Kevin S. answered • 02/03/13

1 - Since it's a cube, we know that V = s^{3} and, in this case, V = 6 cm^{3} = s^{3}.

Now if the sides are doubled, then the new volume would be V_{2} = (2s)^{3 = }2^{3}s^{3} =8s^{3}.

Since s^{3} = 6 cm^{3}, then V_{2} = 8(6 cm^{3}) = 48 cm^{3}

3. Not sure if something is missing from this, but... If the large cube dimensions are three times that of a small cube, then similar to #1, V_{2} = (3s)^{3} = 27s^{3} - so the Volume of the large cube would be 27 times that of the small cube.

6. Volume of a cylinder is ∏r^{2}h. Volume of a cone is 1/3 ∏r^{2}h. if the base and the height are the same, then cone would have a volume of 1/3 of the cylinder, or 27∏ cm^{3}