The volume of a cube is given by the formula V = s^3, where s is the length of a side.

If each side of the cube is reduced by 20%, the new side length is 0.8s.

The new volume V' is then (0.8s)^3 = 0.512s^3.

The reduction in volume is then V - V' = s^3 - 0.512s^3 = 0.488s^3.

As a percentage, this is a reduction of 48.8%.

So, the volume of the cube will be reduced by 48.8%.

Question

The volume of a cube is given by the formula V = s^3, where s is the length of a side.

If each side of the cube is reduced by 20%, the new side length is 0.8s.

The new volume V' is then (0.8s)^3 = 0.512s^3.

The reduction in volume is then V - V' = s^3 - 0.512s^3 = 0.488s^3.

As a percentage, this is a reduction of 48.8%.

So, the volume of the cube will be reduced by 48.8%.

Knowee AI · Accepted Answer

The volume of a cube is given by the formula V = s^3, where s is the length of a side.

If each side of the cube is reduced by 20%, the new side length is 0.8s.

The new volume V' is then (0.8s)^3 = 0.512s^3.

The reduction in volume is then V - V' = s^3 - 0.512s^3 = 0.488s^3.

As a percentage, this is a reduction of 48.8%.

So, the volume of the cube will be reduced by 48.8%.

If each side of a cube is reduced by 20%, the volume of the cube will be reduced by?40%48.8%60%20%