A Welder Received an Order to Make a 1 Million Litre Cube-Shaped Tank.

Question: A welder received an order to make a 1 million litre cube-shaped tank. If he has only 4*2 meter sheets of metal that can be cut, how many metal sheets will be required for this order? (1 cubic meter = 1,000 litres)

1. 92
2. 90
3. 82
4. 78
5. 75

“A welder received an order to make a 1 million litre cube-shaped tank. If he has only 4*2 meter sheets of metal that can be cut, how many metal sheets will be required for this order? (1 cubic meter = 1,000 litres)”– is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.0

Answer

Approach Solution 1

1 million litre cube shaped tank = \(\frac{1,000,000}{1,000}\) = 1000 cubic meter tank

This means that we have cube shaped tank with a side of 10 m

i.e., \(10^3=1000\)

Therefore, surface area of this tank = number of the faces of the cube * area of each face

Surface area of this tank = \(6*10^2\) = 600\(m^2\)

Number of 4 * 2 = 8\(m^2\)  sheets needed = \(\frac{600}{8}\) = 75

Correct option: E

Approach Solution 2

Firstly, create a 3D structure in your mind.

We can see that side of the cube = 10 m

Secondly now how you could arrange 4 * 2 sheets in a 10 m side.

Interestingly if you draw the sheets in \(10*10\) side, you would only be able to put 12 such sheets in it with the area of \(2*2\) remaining: \(12*6\) = 72 sheets

Now as there are six sheets (in total) for the cube, so a total of 3 more sheets required to join adjacent sides.

So, total sheets needed are 75 sheets.

Correct option: E

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