- The volume of a medium box is 512 cubic inches.
- The ratio of the sides of the small box to the medium box is 1:2.
- The ratio of the area of the small box to the medium box is 1:4.
- The ratio of the volume of the small box to the medium box is 1:8.
<h3>What are the ratio of the small box to the medium box?</h3>
The first step is to determine the side lengths of the small box.
Side length = ∛64 = 4 in
Side lengths of the medium boxes = 4 x 2 = 8 inches
Volume of the medium box = 8³ = 256 cubic inches
The ratio of the sides of the small box to the medium box = 4 : 8 = 1:2.
The ratio of the area of the small box to the medium box= (4 x 4) : (8 x 8) = 1:4.
The ratio of the volume of the small box to the medium box = 4³ : 8³ = 1 : 8.
To learn more about the volume of a cuboid, please check: brainly.com/question/26406747
