Answer: 12
Step-by-step explanation:
The what is the volume of a cube if the diagonal of one side is 5sqrt(2) is V = 125 cubic units
<h3>What is a square?</h3>
A square is a shape with 4 sides
Let the side of the square be x units. If the length of the diagonal is 5√2, the value of x can be expressed using the pythagoras theorem as shown;
x² + x² = (5√2)²
2x² = 25(2)
x² = 25
x = 5 units
Determine the volume
V = x³
V = 5³
V = 125 cubic units
Hence the what is the volume of a cube if the diagonal of one side is 5sqrt(2) is V = 125 cubic units
Learn more on volume of cube here: brainly.com/question/1972490
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Answer:

Step-by-step explanation:
has a negative, fractional indice; this negative sign in this context means to make the base fraction a reciprocal (flip it!):
The denominator is the value by which we should root, then the numerator is the power the fraction should be raised to: [root and then raise]
This fraction then becomes:

Answer/Step-by-step explanation:

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