Question

a carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet . if the carpenter were to make a similar sandbox twice as long , twice as wide , and twice as high as the first sandbox , what would be the capacity , in cubic feet , of the second sandbox ?

Answer 1

First Box:

Height = x

Width = y

Length = z

Volume = xyz = 10 cubic feet

Second box:

Height = 2x

Width = 2y

Length = 2z

Volume = 2x * 2y * 2z = 8xyz

We know, xyz = 10 cubic feet

So, 8xyz = 8 * 10

= 80 cubic feet

Therefore, volume of second box is 80 cubic feet.