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
Next
Previous

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

Learn more here: link

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

Options:

(A)x = StartFraction 6 over 4 EndFraction

(B)x = Negative StartFraction 6 over 4 EndFraction

(C)x minus one-fourth = negative StartFraction 5 over 4 EndFraction

(D)x = negative three-halves

(E)x = negative three-fourths

(B)x = Negative StartFraction 6 over 4 EndFraction

(D)x = negative three-halves

Step-by-step explanation:

We want to determine which fraction is equivalent to

This value of x is the result in Option B.

Reducing to its lowest form:

which is Option D.

Therefore, the correct options are: B and D