Question

a cubical block of metal weighs 6 pounds. how much will another cube of the same metal weight if its side are twice as long

Answer 1

let  side of cube be x.so.its volume will be x³

weight if volume x³=6------------>1

Given side of other cude is 2x.So,its volume will be 8x³ and its weigth be y

i.e,8x³=y----------->2

on cross multiplying 1 and 2 we get y=48 i.e,wight of cube of side 2x

Answer 2

Answer:

If you double the sides of a cube, the ratio of the surface areas of the old and new cubes will be 1: 4. The ratio of the volumes of the old and new cubes will be 1: 8.

Weight is proportional to volume. So, If the first weighs 6 pounds, the second weighs 6x8 pounds =48.