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A small box in the shape of a cube for packaging has a volume of 64 cubic inches.

For a medium box, the length, width, and height are all doubled. What is the ratio of the sides, area of the bases, and volumes of the boxes? Show your work.

What is the volume of a medium box? Show your work.

Ratios

Sides:

Area:

Volume:

Respuesta :

  1. The volume of a medium box is 512 cubic inches.
  2. The ratio of the sides of the small box to the medium box is 1:2.
  3. The ratio of the area of the small box to the medium box is 1:4.
  4. The ratio of the volume of the small box to the medium box is 1:8.

What are the ratio of the small box to the medium box?

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: https://brainly.com/question/26406747

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