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Alenkinab [10]
2 years ago
10

What is the volume of a cube if the diagonal of one side is 5sqrt(2)Must include diagram ​

Mathematics
1 answer:
jenyasd209 [6]2 years ago
5 0

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

#SPJ1

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