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Vadim26 [7]
2 years ago
13

the side length of a cube can be represented by the expression 2x^5. if the side length is doubled, write an expression to repre

sent the new volume of the cube.
Mathematics
1 answer:
Maurinko [17]2 years ago
6 0

Answer:

The expression which represents the New Volume of cube is 64x^{15}.

Step-by-step explanation:

Given:

Side length of cube(a) = 2x^5

Now Given that side length is doubled.

It means that the given side length is multiplied with 2.

New side length of cube (a) =  2 \times 2x^5 = 4x^5

Now We need to find the volume of cube with the new side length.

We know that Volume of a cube is equal to cube of side length.

Hence framing in equation form we get;

New Volume of cube = a^3

Now Substituting the value of a as new side length we get;

New Volume of cube =(4x^5)^3 = (4)^3(x^5)^3

Now Using Law of Indices which states (x^a)^b=x^{ab}

Therefore New Volume of cube = 64x^{15}

Hence, The expression which represents the New Volume of cube is 64x^{15}.

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