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Question 3
T
2 pts
AI
10
The length of one edge of a cube is 2x² y. If the volume of a cube is V = side3 then which is the
expression of the volume?
6x? y
8x3y3
8x® y3
2x3y3
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Respuesta :

Answer:

Volume of a cube = l³

where l is the length of the side of the cube

From the question

l = 2x²y

Therefore

Volume = (2x²y)³

= 8x^6y³

Hope this helps

The expression that represents the volume of the cube is 8x⁶y³

The formula for calculating the volume of a cube is expressed as;

Volume of a cube = s³

where s is the side length of the cube

Given that s = 2x² y.

Substitute the given value into the formula as shown;

Volume of the cube = (2x² y)³

Volume of the cube = 2³(x²)³y³

Volume of the cube = 8x⁶y³

Hence the expression that represents the volume of the cube is 8x⁶y³

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