# Block-shaped 7976

A block-shaped pool with a volume of 200m

^{3}is to be built in the recreation area. Its length should be 4 times the width, while the price of 1 m^{2}of the pool bottom is 2 times cheaper than 1 m^{2}of the pool wall. What dimensions must the pool have to make the construction the cheapest?## Correct answer:

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#### You need to know the following knowledge to solve this word math problem:

**algebra**- quadratic equation
- expression of a variable from the formula
**arithmetic**- cube root
- third power
**solid geometry**- cuboid
- surface area
- prism
**basic functions**- maximum
- minimum
- derivation

#### Units of physical quantities:

#### Grade of the word problem:

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