1000 cubic meters must be (10 meters) x (10 meters) x (10 meters).

The question doesn't specify whether this tank should have a closed top or an open top. (The real GMAT is good about specifying things like that.) Here, we are going to assume a closed top, only because if the top is open, we don't use enough metal --- we get an answer smaller than any of the answer choices. A closed-top cube, a full cube, has 6 sides, each of which is (10 meters) x (10 meters). That's a total surface area of 600 sq m.

The question tells us: he has only 4x2 meter sheets of metal that can be cut.

Each sheet has an area of 8 sq m. How many of these need to fill up 600 sq m? 600/8 = 75. He needs 75 sheets.

Answer = E

It appears that both Mr. Bunuel and I got the same answer, different from the OA you posted. Perhaps you miscopied.

Please let me know if you have any questions on this.

Re: A welder received an order to make a 1 million liter [#permalink]

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09 Feb 2014, 13:27

10^5 for volume in a cube implies 10^2*10^2*10^2 which means that the surface area of a side is 10^2. Well, we want to build the total surface area so if cube has 6 sides then 6*100 = 600. Since the area covered by each sheet is 8 , then we have 600/8 = 75 sheets needed

10^5 for volume in a cube implies 10^2*10^2*10^2 which means that the surface area of a side is 10^2. Well, we want to build the total surface area so if cube has 6 sides then 6*100 = 600. Since the area covered by each sheet is 8 , then we have 600/8 = 75 sheets needed

E

Let me know if this is clear Cheers J

Dear jlgdr, Forgive me, my friend, but I am going to correct a couple of mistakes in your approach, in an attempt to strengthen your understanding as well as the understanding of anyone else who chances upon this post.

First of all, 1 million = 1,000,000 = 10^6, not 10^5.

Second, the 1 million in this problem is 1 million liters, and the liter is a unit of volume. If you say that the cube is 10^2 = 100 on each edge, then that's 100 whats? a 100 cube-roots-of-a-liter?? You see, something becomes really funky about the units here. (In fact, a liter is a cubic decimeter, that is, a cube that is 10 cm on each side, but that would put the side of the cube at 100 decimeters, a most peculiar unit to employ.)

Finally, if the cube really were (10^2)*(10^2)*(10^2), then (10^2) would be the length of an edge, and (10^2)*(10^2) = 10^4 would be the area of a face. In general, if a cube has volume L^3, it has edge-length L, and each face has an area of L^2.

Your mistakes canceled, so you wound up with the correct answer. It's very important to appreciate when you get a question correct for correct reasons, and when you get it correct for incorrect reasons.

Re: A welder received an order to make a 1 million liter [#permalink]

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10 Feb 2014, 12:11

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Hi ,

THIS IS NOT QUESTION RELATED RESPONSE!!!!!

After i select an option in GMAT timer , my screen becomes dull (greyed out) which makes the screen non-accessible i.e. i can not click anywhere on screen . The only option left is to refresh the whole page which brings me to start .

After i select an option in GMAT timer , my screen becomes dull (greyed out) which makes the screen non-accessible i.e. i can not click anywhere on screen . The only option left is to refresh the whole page which brings me to start .

Does anyone else faced this issue

regards, beatthegmat05

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Re: A welder received an order to make a 1 million liter [#permalink]

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01 Mar 2015, 12:11

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Re: A welder received an order to make a 1 million liter [#permalink]

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11 Jun 2016, 07:17

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