Question

The side of a cube is increased by 25%. What IS the increased % in its volume.

Answer 1

Step-by-step explanation:

To find the % increase in surface area, consider:

 

A cube has 6 square surfaces.  The surface area of each surface is the edge length [S] squared (remember L*W?).

So, the surface area of a cube is 6*S^2 = 6*S*S.

If the length of each edge is increased by 25%, the new surface area is  6*(1.25*S)*(1.25*S)  

        Or,   6*( (5/4)*S )*( (5/4)*S ) = 6* (25/16) * S^2

                       = (75/8) * S^2      this is a surface area of   9.375 * S^2  

                           And as a ratio, the increase is  

                               ( 9.375*S*S )  / ( 6*S*S)     =  1.5625 times as large

                           As a %, the surface area would increase by 56.25%

Answer 2

Answer:

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