Answer
24 ft^3
Work Step by Step
Ratio of Areas= 52:208
Simplify the ratio: 1:4
Ratio of sides= Square root of 1 : Square root of 4
Ratio of sides: \sqrt 1 : \sqrt 4
Ratio of Volumes: 1 cubed : 2 cubed
Ratio of Volumes: 1:8
The bigger figure is 8 times bigger than the smaller one.
Divide the bigger figure (192) by 8 to get the volume of the smaller figure.
192/8 = 24 ft^3
The volume of smaller figure: 24 ft^3