Problema Solution
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 provided by our tutors
let
l = the length of the first box
w = the width of the first box
h = the height of the first box
V1 = 10 ft^3 the volume(capacity) of the first box
The volume of the first box is V1 = l*w*h
2l = the length of the second box
2w = the width of the second box
2h = the height of the second box
The volume(capacity) of the second box is V2 = (2l)(2w)(2h) = 8*l*w*h = 8*V1 = 8*10 = 80 ft^3.