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Lapatulllka [165]
3 years ago
7

Find the volume of a cube that will hold sixty-four 4.19 in^3 toy bouncy balls

Mathematics
1 answer:
Charra [1.4K]3 years ago
7 0
You he answer is 512 in3
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My name is Ann [436]

If x is a number that is both divisible by 4 and 5, then

\begin{cases}x\equiv0\pmod4\\x\equiv0\pmod5\end{cases}

4 and 5 are coprime, so we can use the Chinese remainder theorem to solve this system and find that x=20n is a solution to the system, where n is any integer. Simply put, any multiple of 20 fits the bill.

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x = 3.873 units

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so Use Pythagorean Theorem.

x^2 + 1^2 = 4^2

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