damn i cant post a drawing..there r 2 cubes, cube x and cube y and the length of the cube x is 12cm.

A) find the volume of cube x.
B) if cube y has a volume equal to 1/8 of the volume of cube x, find the length of its edge.

Cube x:

V = 12 * 12 * 12
V = 1,728 cu. cm.

1728/8 = 216

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To find the volume of a cube, you need to know the length of one side. In this case, the length of cube x is given as 12 cm.

A) To find the volume of cube x:
The volume of a cube is calculated by multiplying the length of one side by itself twice.
Formula for volume of a cube: Volume = s^3, where s is the length of one side.

In this case, the length of cube x (s) is 12 cm.
Volume of cube x = 12^3 = 12 x 12 x 12 = 1728 cubic cm.

B) To find the length of cube y:
Since the volume of cube y is given to be 1/8 of the volume of cube x, we can use the formula for volume to find the length of cube y.

Let's denote the length of cube y as s_y.
We know that Volume of cube y = (1/8) * Volume of cube x.

Volume of cube y = (1/8) * 1728 cubic cm.
Volume of cube y = 216 cubic cm.

Now, using the formula for the volume of a cube, Volume = s^3, we can find the length of s_y:
216 = s_y^3.

To find the length of s_y, take the cube root of both sides:
∛216 = ∛(s_y^3).

s_y = ∛216.

Calculating the cube root of 216 gives us the approximate value of s_y.
s_y ≈ 6 cm.

Therefore, the length of the edge of cube y is approximately 6 cm.