The volume of a cube is 8 . Find the volume of a cube whose edges are twice those of the first cube.

Question

The volume of a cube is 8  . Find the volume of a cube whose edges are twice those of the first cube.

Quizplus · Accepted Answer

Let's call the length of the edge of the first cube "x". 
We know that the volume of a cube with edge length "x" is given by V1 = x^3. 
We are given that V1 = 8, so x^3 = 8. 
Taking the cube root of both sides, we get x = 2. 
So the first cube has edges of length 2. 
The second cube has edges that are twice the length of the first cube's edges, so the length of each edge of the second cube is 2*2 = 4. 
The volume of the second cube is then V2 = (4)^3 = 64. 
Therefore, the answer is D) 64.

The Volume of a Cube Is 8