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20 POINTS !! PLEASE ANSWER THIS MATH QUESTION!!

20 POINTS !! PLEASE ANSWER THIS MATH QUESTION!!-example-1
User Mlubin
by
4.5k points

2 Answers

5 votes

Answer:

3x

Explanation:

Vp=lwh

Vp=9x*x*3x

Vp=27x^3

Vcube=s^3

27x^3=s^3

s^3=27x^3

s=cube root of(27x^3)

s=cube root of(3*3*3*x^3)

s=3x

Thus, the answer is 3x

User NeepNeepNeep
by
4.7k points
4 votes

Answer:

3x

Explanation:

The volume of the prism is

V = l*w*h

V = 9x *x*3x = 27x^3

We want the volume of a cube

V = s^3

27x^3 = s^3

Take the cube root of each side

27 ^1/3 x^3 ^ 1/3 = s^3 ^ 1/3

3x = s

The side length is 3x

User Caleb Hillary
by
4.5k points