Question 145772: If each demention of a box is quadrupled, how are the surface area and volume affected?
Answer by shahid(44) (Show Source):
You can put this solution on YOUR website! let L,W,H be the dimensions of the box then volume= L x W x H=LWH now if we each of the dimension is quadruppled new dimension will be 4L,4W,4H so volume will be V=4L x 4W x 4H=64LWH so volume is increased by 64 times the original volume.
similarly surface area = 2(LW+LH+WH)
new surface area = 2(16LW+16LH+16HW)
=32(LW+LH+HW) surface area increased by 32 times
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